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August 24 of 2025
<Homework 5 Problem 25.14 Part A Calculate the ratio of the resistance of 11.0 m of aluminum wire 1.8 mm in diameter, to 20.0 m of copper wire 1.9 mm in diameter. Express your answer using two significant figures. Request Answer Provide Feedback
Homework 5 roblem 25.41 A power station delivers 860 kW of power at 12,000 V to a factory through wires with total resistance 3.0 \( \Omega \) Part A How much less power is wasted if the electricity is delivered at \( 50,000 \mathrm{~V} \) rather than \( 12,000 \mathrm{~V} \) ? Express yourā¦
(b) Ans object or mass \( m_{t}=20.00 \mathrm{~kg} \) traveljing at an ingle of \( 30^{\circ} \) North of West [6] Taving initiel velocity of \( 25.00 \mathrm{~m} / \mathrm{s} \), collides with a mass \( m_{2}=30.00 \mathrm{~kg} \) traveling at an angle of \( 2 \pi^{\circ} \) North of ą¤astā¦
molecule is \( 1,13 \AA \). Locate the centre of mass of the molecule relative to carbon atom. [0.602 A ] 2. Two bodies of masses 2 g and 10 g have position vectors \( 3 \hat{i}+2 \hat{j}-\hat{k} \) and \( \hat{i}-\hat{j}+3 \hat{k} \) respectively. Find the position vector and distance of C.M.ā¦
The eniliziong. Lhat wolocitics of the senjecive and the target antar (b) \( A_{12} \) object uf massi \( 7 y_{1}-20.00 \mathrm{~kg} \) iraveling at inn Rusin of \( 30^{\circ} \) North ur west [6] Ferving inditial velocity of \( 25.00 \mathrm{~m} / \mathrm{s} \), callides wich is ma3s \(ā¦
\( [0.602 \AA] \) 2. Two bodies of masses 2 g and 10 g have position vectors \( 3 \hat{i}+2 \hat{j}-\hat{k} \) and \( \hat{i}-\hat{j}+3 \hat{k} \) respectively. Find the position vector and distance of C.M. from the origin. \[ \left[\frac{1}{6}(18 \hat{i}-3 \hat{j}+14 \hat{k}) ; 2.73 \text {ā¦
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
Fall 2025ļ¼1 Full Term Home Syllabus Simple Syllabus Announcements Modules Grades Fall 2025ļ¼1 Full Term ome ļ¼1ļ¼ The plot below represents the function \( f(x) \) Solve \( f(x)=3 \) ļ¼ 4 \( -1 \) 3.2 \( \times \) Hide work entry Show work here by typing it or attaching a file or picture Edit \(ā¦
58. A metal jug of negligible thermal capacity contains a mass \( M \) of water at a temperature \( T_{1} \). A dry block of ice (specific latent heat of fusion \( =L_{i} \) ) of mass \( m \) at \( 0^{\circ} \mathrm{C} \) is dropped into the water (specific heat capacity \( =\mathrm{c} \) ) andā¦
4. The graph given below shows the positions of a body at different times. Calculate the speed of the body as it moves from (i) A to B (ii) \( B \) to \( C \) and (iii) C to D .
QUESTION TWO (a) Define linear momentum, elastic collision and inelastic collision. [2, 2, 2] (b) State the law of conservation of linear momentum. [2] (c) A tennis ball of mass 40 g , moving to the right with a speed of \( 5 \mathrm{~m} / \mathrm{s} \), has an elastic collision with a targetā¦
21:08 July 30 09:32 Edit EXAMPLE Consider a large cubic ice block floating in sea water. The specific gravities of ice and seawater are 0.92 and 1.025 , respectively. If a 10 cm high portion of the ice block extends above the surface of the water, determine the height of the ice block belowā¦
155. Maximum motional EMF in a conductor is given as? a) \( \mathrm{e}=-\mathrm{vB} \mid \sin \Delta \) b) \( \mathrm{e}=-\mathrm{v}^{2} \mathrm{BL} \) c) \( \mathrm{e}=-\mathrm{vBL} \cos \Delta \) d) \( \mathrm{e}=- \) vBL 156. Force experienced by charge particle in magnetic field is? a)ā¦
154. For which of the following process heat energy is entirely converted into mechanical energy? a) Isothermal expansion b) Adaibatic expansion c) Isothermal compression d) Adaibatic compression
148. The dimension of torr is ? a) \( M L{ }^{-1} \mathrm{~T}^{2} \) b) \( \mathrm{ML}^{-1} \mathrm{~T}^{2} \) c) \( \mathrm{ML}^{2} \mathrm{~T}^{-1} \) d) \( M^{2} L T^{2} \) 149. Absolute potential energy of body at Earth's surface is equal to? a) -GM/R b) \( -\mathrm{GMm} / \mathrm{R}^{2}ā¦
142. The root mean square value of Alternating current or voltage is equals to? a) \( \sqrt{ } 2 \) times the peak value b) Twice the peak value c) \( 1 / \sqrt{ } 2 \) times the peak value d) Eqauls to peak value
140. 1 mega watt hour is equal to? a) \( 36 \times 10^{8} \mathrm{~J} \) b) \( 36 \times 10^{6} \mathrm{~J} \) c) \( 3.6 \times 10^{8} \mathrm{~J} \) d) \( 3.6 \times 10^{6} \mathrm{~J} \)
128. Two forces, each of magnitude \( F \) have a resultant of the same magnitude \( F \). The angle between two vectors is? a) \( 45^{\circ} \) b) \( 120^{\circ} \) a) \( 150^{8} \) d) \( 60^{\circ} \)
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
Q. 6 (a) (i) State the law of conservation of linear momentum. [2 Marks] (ii) A 2.0 kg ball moving at \( 10 \mathrm{~m} / \mathrm{s} \) makes an off-center collision with a 3.0 kg ball that is initially at rest. After the collision, the 2.0 kg ball is deflected at an angle of \( 30^{\circ} \)ā¦
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
Question 3 Calculate the horizontal force \( F \) required such that \( m_{1}=9 \mathrm{~kg} \) does not slide up or down along the wedge \( m_{2}=150 \mathrm{~kg} \). All surfaces are frictionless and \( \theta=20^{\circ} \).
70. During inhalation, what causes air to enter the lungs? a) Contraction of abdominal muscles b) High pressure inside lungs c) Diaphragm relaxes, d) Decreasing thoracic pressure
65. Which of the following is the function of cilia in the trachea? a) To make mucus to flow towards the pharynx b) To support the wall of the trachea c) To manufacture and release mucus d) To moisten the passing inhaled hair
EXAMPLE A long solid cylinder of radius 0.8 m hinged at point \( A \) is used as an automatic gate, as shown in Fig. When the water level reaches 5 m , the gate opens by turning about the hinge at point \( A \). Determine (a) the hydrostatic force acting on the cylinder and its line of actionā¦
4)A light ray is incident at an angle of \( 45^{\circ} \) with the normal to \( \mathrm{a} \sqrt{ } / 2 \mathrm{~cm} \) thick plate ( \( \mu=2.0 \) ). Find the shift in the path of the light as it emerges out from the plate. 5)Locate the image of the point \( P \) as seen by the eye in theā¦
QUESTION ONE (a) Dimensional analysis plays a vital role in the quantitative analysis of physical quantities. (i) What is a physical quantity? [1 mark] (ii) State two applications of dimensional analysis? [2 marks] (iii) State any two limitations of dimensional analysis? [2 marks] (b) Aā¦
3)A light ray is incident normally on the face AB of right - angled prism ABC ( \( \mu= \) 1.50 ) as shown in figure. What is the largest angle \( \varphi \) for which the light ray is totally reflected at the surface \( A C \) ?
2)A ray of light in a medium of refractive index \( \mu_{1} \) is partly reflected and refracted at the boundary of a medium of refractive index \( \mu 2 \), as shown. If \( \angle B O C=90^{\circ} \). The value of angle \( i \) is given by
b) A plant contains \( 3 n=21 \) chromosomes. What is the haploid number?
1)A fish rising vertically to the surface of water in a lake uniformly at the rate of \( 3 \mathrm{~m} / \mathrm{s} \) observes a king-fisher (bird) diving vertically towards the water at a re of \( 9 \mathrm{~m} / \mathrm{s} \) vertically above it. If the refractive index of water is \( (4 /ā¦
9. A bullet of mass 15 g and travelling at a speed of \( 600 \mathrm{~m} / \mathrm{s} \) strikes a block of mass 3 kg which is suspended by a string of length 4 m . The bullet goes through the block in a very short time and the center of mass of the block is found to rise a vertical distance ofā¦
Q1. An atto cycle engine having a elearence volt of 250 cc and a compression ratio of 8 . The ratio of pressure rise at const. walm is 4 . If. the initial pressure in 1 bar, find the W.D for cycle \& Mean effective premure toke \( y=1.4 \).
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CFISD Schoology coplanar - Google Search cfisd.schoology.com/common-assessment-delivery/start/7964785381?action=onresume\&submissionld=1685043336 CFISD Bookmarks Desmos / Testing Introduction to Coc- Typing Lessons - Le. kinglegend.daily.ca/-. Home All Bookmarks 08/22 - PLP 1.1 Test Review Autoā¦
\begin{tabular}{|l|l|} \hline Question 1 & Vraag 1 \\ \hline \begin{tabular}{l} A beam with simple supports at B and E is loaded as shown. Use the problem-solving technique presented to set up the solution framework using the symbolic variables in the question. \\ Given that \( P_{1}=10ā¦
10. A 750 kg car has a maximum power of 30 kw and moves against a resistance to motion of 800 N . Find the maximum speed of the car: i. on the level road. ii. up an incline of \( \arcsin \frac{1}{10} \) to the horizontal. iii. down the same incline.
12.9.4 A solid shaft must transmit 500 kW at \( 250 \mathrm{~min}^{-1} \). The maximum terque is \( 30 \% \) more than the average torque. Determine: (a) the diameter, if \( \tau=60 \mathrm{MPa} \) (b) the angle of twist ( \( \theta \) ), in degrees, for a shaft of 3 m length, if the maximumā¦
KIPS| \( { }^{\text {NTWH.TETS }} \) Q 32 Two capper wires are of same length; one is twice as thlek as the other. The resistances of the wires are in the ratio of: A. 1:2 C. 1:8 B.1:4 D. 1 : 16 Q33 The Internal reslatance is offered by the A. Conductor C. Circuil B. Battery D. Externalā¦
CLASS-2 Vel-1 Di \( \operatorname{Lim}_{\rightarrow-1}^{x} \) CVer - \( M \) A) had 3 tart then preney timunle their bumes \( \cdot P \) and ' \( C \) ' from different paints. Witesh of A A stars his purny outler B) \( R \) i + lasber than \( A \) C. A and B meat duing their jucner D. A smilā¦
12.9.2 Determine the diameter of a solid shaft that transmits 50 kW power at \( 75 \mathrm{~min}^{-1} \). \[ \text { Given: } \begin{aligned} T_{\max } & =T_{\max } \times 1,33 \\ \tau & =\text { shearing stress }=60 \mathrm{MPa} \end{aligned} \]
5. The graph below represents motion of car. The displacement of the car in 20s is A) 160 m B) 20 m C) 90 m D) 10 m
The graph below represents motion of car. The displacement of the car in \( 2 \mathrm{~A}_{5} \) is 0 \( \qquad \) in \( 2 \mathrm{ds}_{5} \) is \( \rightarrow 1 \) C) \( A \) and \( B \) mee Which of the fo Which of the A) 160 m B) 20 m C) 90 m D) 10 m
uss and state if the members are in tension or compression. he truss is supported by ball-and socket joints at \( C, D, E \), and Note: Although this truss is indeterminate to the first degree, solution is possible due to symmetry of geometry and loading. Prob. 3-40 41. Determine the force inā¦
Figure 6.1 shows a conical pendulum with a bob of mass 5 kg . The bob revolves in a horizontal circle of radius 1.25 m , with a period of 2.95 seconds, at constant speed. Find the tension in the string.
Figure 5.1 Find the moment of inertia of a disc of mass 4 kg and radius 30 cm about the lowing axes. axis passing through the center and perpendicular to the plane of the disc. [2] axis touching the edge and perpendicular to the plane of the disc. [2] JESTION 6 Figure 6.1 shows a conicalā¦
1. Identify the relation of the first pair and complete the second pair properly. The resultant force acting on a body is zero : Balanced force (1) Internal forces are acting within a body : \( \qquad \) 2. When viewed from a distance, ponds appear to be shallower than the actual. This isā¦
1. Identify the relation of the first pair and complete the second pair properly. The resultant force acting on a body is zero: Balanced force (1) Internal forces are acting within a body \( \qquad \) 2. When viewed from a distance, ponds appear to be shallower than the actual. This is dueā¦
5. A roller coaster car of mass 400 kg starts from rest at point A and passes the point B with a speed of \( 3 \mathrm{~m} / \mathrm{s} \). If the distance from A to B along the tracks is 20 m , how large is the average friction force retarding the motion of the car.
C. 5 ms D. 3.3 ms In the given diagram, the coach moves from position A to B to C to D . What is the coach's resulting displacement and distance of travel? A. 55 yards left and 90 yards B. 50 yards left and 95 yards C. 55 yards left and 95 yards D. 45 yards left and 95 yards
A 4-cylinder 4-stroke diesel engine running at 1500 rpm has maximum energy fluctuation per cycle \( \Delta \mathrm{E}=600 \mathrm{~J} \) (due to overlapping power strokes). Allowable \( \mathrm{C}_{8}=0.006 \). Determine required inertia.
A body moves from point \( P \) to point \( Q \) with a speed of \( 6 \mathrm{~ms}^{-1} \) along a straight line then from \( Q \) to \( P \) with a speed of \( 4 \mathrm{~ms}^{-1} \). What is its average speed over the entire trip? A. 4 ms (B) 4.8 ms C. 5 ms D) \( 5.5 \mathrm{~ms}^{-1} \)
The velocity of aeroplane B is considered negative, as it flies in the oppo that of aeroplane \( A \). CRTICAL THINKING? 1. What is the displacement of the moving body, shown below? A. 6 m B. 7 m C. 8 m D. 23 m 2. A body moves from point \( P \) to point \( Q \) with a speed 0
9. At 19 pesos per kW -hr, how much does it cost to operate a 10.0 hp motor in 8 hours
An engine currently uses a flywheel with \( \mathrm{I}=2.4 \mathrm{kgm}^{2} \) at 900 rpm and operates satisfactorily with \( \mathrm{C}_{s}=0.012 \). For improved NVH you need \( \mathrm{C}_{s}=0.008 \) at the same speed and same \( \triangle \mathrm{E} \). Find the new required inertia leasā¦
Bees often work together for the greater good of the hive. Sometimes they can get excess charge on them. Four pairs of bees, which can be represented as identical, conducting spheres, bump into each other in the hive. Rank the bees in the order of the size of the magnitude of charge transfer.ā¦
Isotope \( { }_{92}^{238} \) X? A. 92. B. 146. C. 238. D. Which of the following is most strongly deflected by a magnetic field? A. gamma rays. B. alpha particles. C. beta-particles. D. X-rays. [1986/50] 4. Isotopes are nuclei which have \( \mathbf{A} \). The same number of neutrons andā¦
(c) A mile is 1760 yards or 1609 metres or 5280 feet, and a fortnight is 14 days. In 2022, the Zambian track and field sprinter, Muzala Samukonga, won a gold medal at the 2022 Birmingham Commonwealth Games, when he represented Zambia in the 400 metres. His average speed was 8.96 metres perā¦
An engine currently uses a flywheel with \( \mathrm{I}=2.4 \mathrm{kgm}^{2} \) at 900 rpm and operates satisfactorily with \( \mathrm{C}_{8}=0.012 \). For improved NVH you need \( \mathrm{C}_{9}=0.008 \) at the same speed and same \( \Delta \mathrm{E} \). Find the new required inertia \(ā¦
(a) The battery in a laptop computer is connected to a battery charger for 20 minutes. The potential difference (p.d.) across the battery is 14 V . The current in the battery is 1.8 A . Calculate the energy transferred to the battery in 20 minutes. energy transferred = \( \qquad \) J [4] (b)ā¦
6. Can the speed of a particle ever be negative? If so, give an example; if not, explain why.
Which of the following levers has the greatest mechanica advantage? A. B. D. (1995:
6 A student observes waves on the surface of water in a tank. The waves all have the same wavelength. (a) The student measures the wavelength of the waves by measuring the distance between one peak and the next peak. Describe a more accurate method for determining the wavelength. \( \qquadā¦
Š”. \( 70 \pi \) D. \( 140 \pi \) (1994:Q12) 18. Which of the following graphs correctly represents the relationship between the load and the velocity ratio of a machine? B. (1994:Q13) 19. Which of the following levers has the greatest mechanical
56. A point mass \( A \) with mass \( m \) moves at a constant speed \( v \) on a horizontal frictionless plane and collides with another point mass \( \mathbf{B} \) with mass \( \mathbf{2 m} \) that is at rest. The collision is elastic. After the collision, point mass \( A \) is moving with aā¦
a) The system in Fig 7.1 is in equilibrium with the strings in the centre exactly in the hrizontal. Find (a) tenning \( l, T_{2}, T_{3} \) and (b) angle \( \theta \), (10 marks)
56. A point mass \( A \) with mass \( m \) moves at a constant speed \( v \) on a horizontal frictionless plane and collides with another point mass \( \mathbf{B} \) with mass \( \mathbf{2 m} \) that is at rest. The collision is elastic. After the collision, point mass \( A \) is moving with aā¦
a) The system in Fig 7.1 is in equilibrium with the strings in the centre exactly in the hrizontal. Find (a) tenning \( l, T_{2}, T_{3} \) and (b) angle \( \theta \), (10 marks)
1. Differentiate the following with respect to \( x \) QUESTIONS (i) \( y=\sqrt{\frac{x-1}{x+1}} \) (ii) \( y=(x-1) \sqrt{x^{2}-2 x+2} y=\sqrt{1+\sqrt{x}} \) (iii) \( y=\left(x^{2}-3\right)^{\prime}\left(5 x^{3}+2\right)^{\prime} \)
power did the crane use? 5. The power produced by an electric motor is 500w. How long will it take the motor to do \( 1,000 \mathrm{~J} \) of work? 6. How much work is done by a babysitter who uses 8000 W of power to lift a baby in 2 s ?
8 Fig. 8.1 shows a metal rod suspended in the magnetic field produced by a pair of permanent magnets. The metal rod is connected to a cell and there is a current in the metal rod. Fig. 8.1 (a) State the direction of the force on the metal rod due to the current. Explain your answer. directionā¦
ANSWER: a) \( \mathrm{T}_{\mathrm{BD}}=\mathrm{T}_{\mathrm{BE}}=5.24 \mathrm{kN} \), b) \( \mathrm{R}_{\mathrm{A}}=5.72 \mathrm{i}-2.67 \mathrm{j} \mathrm{kN} \)
QUESTION 1a A load of lumber weighing \( W=25 \mathrm{kN} \) is being raised by a mobile crane. The weight of the boom \( A B C \) and the combined weight of the truck and driver are as shown. Determine the reaction at each of the two \( (a) \) front wheels \( H \), (b) rear wheels \( K \).
QUESTION 2 a) Two metal spheres on insulated stands carry charges of \( +4 \mu \mathrm{C} \) and \( -6 \mu \mathrm{C} \) respectively. The spheres are arranged with their centres 50 cm apait, as shown in Figure 2,1 Figure 2.1 i) Define an electric tield at a paith in space [2] Phint 3 wis
Which of the following is NOT a fundamental S.I. unit? A. Metre B. Ampere C. Kelvin D. Second E. Radian (1985:Q1) 10. Which of the following statements are true about the spring balance and the chemical balance? 1. Both are used to measure the mass of an object. II. Either of them may be usedā¦
Situation 12: A parabolic cable carries a horizontally distributed load of \( 5 \mathrm{kN} / \mathrm{m} \). The horizontal span between supports \( A \) and \( B \) is 60 m with \( B \) is higher than \( A \) by 10 m . The cable sag a distance of 5 m below the imaginary line joining \( A B \)ā¦
Situation 20. A \( 50-\mathrm{kg} \) crate is subjected to an incline force P as shown in the figure. The coefficient of static and kinetic friction between the crate and the ground are \( \mu_{\mathrm{s}}=0.3 \) and \( \mu_{\mathrm{k}}=0.2 \). 43. Determine the frictional force developedā¦
7. Which of the following statements about a spring balance and/or a chemical balance is/are correct? I. The chemical balance operates on the principle of moments. II. The spring balance operates on Hooke's law. III. Either may be used to measure the weight of a substance. IV. The reading of aā¦
Exercise 8.2 Consider two identical particles of spin \( \frac{1}{2} \) that are confined in a cubical box of side \( L \). Find the energy and the wave function of this system in the case of no interaction between the particles.
e) Show that the orbital:speed of the earth is \( v=\sqrt{\frac{G M}{r}} \), Where \( r \) the sepatation between the earth and sun, \( G \) is the universal: gravitational constant, and M, is mass of the sun. [3]
d) An object of mass of 200 g is released at point \( \mathbf{A} \) and moves along a frictionless track (AC). The vertical height of point \( \mathbf{A} \) above point \( \mathbf{X} \) on the ground is 0.8 m , as shown in Fig. 4.1. Figure 4.1 i) Calculate the gravitational potential energy ofā¦
Instructions: - Use A4 size bond paper. - Copy and answer the following prublems/ questions - Ansmers are strictly hand written', Note questions can either be hand written or \( 1 y p e \) written). - Fur problem subing, show your pertinent anc clear solution. - Dhanere proper margin - Deadlineā¦
1 bile is \( 45 \mathrm{t}= \) 11 A dishoned pensen mode 2001 of waler having a density of \( 1000 \mathrm{~kg} / \mathrm{m}^{3} \) with 1 the of mik kathas density of \( 1.020 \mathrm{~g} / \mathrm{cm}^{3} \) in order to make a bast profit. Calculate the density of this mixture in \( 1ā¦
4. A rectangular metal block with sides 1.5 m by 1.2 m by 1.0 m rests on a horizontal surface. If the density of the metal is \( 7000 \mathrm{~kg} / \mathrm{m}^{3} \), calculate the maximum and minimum pressure that the block can exert on the surface. (Take the weight of 1 kg mass to 10 N ).
PREMIER 11 - toy with two light bulbs. These are controlled by a mwitch. how the thulb blew, the other bulb did not light up when the switch was closed. Btate The type connected in the circuit. [1] wibe were connect, in a series arrangement the circuit Sumy changed to another circuit in theā¦
QUESTION FOUR (a) A bullet of mass 15 g and travelling at a speed of \( 600 \mathrm{~m} / \mathrm{s} \) strikes a block of mass 3 kg which is suspended by a string of length 4 m . The bullet goes through the block in a very short time and the centre of gravity of the block is found to rise aā¦
Prefiner PREMER 37 Peter has a flying bird foy. When he turns the handle, the rubter band becorres twisted ared the plastic wings move up and down as shown in Dingram 1. Disgram 1 Peter turned the handle 50 times and threw the toy into the air. The toy fiew from A to B, then flew at theā¦
36 Kamar set up the apporaturs as shown. AB and CD are RJent on the fixed metal nail. (a) When he closed the switch, the hammer struck the bell repeatedly to give a continuous [2] ting ... ting ... ting" sound. Explain how the sound was produced. \( \qquad \) \( \qquad \) \( \qquad \) \(ā¦
9. At 19 pesos per \( \mathrm{kW}-\mathrm{hr} \), how much does it cost to operate a 10.0 hp motor in 8 hours
8. If a man has an average useful power of 40.0 Watts, what minimum time would it take him to lift fifty \( 10-\mathrm{kg} \) boxes to a height of 2.00 m ?
Example 3: How is the kinetic energy of a moving body affected if its: (a) mass is doubled? (b) velocity is doubled?
A Boomerang has mass \( m \) surface area \( A \), radius of curvature of lower surface \( =r \) and it is moving with velocity \( v \) in air of density \( \rho \). The resistive force on it should be: A \( \frac{2 \rho v A}{r^{2}} \log \left(\frac{\rho m}{\pi A r}\right) \) C \[ 2 \rho v^{2}ā¦
3. Compare the work done and power of Pallavi and Parul when hoth of them can lift the same bag of 20 kg to a height of 50 cm in 2 and 5 seconds, respectively. (Take \( y=10 \mathrm{~ms}^{2} \) ) [Ans. Work is same; \( \mathrm{P}_{1}: \mathrm{P}_{2}=5: 2 \) ]
Learning Goal: To understand how to use the relative position and velocity equations to find the linear and angular velocity of members in an assembly. A piston is driven by a crankshaft as shown. The crank arm (member AB) has a length of $r_1 = 0.26$ in and the connecting rod (member BC) has aā¦
Review Consider the disk in Figure 1. The angular acceleration of the disk is defined by $$ \alpha = (3t^2 + 20) \text{ rad/s}^2 $$ where t is in seconds. The disk is originally rotating at $$ \omega_0 = 20 \text{ rad/s} $$. Part A Determine the magnitude of the velocity of point A on the diskā¦
HW 7 - Chapter 25 Capacitance Begin Date: 7/14/2025 12:01:00 AM Due Date: 8/14/2025 11:59:00 PM End Date: 9/10/2025 11:59:00 PM Problem 3: (8% of Assignment Value) Two parallel plates have charges +Q and -Q, as shown. The magnitude of the charge is 44.7 nC, the area of each plate is A = 0.0139ā¦
Learning Goal: To use the kinematic relationships for rotation about a fixed axis to determine the number of revolutions for an accelerating pulley. The two pulleys shown in (Figure 1) are connected by a belt, which is assumed to not slip with radii $r_A = 28$ mm and $r_B = 56$ mm. Pulley Aā¦
2. Use for Questions 2 - 9: Consider the lens system below, consisting of a positive and a negative lens with an iris in between them. All distances below are listed in mm. $$f_1 = 60$$ $$D_1 = 100$$ $$D_2 = 40$$ $$f_3 = -75$$ $$D_3 = 40$$ 10 20 Using the paraxial ray-tracing methods, find theā¦
i. What is Ā«flight schedulingĀ» ? ii. What does an Ā«Aircraft DispatcherĀ» do? iii. Analysis of the selected sample Ā«flight scheduleĀ». Command Flight Planner File Waypoint Map Route Airspace Window Help FR Mode Flight Plan WAYPOINT SELECTION Seg. Detail Code State Waypoint Name Fuel Tanks YSSY NSWā¦
b 10 kN 30Ā° 150 mm 30Ā° 10 kN 150 mm a 200 mm 100 mm 50 mm 100 mm Figure B1: (b) A curved bar used in fabricating an aerospace component. (b) Figure B1b shows a curved bar; characterised with a rectangular cross section; which is used in fabricating an aerospace component. In the aerospaceā¦
Question 1: Choose the correct answer for each of the following questions. [10 Points] 1. The stress-strain relationship in elastic zone is called Hooke's law and can be represented by the following relation (a) $\sigma = E/\epsilon$ (b) $\sigma = \epsilon/E$ (c) $\sigma = E\epsilon$ (d)ā¦
Homework-1 Question-1 Evaluate the steady-state, one-dimensional heat conduction through a composite plane wall composed of four layers (including an insulation layer), and determine the heat transfer rate and interface temperatures using the thermal resistance circuit analogy. Systemā¦
Background A state of plane stress is defined by the stress components $\sigma_x$, $\sigma_y$, and $\tau_{xy}$ associated with the element as shown in Figure 1 (a). Figure 1 The stress components $\sigma_{x'}$, $\sigma_{y'}$, and $\tau_{x'y'}$ associated with the element after it has rotatedā¦
The figure shows data for a portion of the ducting in a ventilation system operating at steady state. The ducts are well insulated and the pressure is very nearly 1 atm throughout. The volumetric flow rate entering at state 2 is $AV_2 = 2800 ft^3/min$. Assume the ideal gas model for air withā¦
Part A If you rub a balloon on your sweater and then press it to a wall, it will often stick there. Why does this happen? Rubbing the balloon charges it electrostatically, and this charge on the balloon induces an opposite charge on the wall. The attraction between the induced charge and theā¦
Question 1: Bending stress Consider a simply supported beam of length $L = 10$ m, subjected to a vertical downward force $P$ applied at the mid-span and a uniformly distributed load $w = 1$ kN/m along the entire beam, as shown in Figure Q1 (a). The beam has the square hollow cross section, andā¦
Two health psychology researchers, Marie from North America and Zhiyong from China, are studying rates of death from drug overdoses. Their research shows that deaths from drug overdoses have increased significantly in Culture X over the past 10 years. Marie and Zhiyong are trying to predictā¦
1. Three identical bulbs are now connected as shown. Switch S is initially in the open (solid line) position. a. Assume all resistances are $6\Omega$ and the EMF is 24 Volts. Determine the equivalent resistance when the switch is in the open position. b. Determine the current through $B_3$ā¦
Q2 You are pulling on a block along a tilted road [on inclined with a force] P = 7N @ an angel B = 10Ā° w.r.t vertical You know: M = 50kg ; $\theta$ = 25 and $\mu_s = 0.9$ $f_N = 5.73 - 482.6$ $f_N = 476.9$ $f_{fs} = \mu_s * f_N$ $f_{fs} = 0.9 * 476.9$ $f_{fs} = 429.1$ It will not moveā¦
A 0.750-m-long metal bar is pulled to the right at a steady 6.00 m/s perpendicular to a uniform, 0.650 T magnetic field. The bar rides on parallel metal rails connected through a 25.0 Ī© resistor (Figure 1), so the apparatus makes a complete circuit. Ignore the resistance of the bar and theā¦
1) Discuss (don't just list) three possible sources of error in this experiment. Which of these error sources would you expect to be the most significant? Why? Write out your answer in a clear and well supported paragraph. erase this and type in your answer 2) Given the sources of error youā¦
sorry, I'm a pisces Work is done by the gas during any change to the gas. Question 4 2 pts What is wrong with the following statements? A fixed quantity of ideal gas at constant volume is warmed from a temperature of 20Ā°C to 40Ā°C. The pressure in the gas doubles during this process because theā¦
For the combination of capacitors shown in the figure; 5.0 ĀµF 1.5 ĀµF 8.0 ĀµF 3.5 ĀµF 0.75 ĀµF 15 ĀµF What is the equivalent capacitance, in microFarads, of the left-most pair of capacitors? 2.06 What is the equivalent capacitance, in microFarads, of the pair of capacitors in the lower, right cornerā¦
2. Consider isentropic flow of a perfect gas in a variable area channel (convergent divergent channel). Starting from the equations of state, the first and second law of thermodynamics, equation of continuity, and the equation of conservation of energy, (a) Show that $$ \frac{\delta A}{A} =ā¦
(03/27/203) (Elastic Collisions) Two identical carts are placed on a frictionless track. Cart 1 is initially at rest while Cart 2 is moving to the right towards Cart 1. The two carts collide elastically. After the collision, which of the following is true? I. Carts 1 and 2 are both atā¦
The figure below shows a schematic drawing of a vehicular jack that is to be designed to support a weight of $W = 3000 N$. The opposite-handed threads on the two ends of the screw are cut to allow the link angle $\theta$ to vary from $15^{\circ}$ to $70^{\circ}$. The links are to be machinedā¦
3. DETAILS MY NOTES ASK YOUR TEACHER A 12.0 V battery is connected into a series circuit containing a 14.0 $\Omega$ resistor and a 1.70 H inductor. (a) In what time interval (in s) will the current reach 90.0% of its final value? s (b) In what time interval (in s) will the current reach 50.0%ā¦
The length of nylon rope from which a mountain climber is suspended has a force constant of $1.41 \times 10^4$ N/m. What is the frequency at which he bounces, given his mass plus and the mass of his equipment are 74.0 kg? 2.20 Hz Computer's answer now shown above. You are correct. Your receiptā¦
You're the operator of a 15,000 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 6.00 MW of power with a power factor of 0.870. Part A What is the rms current leaving the station? Express your answer with the appropriate units. Viewā¦
A two-dimensional rectangular plate is subjected to prescribed boundary conditions, $T_1 = 50^\circ C$, $T_2 = 140^\circ C$. The temperature distribution equation, derived by applying separation of variable methods to a two-dimensional conduction problem for a thin rectangular plate or longā¦
Save & Close Submit for Grading eed a hint coil with a large current will cause arger magnetic field than a coil with a small current Reset Score: 0/1 6. Identify the statements that accurately describe a relationship between changes in a current and changes in a magnetic field. elect all thatā¦
Member AB is rotating at $\omega_{AB} = 9$ rad/s. (Figure 1) Part A Determine the angular velocity of the member BPD. Express your answer in radians per second to three significant figures. Assume the positive direction is counterclockwise. View Available Hint(s) $\omega_{BPD} = $ rad/s Submitā¦
Determine the equivalent state of stress if an element is oriented 30Ā° clockwise from the element shown. Take $$ \tau_{xy} = 2 \text{ ksi} $$. (Figure 1) Figure 1 of 1 9 ksi $$ \tau_{xy} $$ 6 ksi Part A Find $$ \sigma_{x'} $$. Express your answer in kilopounds per square inch to threeā¦
$$f_1 = 60$$ $$D_1 = 100$$ $$D_2 = 40$$ $$f_3 = -75$$ $$D_3 = 40$$ 10 20 For an object at 400 mm to the left of lens 1. Make an accurate sketch of the system including at least the marginal and chief rays and several other rays that seem relevant to you. What is the diameter of the field ofā¦
The energy equation for a control volume is given as $$ \frac{\partial}{\partial t} \int_{CV} \rho e d \mathcal{V} + \sum_{out} \left( u + \frac{V^2}{2} + gz \right) \dot{m}_{out} - \sum_{in} \left( u + \frac{V^2}{2} + gz \right) \dot{m}_{in} = \dot{Q}_{net} + \dot{W}_{net} $$ where e is theā¦
Problem 5: (13% of Assignment Value) This problem compares the energy output and heat transfer to the environment by two different types of nuclear power stationsāone with the normal efficiency of 33 %, and another with an improved efficiency of 44 %. Suppose both have the same heat transferā¦
Your answer is incorrect. A long bar of rectangular cross section, 0.2 m x 0.3 m on a side and having a thermal conductivity of 15 W/m-K, is subjected to the boundary conditions shown. Uniform temperature, T = 200Ā°C Insulated Uniform temperature, T = 200Ā°C Two of the sides are maintained at aā¦
*Prob. 7.3-14. A 10-ft-long W8 $\times$ 15 wide-flange steel beam AB is supported by a roller support at end A and by a 6-ft-long rod BC of cross-sectional area A = 1.0 in$^2$. The beam supports a uniformly distributed load $w_0$ = 1 kip/ft, as shown in Fig. P7.3-14. (a) Neglecting the weightā¦
II. Problems 2. Block A has a mass of 500 kg and is supported by the rope structure shown. The angle $\alpha = 55^\circ$, and the ropes are connected by knots at the intersections (the ropes are distinct). a. (12 points) Draw a FBD of point B and point D. b. (15 points) Knowing the system is inā¦
Question 2 3 pts In a semi-conductor, one can control the density of charge carriers, n (number of mobile charges per volume), by varying the temperature. Let the charge of each charge carrier be e and the drift speed be $v_d$. The cross sectional area of your semi-conductor resistor is A.ā¦
12.9 According to its directional distribution, solar radiation incident on the earth's surface may be divided into two components. The direct component consists of parallel rays incident at a fixed zenith angle $\theta$, while the diffuse component consists of radiation that may beā¦
The strain components $$ \epsilon_x $$, $$ \epsilon_y $$, and $$ \gamma_{xy} $$ are given for a point in a body subjected to plane strain. Determine the strain components $$ \epsilon_n $$, $$ \epsilon_t $$, and $$ \gamma_{nt} $$ at the point if the n-t axes are rotated with respect to the x-yā¦
can never accelerate the object. O can never be greater than the normal force on it. O can never be greater than the kinetic friction force on it un Question 3 A crate travels through a factory on a straight, horizontal conveyor belt at a constant speed. If air resistance is negligible, whatā¦
The strain components $$ \epsilon_x $$, $$ \epsilon_y $$, and $$ \gamma_{xy} $$ are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle $$ \theta_p $$, theā¦
Two 0.56-m-long conducting rods are rotating at the same speed in opposite directions, and both are perpendicular to a 5.8-T magnetic field. As the drawing shows, the ends of these rods come to within 1.0 mm of each other as they rotate. Moreover, the fixed ends about which the rods areā¦
Problem 6.8: A collar C of weight W slides without friction on a horizontal rod between springs A and B. The spring constants are $$k_A = 10 \text{ lb/in}$$ and $$k_B = 15 \text{ lb/in}$$, and lengths $$L_1 = 3 \text{ in}$$ and $$L_2 = 30 \text{ in}$$. The collar is pushed to the left untilā¦
last submission is used for your score. DETAILS MY NOTES ASK YOUR A long solenoid with $1.90 \times 10^3$ turns per meter and radius 2.00 cm carries an oscillating current $I = 8.00 \sin 90\pi t$, where $I$ is in amperes and $t$ is in second (a) What is the electric field induced at a radius $rā¦
QUESTION 25 Which of the following statements is FALSE? A. Kinematics is the study of the effects of motion, while kinetics is the study of the causes of motion. B. The radius of gyration for a mass of uniform thickness is identical to the radius of gyration for a planar area of the sameā¦
The frame supports the distributed load shown with a maximum intensity of $w_0 = 4$ kN/m. Determine the state of stress acting at point $E$. (Figure 1) Figure 1 of 1 Part A Determine the normal stress at point $E$. Express your answer to three significant figures and include the appropriateā¦
The air flow to a four cylinder 4-stroke oil engine is measured by means of a 4.5 cm diameter orifice, having $C_d = 0.65$. During a test the following data was recorded: Bore = 10 cm, Stroke = 15 cm, Engine speed = 1000 RPM, Brake torque = 135 Nm, Fuel consumption = 5.0 kg/hour, $CV_{fuel}$ =ā¦
Sample Chegg Question Subject: Request for Brayton Cycle T-s and Box Diagrams Body: HI, I need T-s and schematic diagrams for an aviation gas turbine (Brayton cycle) with the following parameters: 1. Cycle Details: Fluid: Air ($\gamma=1.4$, $c_p=1.005$ kJ/kg-K) Inlet: $P_1=1$ bar, $T_1=300$ā¦
A sinusoidal wave moving along a string is shown twice in the figure, as crest A travels in the positive direction of an x axis by distance d = 6.40 cm in 4.10 ms. The tick marks along the axis are separated by 10.0 cm; height H = 6.80 mm. If the wave equation is of the form $y(x, t) = y_mā¦
Pause the simulation. Use the measuring tape to find the distance between two bright green bands (from the left side of a bright band to the left side of the next bright band). The result of your measurement will depend on how you use the tape (orient the tape perpendicular to the light frontā¦
Question 1(a): [10 marks] A current versus time graph is given in Figure 1-a. Sketch the charge versus time graph (Note: there is no charge at time zero). You can use the blank gridded area below to plot your graph. Show all your working steps. currentā¦
1. Steel balls that are 18 mm in diameter are annealed by heating to 1200 K and then slowly cooled to 400 K in an air environment of $T_{\infty} = 350$ K and $h_o = 20$ W/m$^2 \cdot$K. The properties of steel are $k = 60$ W/m$\cdot$K, $\rho = 7800$ kg/m$^3$ and $c = 600$ J/kg$\cdot$K. i.ā¦
Problem 1: A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two steel posts (see figure below). The copper bar has length 3L, cross-sectional area $A_c$, and Young's modulus $E_c$. Each steel post has length L, cross-sectional area $A_s$, and Young'sā¦
Problem 10: A 4-mm-diameter and 10-cm-long aluminum fin ($$k = 240 W/m \cdot ^\circ C$$) is attached to a surface at $$T_b = 250^\circ C$$ and is exposed to air at ambient temperature $$T_\infty = 20^\circ C$$. The heat transfer coefficient is $$h = 12 W/m^2 \cdot ^\circ C$$. Assuming adiabaticā¦
4. The pendulum consists of a 2-kg disk, and slender rods AB and DC which have a mass per unit length of 2 kg>m. Determine the length L of DC so that the center of mass is at the bearing O. What is the moment of inertia of this assembly about an axis perpendicular to the page and passingā¦
Q5: Fig. below shows two vertical walls supporting a uniform horizontal platform in equilibrium. platform wall X weight of platform (i) The net force acting on the platform is zero. State another condition that applies to this platform. (2) (ii) The walls exert upward forces on the platform. Anā¦
5. Guitar strings A guitar has strings with free-standing length 64 cm. The thickest string has fundamental frequency 82 Hz corresponding to note $$E_2$$ and mass density 6.8 g/m. a) What is the tension in the string. b) The thinnest string has frequency two octaves higher, corresponding toā¦
4. Draw the deflection curve where $w_1 = 2kN/m$ and the beam is 9-m-long. Indicate point 0 m, 3 m, 6 m and 9 m from the left. Also, indicate point where the slope of the curve is 0 and point where maximum deflection occurs. Cantilever, Uniform Distributed Load Deflection: $\delta =ā¦
What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? ($$R = 6.80 \Omega$$, $$\Delta V = 5.20 V$$) ammeter $$I = 0.595$$ Apply Kirchhoff's rules to generate a system of equations for the currents in the various branches of the circuit. A voltmeter $$Vā¦
Problem 7: During air cooling of steel balls, the convection heat transfer coefficient is determined experimentally as a function of air velocity to be $h = 17.9V^{0.54}$ for $0.5 < V < 2$ m/s, where $h$ and $V$ are in W/m$^2 \cdot$K and m/s, respectively. Consider a 24-mm-diameter steel ballā¦
The figure(Figure 1) shows voltage and current graphs for a series $RLC$ circuit. Part A What is the resistance $R$? Express your answer in ohms. $R = \Omega$ Submit Previous Answers Request Answer Incorrect; Try Again Part B If $L = 220 \mu H$, what is the resonance frequency in Hz? Expressā¦
Two parts of a machine are held together by bolts, each of which carries a static tensile load of 3100 N. Assume Sys = .58Sy 3.1 kN a. What size of class 5.8 coarse-thread metric bolt is required using a safety factor of 4. b. What is the least number of threads that must be engaged for theā¦
Suppose that for the production function $q = f(L, K)$, if $L = 5$ and $K = 10$, then $q = 100$. Which of the following statements is true? It is possible that $L = 6$ and $K = 10$ could yield $q = 90$. It is possible that $L = 5$ and $K = 11$ also yields $q = 100$. It is possible that $L =ā¦
What does each term in equation [1] represent? What does the term Normal mean in the context of dealing with an optical surface? Describe how light behaves in relation to the Normal when travelling between two interfaces in the following cases: From a less dense to a denser medium From a denserā¦
An ideal wind-turbine, 12 m in diameter, operates at a theoretical efficiency ($$\eta_{th}$$) (equation given below) of 50% in $$u_2$$ = 14 m/s wind. If the air density is 1.2 kg/$$m^3$$ and $$\eta_{th} = \frac{(u_1 + u_4)(u_1^2 - u_4^2)}{2u_1^3}$$ $$u_2 = u_3 = (u_1 + u_4) / 2$$ $$P_1 = P_4ā¦
Problem 8: The two-layer composite wall is constructed of materials A and B, having thermal conductivities $k_A = 92 W/m \cdot K$ and $k_B = 36 W/m \cdot K$ and is exposed to convection environments as given in the figure below. Assuming steady state conditions calculate, (a) the heat transferā¦
8. Kinetic energy refers to the energy of an object in motion. The amount of energy an object has (K) is related to the mass of the object (m, measured in kg), and its velocity (v, measured in m/s). The formula used to calculate kinetic energy is $K = \frac{1}{2}mv^2$. (9 marks) a. Solve for Kā¦
Q1: Define and give an example of a material that is: (a). ductile (b). plastic (c). elastic (d). brittle (e). tough. (10) Q2: Brass, an alloy of copper and zinc, consists of 70% by volume of copper and 30% by volume of zinc. density of copper = $8.9 \times 10^3$ kg $m^{-3}$ density of zinc =ā¦
Problem #4 An A36 Steel (E = 200 GPa) column built into the ground as shown in the Figure 4 has length, L = 2.2 m, and is under axial compressive load P. The dimensions of the cross-section are b = 210 mm and d = 280 mm. 1) Determine the critical load to buckle the column. 2) If the yieldā¦
* Design a hydraulic circuit to extend three parallel cylinders. * Each cylinder faces an external load of 1000 lb. * The angles between the cylinders and the horizontal are: * First cylinder: 0Ā° * Second cylinder: 45Ā° * Third cylinder: 90Ā° * The directional control valve actuation forā¦
Problem 9: Asbestos [$k = 0.18 W/m \cdot Ā°C$] is used as insulation material for a 5.0- cm-diameter pipe and is exposed to room air at $25Ā°C$ with [$h = 3.0 W/m^2 \cdot Ā°C$]. The surface temperature of the pipe is $200Ā°C$. (a) Calculate the critical radius of insulation. (b) Calculate the heatā¦
A stretched string has a mass per unit length of 4.20 g/cm and a tension of 24.8 N. A sinusoidal wave on this string has an amplitude of 0.159 mm and a frequency of 82.1 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x,t) = $$y_m$$ sin(kx +ā¦
1. Choose a sample material (gold, lead, foam, etc.) and drop it into the water. Repeat for all sample materials. A) Which materials sink in water? (0.5 pt) Gold B) Which materials float in water? (0.5 pt) Foam 2. Choose a material that sinks in water. Observe the water level as the materialā¦
Required information The machine part $ABC$ is supported by a frictionless hinge at $B$ and a $10^\circ$ wedge at $C$. The coefficient of static friction is $0.20$ at both surfaces of the wedge. The force $P$ is applied on the wedge to push it to the left. Given: $F = 600$ N. F A 200ā¦
Problem 2. Finite Wing Theory and Wing Loading (25 pts) A wing of aspect ratio equal to 6, having a lift coefficient of 0.8 and a drag coefficient of 0.1 is to be studied. The span is $2s = 8$ m and $z$ is the distance from the center of the span. a) Calculate the values of the coefficientsā¦
Judge the following sentence according to the criteria given below: Oil spills in the ocean are not considered harmful BECAUSE crude oil in seawater at concentrations of 0.7 parts per billion kills or damages certain fish eggs. The assertion and the reason are both correct, and the reason isā¦
Problem 4: (6% of Assignment Value) Fiber optics are an important part of our modern internet. In these fibers, two different glasses are used to confine the light by total internal reflection at the critical angle for the interface between the core ($n_{core} = 1.485$) and the claddingā¦
1. The wheel consists of a 5 kg slender ring with radius of 0.5 m and four, 2 kg rods (each 0.5 m long). What is the mass moment of inertia around the wheel's center of gravity? a. 1.92 kg-mĀ² b. 0.79 kg-mĀ² c. 0.625 kg-mĀ² d. 2.96 kg-mĀ² KNOWN: 1 ring = 5 kg r_s = 0.5 m 4 rods = 2 kg each r_r =ā¦
4 $C = \frac{\epsilon_0 A}{d}$ $\epsilon_0 = 8.85 \times 10^{-12}$ $L = 12 cm \rightarrow 0.12 m$ a) $d = 0.5 mm \rightarrow 0.0005 m$ $A = L^2 = (0.12 m)^2 = 0.0144 m^2$ $C = \frac{(8.85 \times 10^{-12})(0.0144)}{0.0005}$ $C = 2.55 \times 10^{-10} F$ $Q = CV$ b) $Q = 2.55 \times 10^{-10}ā¦
Problem #1 For the given state of stress as shown in Figure 1, determine the following terms by both Analytical Method (Equations) and Graphical Method (Mohr Circle): 1) The normal stress and shear stress exerted on the oblique face of the shaded triangular element with an angle $\theta =ā¦
fā = 60 Dā = 100 Dā = 40 fā = -75 Dā = 40 10 20 What is the diameter of the field of view in image space? Express your answer in mm with three significant figures. Enter answer here What is the angular field of view in image space? Express your answer in radians with three significant figures.ā¦
Two buildings near each other in an earthquake experience very different levels of damage. This could be explained by: O one has a steel structural framework, the other is made of reinforced concrete O they are of different heights, so one sways more than the other O the make up of the groundā¦
Q.52 In the structure shown in the figure, bars AB and BC are made of identical material and have circular cross-sections of 10 mm radii. The yield stress of the material under uniaxial tension is 280 MPa. Using the von Mises yield criterion, the maximum load along the z-directionā¦
DETAILS A long solenoid with $1.90 \times 10^3$ turns per meter and radius 2.00 cm carries an oscillating current $I = 8.00 \sin 90\pi t$, where (a) What is the electric field induced at a radius $r = 1.00$ cm from the axis of the solenoid? (Use the following as millivolts/meter and t beā¦
In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right at a constant speed. The resistor R = 5.00 $\Omega$, the distance between the rails is $\ell$ = 1.20 m, and a uniform 3.10 T magnetic field is directed into theā¦
A W10 x 39 rolled-steal beam supports a load P as shown. Knowing that P = 50 kips, a = 20 in, and $\sigma_{all}$ = 30 ksi, determine (a) the maximum value of the normal stress $\sigma_m$ in the beam, (b) the maximum value of the principal stress $\sigma_{max}$ at the junction of the flange andā¦
Judge the following sentence according to the criteria given below: The Bay of Fundy is a prime target for tidal power BECAUSE it has the largest tidal range in the world. The assertion and the reason are both correct, and the reason is valid. The assertion and the reason are both correct, butā¦
51. (II) In the circuit shown in Fig. 26ā68, switch S is closed at time $t = 0$. (a) After the capacitor is fully charged, what is the voltage across it? How much charge is on it? (b) Switch S is now opened. How long does it now take for the capacitor to discharge until it has only 2.0% of itsā¦
The figure gives the position of a 45.0 g block oscillating in SHM on the end of a spring. The horizontal axis scale is set by $t_s = 24.0$ ms. What are (a) the maximum kinetic energy of the block and (b) the number of times per second that maximum is reached? (Hint: Measuring a slope willā¦
The thin rectangular plate is uniformly deformed such that $$ \epsilon_x = 260 \mu\epsilon, \epsilon_y = -740 \mu\epsilon, $$ and $$ \gamma_{xy} = 820 \mu rad. $$ If $$ a = 20 mm, $$ determine (a) the normal strain $$ \epsilon_{n} $$ in the plate. (b) the normal strain $$ \epsilon_{t} $$ in theā¦
5. For the instant represented, car A is rounding the circular curve at a constant speed of 10 m/s, while car B is traveling with a speed of 20 m/s slowing down at the rate of 2.5 m/sĀ². a) Determine the magnitude of the velocity that car A appears to have to an observer in car B. b) Determineā¦
A 70-kg soldier on a secret mission has to parachute from an airplane over the desert. It takes 4.8 s for him to release his parachute after he jumps. Taking the mass of the parachute as 5 kg, estimate the force acting on the soldier as he releases the parachute. The diameter of the parachuteā¦
A composite bar made of two aluminium bars is firmly held between two yielding supports as shown above. An axial load of 200KN is applied at C at 50Ā°C. If there's a gap of 60mm between the points B and C of the bar, find the (i) stress in the bar. (ii) stress in bar AB. (iii) stress in barā¦
A 70-kg soldier on a secret mission has to parachute from an airplane over the desert. It takes 4.0 s for him to release his parachute after he jumps. Taking the mass of the parachute as 5 kg, estimate the force acting on the soldier as he releases the parachute. The diameter of the parachuteā¦
Required information A flat belt is used to transmit a couple from pulley A to pulley B. The radius of each pulley is 60 mm, and a force of magnitude $P = 940 N$ is applied as shown to the axle of pulley A. The coefficient of static friction is 0.35. 240 mm Determine the corresponding maximumā¦
Problem 5: Assume that three charges (q1, q2, and q3) are placed at the corners of an equilateral triangle with a side length of 1 cm, as shown in the figure below. (a) Calculate the magnitude of the net force acting on charge q2 due to the other two charges. (b) Draw a schematic diagramā¦
5. Radiation pressure The power of electromagnetic radiation from the Sun at the distance of the Earth is 1.3 kW/m$^2$. Assume a 100% reflective mirror of area 1 m$^2$ perpendicular to the propagation direction of the radiation. How large force is exerted on the mirror by the radiation? Howā¦
Suppose two batteries, with unequal emfs of 2.00 V and 3.00 V, are connected as shown in the figure. (Figure 1) Part A If each internal resistance is 0.38 $\Omega$ , and $R = 4.00\Omega$, what is the voltage across the resistor $R$? $V_R =$ V Submit Previous Answers Request Answer Incorrect;ā¦
A particular ride at an amusement park has a slide part, a water part, and a land part. The slide part is 200 feet long and it takes 2 seconds to slide down. The water part is 500 feet long and it takes 10 seconds for the passenger to ride through it. The land part is also 500 feet long and itā¦
Which of the following statements is NOT true? Branches are typically absent on the lower two-thirds of the tree trunks in the rain forest The structure of a rain forest includes four levels An area the size of South Carolina is cleared each year from rain forests globally Estimated rain forestā¦
elearn.southwest.tn.edu Chapter 12 - CHEM-2020-201 - Organic C... Ch. 17 Summary of Reactions - Organic Chemist... what fragments would produce a signal in the d... Question 3 (1 point) Listen Saved Which of the following fragments would produce a signal in the detector of a mass spectrometer?ā¦
PROBLEM 7.6 For the given state of stress, determine (a) the principal planes, (b) the principal stresses, (c) the orientation of the planes of maximum in-plane shearing stress, (d) the maximum in-plane shearing stress, and (e) the corresponding normal stress. 20 ksi 4 ksi 6 ksi $$\theta_p =ā¦
Learning Goal: To understand how to use the relative position and velocity equations to find the linear and angular velocity of members in an assembly. A piston is driven by a crankshaft as shown. The crank arm (member AB) has a length of $r_1 = 0.26$ in and the connecting rod (member BC) has aā¦
Review Consider the disk in Figure 1. The angular acceleration of the disk is defined by $$ \alpha = (3t^2 + 20) \text{ rad/s}^2 $$ where t is in seconds. The disk is originally rotating at $$ \omega_0 = 20 \text{ rad/s} $$. Part A Determine the magnitude of the velocity of point A on the diskā¦
HW 7 - Chapter 25 Capacitance Begin Date: 7/14/2025 12:01:00 AM Due Date: 8/14/2025 11:59:00 PM End Date: 9/10/2025 11:59:00 PM Problem 3: (8% of Assignment Value) Two parallel plates have charges +Q and -Q, as shown. The magnitude of the charge is 44.7 nC, the area of each plate is A = 0.0139ā¦
Learning Goal: To use the kinematic relationships for rotation about a fixed axis to determine the number of revolutions for an accelerating pulley. The two pulleys shown in (Figure 1) are connected by a belt, which is assumed to not slip with radii $r_A = 28$ mm and $r_B = 56$ mm. Pulley Aā¦
2. Use for Questions 2 - 9: Consider the lens system below, consisting of a positive and a negative lens with an iris in between them. All distances below are listed in mm. $$f_1 = 60$$ $$D_1 = 100$$ $$D_2 = 40$$ $$f_3 = -75$$ $$D_3 = 40$$ 10 20 Using the paraxial ray-tracing methods, find theā¦
i. What is Ā«flight schedulingĀ» ? ii. What does an Ā«Aircraft DispatcherĀ» do? iii. Analysis of the selected sample Ā«flight scheduleĀ». Command Flight Planner File Waypoint Map Route Airspace Window Help FR Mode Flight Plan WAYPOINT SELECTION Seg. Detail Code State Waypoint Name Fuel Tanks YSSY NSWā¦
b 10 kN 30Ā° 150 mm 30Ā° 10 kN 150 mm a 200 mm 100 mm 50 mm 100 mm Figure B1: (b) A curved bar used in fabricating an aerospace component. (b) Figure B1b shows a curved bar; characterised with a rectangular cross section; which is used in fabricating an aerospace component. In the aerospaceā¦
Question 1: Choose the correct answer for each of the following questions. [10 Points] 1. The stress-strain relationship in elastic zone is called Hooke's law and can be represented by the following relation (a) $\sigma = E/\epsilon$ (b) $\sigma = \epsilon/E$ (c) $\sigma = E\epsilon$ (d)ā¦
Homework-1 Question-1 Evaluate the steady-state, one-dimensional heat conduction through a composite plane wall composed of four layers (including an insulation layer), and determine the heat transfer rate and interface temperatures using the thermal resistance circuit analogy. Systemā¦
Background A state of plane stress is defined by the stress components $\sigma_x$, $\sigma_y$, and $\tau_{xy}$ associated with the element as shown in Figure 1 (a). Figure 1 The stress components $\sigma_{x'}$, $\sigma_{y'}$, and $\tau_{x'y'}$ associated with the element after it has rotatedā¦
The figure shows data for a portion of the ducting in a ventilation system operating at steady state. The ducts are well insulated and the pressure is very nearly 1 atm throughout. The volumetric flow rate entering at state 2 is $AV_2 = 2800 ft^3/min$. Assume the ideal gas model for air withā¦
Part A If you rub a balloon on your sweater and then press it to a wall, it will often stick there. Why does this happen? Rubbing the balloon charges it electrostatically, and this charge on the balloon induces an opposite charge on the wall. The attraction between the induced charge and theā¦
Question 1: Bending stress Consider a simply supported beam of length $L = 10$ m, subjected to a vertical downward force $P$ applied at the mid-span and a uniformly distributed load $w = 1$ kN/m along the entire beam, as shown in Figure Q1 (a). The beam has the square hollow cross section, andā¦
Two health psychology researchers, Marie from North America and Zhiyong from China, are studying rates of death from drug overdoses. Their research shows that deaths from drug overdoses have increased significantly in Culture X over the past 10 years. Marie and Zhiyong are trying to predictā¦
1. Three identical bulbs are now connected as shown. Switch S is initially in the open (solid line) position. a. Assume all resistances are $6\Omega$ and the EMF is 24 Volts. Determine the equivalent resistance when the switch is in the open position. b. Determine the current through $B_3$ā¦
Q2 You are pulling on a block along a tilted road [on inclined with a force] P = 7N @ an angel B = 10Ā° w.r.t vertical You know: M = 50kg ; $\theta$ = 25 and $\mu_s = 0.9$ $f_N = 5.73 - 482.6$ $f_N = 476.9$ $f_{fs} = \mu_s * f_N$ $f_{fs} = 0.9 * 476.9$ $f_{fs} = 429.1$ It will not moveā¦
A 0.750-m-long metal bar is pulled to the right at a steady 6.00 m/s perpendicular to a uniform, 0.650 T magnetic field. The bar rides on parallel metal rails connected through a 25.0 Ī© resistor (Figure 1), so the apparatus makes a complete circuit. Ignore the resistance of the bar and theā¦
1) Discuss (don't just list) three possible sources of error in this experiment. Which of these error sources would you expect to be the most significant? Why? Write out your answer in a clear and well supported paragraph. erase this and type in your answer 2) Given the sources of error youā¦
sorry, I'm a pisces Work is done by the gas during any change to the gas. Question 4 2 pts What is wrong with the following statements? A fixed quantity of ideal gas at constant volume is warmed from a temperature of 20Ā°C to 40Ā°C. The pressure in the gas doubles during this process because theā¦
For the combination of capacitors shown in the figure; 5.0 ĀµF 1.5 ĀµF 8.0 ĀµF 3.5 ĀµF 0.75 ĀµF 15 ĀµF What is the equivalent capacitance, in microFarads, of the left-most pair of capacitors? 2.06 What is the equivalent capacitance, in microFarads, of the pair of capacitors in the lower, right cornerā¦
2. Consider isentropic flow of a perfect gas in a variable area channel (convergent divergent channel). Starting from the equations of state, the first and second law of thermodynamics, equation of continuity, and the equation of conservation of energy, (a) Show that $$ \frac{\delta A}{A} =ā¦
(03/27/203) (Elastic Collisions) Two identical carts are placed on a frictionless track. Cart 1 is initially at rest while Cart 2 is moving to the right towards Cart 1. The two carts collide elastically. After the collision, which of the following is true? I. Carts 1 and 2 are both atā¦
The figure below shows a schematic drawing of a vehicular jack that is to be designed to support a weight of $W = 3000 N$. The opposite-handed threads on the two ends of the screw are cut to allow the link angle $\theta$ to vary from $15^{\circ}$ to $70^{\circ}$. The links are to be machinedā¦
3. DETAILS MY NOTES ASK YOUR TEACHER A 12.0 V battery is connected into a series circuit containing a 14.0 $\Omega$ resistor and a 1.70 H inductor. (a) In what time interval (in s) will the current reach 90.0% of its final value? s (b) In what time interval (in s) will the current reach 50.0%ā¦
The length of nylon rope from which a mountain climber is suspended has a force constant of $1.41 \times 10^4$ N/m. What is the frequency at which he bounces, given his mass plus and the mass of his equipment are 74.0 kg? 2.20 Hz Computer's answer now shown above. You are correct. Your receiptā¦
You're the operator of a 15,000 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 6.00 MW of power with a power factor of 0.870. Part A What is the rms current leaving the station? Express your answer with the appropriate units. Viewā¦
A two-dimensional rectangular plate is subjected to prescribed boundary conditions, $T_1 = 50^\circ C$, $T_2 = 140^\circ C$. The temperature distribution equation, derived by applying separation of variable methods to a two-dimensional conduction problem for a thin rectangular plate or longā¦
Save & Close Submit for Grading eed a hint coil with a large current will cause arger magnetic field than a coil with a small current Reset Score: 0/1 6. Identify the statements that accurately describe a relationship between changes in a current and changes in a magnetic field. elect all thatā¦
Member AB is rotating at $\omega_{AB} = 9$ rad/s. (Figure 1) Part A Determine the angular velocity of the member BPD. Express your answer in radians per second to three significant figures. Assume the positive direction is counterclockwise. View Available Hint(s) $\omega_{BPD} = $ rad/s Submitā¦
Determine the equivalent state of stress if an element is oriented 30Ā° clockwise from the element shown. Take $$ \tau_{xy} = 2 \text{ ksi} $$. (Figure 1) Figure 1 of 1 9 ksi $$ \tau_{xy} $$ 6 ksi Part A Find $$ \sigma_{x'} $$. Express your answer in kilopounds per square inch to threeā¦
$$f_1 = 60$$ $$D_1 = 100$$ $$D_2 = 40$$ $$f_3 = -75$$ $$D_3 = 40$$ 10 20 For an object at 400 mm to the left of lens 1. Make an accurate sketch of the system including at least the marginal and chief rays and several other rays that seem relevant to you. What is the diameter of the field ofā¦
The energy equation for a control volume is given as $$ \frac{\partial}{\partial t} \int_{CV} \rho e d \mathcal{V} + \sum_{out} \left( u + \frac{V^2}{2} + gz \right) \dot{m}_{out} - \sum_{in} \left( u + \frac{V^2}{2} + gz \right) \dot{m}_{in} = \dot{Q}_{net} + \dot{W}_{net} $$ where e is theā¦
Problem 5: (13% of Assignment Value) This problem compares the energy output and heat transfer to the environment by two different types of nuclear power stationsāone with the normal efficiency of 33 %, and another with an improved efficiency of 44 %. Suppose both have the same heat transferā¦
Your answer is incorrect. A long bar of rectangular cross section, 0.2 m x 0.3 m on a side and having a thermal conductivity of 15 W/m-K, is subjected to the boundary conditions shown. Uniform temperature, T = 200Ā°C Insulated Uniform temperature, T = 200Ā°C Two of the sides are maintained at aā¦
*Prob. 7.3-14. A 10-ft-long W8 $\times$ 15 wide-flange steel beam AB is supported by a roller support at end A and by a 6-ft-long rod BC of cross-sectional area A = 1.0 in$^2$. The beam supports a uniformly distributed load $w_0$ = 1 kip/ft, as shown in Fig. P7.3-14. (a) Neglecting the weightā¦
II. Problems 2. Block A has a mass of 500 kg and is supported by the rope structure shown. The angle $\alpha = 55^\circ$, and the ropes are connected by knots at the intersections (the ropes are distinct). a. (12 points) Draw a FBD of point B and point D. b. (15 points) Knowing the system is inā¦
Question 2 3 pts In a semi-conductor, one can control the density of charge carriers, n (number of mobile charges per volume), by varying the temperature. Let the charge of each charge carrier be e and the drift speed be $v_d$. The cross sectional area of your semi-conductor resistor is A.ā¦
12.9 According to its directional distribution, solar radiation incident on the earth's surface may be divided into two components. The direct component consists of parallel rays incident at a fixed zenith angle $\theta$, while the diffuse component consists of radiation that may beā¦
The strain components $$ \epsilon_x $$, $$ \epsilon_y $$, and $$ \gamma_{xy} $$ are given for a point in a body subjected to plane strain. Determine the strain components $$ \epsilon_n $$, $$ \epsilon_t $$, and $$ \gamma_{nt} $$ at the point if the n-t axes are rotated with respect to the x-yā¦
can never accelerate the object. O can never be greater than the normal force on it. O can never be greater than the kinetic friction force on it un Question 3 A crate travels through a factory on a straight, horizontal conveyor belt at a constant speed. If air resistance is negligible, whatā¦
The strain components $$ \epsilon_x $$, $$ \epsilon_y $$, and $$ \gamma_{xy} $$ are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle $$ \theta_p $$, theā¦
Two 0.56-m-long conducting rods are rotating at the same speed in opposite directions, and both are perpendicular to a 5.8-T magnetic field. As the drawing shows, the ends of these rods come to within 1.0 mm of each other as they rotate. Moreover, the fixed ends about which the rods areā¦
Problem 6.8: A collar C of weight W slides without friction on a horizontal rod between springs A and B. The spring constants are $$k_A = 10 \text{ lb/in}$$ and $$k_B = 15 \text{ lb/in}$$, and lengths $$L_1 = 3 \text{ in}$$ and $$L_2 = 30 \text{ in}$$. The collar is pushed to the left untilā¦
last submission is used for your score. DETAILS MY NOTES ASK YOUR A long solenoid with $1.90 \times 10^3$ turns per meter and radius 2.00 cm carries an oscillating current $I = 8.00 \sin 90\pi t$, where $I$ is in amperes and $t$ is in second (a) What is the electric field induced at a radius $rā¦
QUESTION 25 Which of the following statements is FALSE? A. Kinematics is the study of the effects of motion, while kinetics is the study of the causes of motion. B. The radius of gyration for a mass of uniform thickness is identical to the radius of gyration for a planar area of the sameā¦
The frame supports the distributed load shown with a maximum intensity of $w_0 = 4$ kN/m. Determine the state of stress acting at point $E$. (Figure 1) Figure 1 of 1 Part A Determine the normal stress at point $E$. Express your answer to three significant figures and include the appropriateā¦
The air flow to a four cylinder 4-stroke oil engine is measured by means of a 4.5 cm diameter orifice, having $C_d = 0.65$. During a test the following data was recorded: Bore = 10 cm, Stroke = 15 cm, Engine speed = 1000 RPM, Brake torque = 135 Nm, Fuel consumption = 5.0 kg/hour, $CV_{fuel}$ =ā¦
Sample Chegg Question Subject: Request for Brayton Cycle T-s and Box Diagrams Body: HI, I need T-s and schematic diagrams for an aviation gas turbine (Brayton cycle) with the following parameters: 1. Cycle Details: Fluid: Air ($\gamma=1.4$, $c_p=1.005$ kJ/kg-K) Inlet: $P_1=1$ bar, $T_1=300$ā¦
A sinusoidal wave moving along a string is shown twice in the figure, as crest A travels in the positive direction of an x axis by distance d = 6.40 cm in 4.10 ms. The tick marks along the axis are separated by 10.0 cm; height H = 6.80 mm. If the wave equation is of the form $y(x, t) = y_mā¦
Pause the simulation. Use the measuring tape to find the distance between two bright green bands (from the left side of a bright band to the left side of the next bright band). The result of your measurement will depend on how you use the tape (orient the tape perpendicular to the light frontā¦
Question 1(a): [10 marks] A current versus time graph is given in Figure 1-a. Sketch the charge versus time graph (Note: there is no charge at time zero). You can use the blank gridded area below to plot your graph. Show all your working steps. currentā¦
1. Steel balls that are 18 mm in diameter are annealed by heating to 1200 K and then slowly cooled to 400 K in an air environment of $T_{\infty} = 350$ K and $h_o = 20$ W/m$^2 \cdot$K. The properties of steel are $k = 60$ W/m$\cdot$K, $\rho = 7800$ kg/m$^3$ and $c = 600$ J/kg$\cdot$K. i.ā¦
Problem 1: A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two steel posts (see figure below). The copper bar has length 3L, cross-sectional area $A_c$, and Young's modulus $E_c$. Each steel post has length L, cross-sectional area $A_s$, and Young'sā¦
Problem 10: A 4-mm-diameter and 10-cm-long aluminum fin ($$k = 240 W/m \cdot ^\circ C$$) is attached to a surface at $$T_b = 250^\circ C$$ and is exposed to air at ambient temperature $$T_\infty = 20^\circ C$$. The heat transfer coefficient is $$h = 12 W/m^2 \cdot ^\circ C$$. Assuming adiabaticā¦
4. The pendulum consists of a 2-kg disk, and slender rods AB and DC which have a mass per unit length of 2 kg>m. Determine the length L of DC so that the center of mass is at the bearing O. What is the moment of inertia of this assembly about an axis perpendicular to the page and passingā¦
Q5: Fig. below shows two vertical walls supporting a uniform horizontal platform in equilibrium. platform wall X weight of platform (i) The net force acting on the platform is zero. State another condition that applies to this platform. (2) (ii) The walls exert upward forces on the platform. Anā¦
5. Guitar strings A guitar has strings with free-standing length 64 cm. The thickest string has fundamental frequency 82 Hz corresponding to note $$E_2$$ and mass density 6.8 g/m. a) What is the tension in the string. b) The thinnest string has frequency two octaves higher, corresponding toā¦
4. Draw the deflection curve where $w_1 = 2kN/m$ and the beam is 9-m-long. Indicate point 0 m, 3 m, 6 m and 9 m from the left. Also, indicate point where the slope of the curve is 0 and point where maximum deflection occurs. Cantilever, Uniform Distributed Load Deflection: $\delta =ā¦
What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? ($$R = 6.80 \Omega$$, $$\Delta V = 5.20 V$$) ammeter $$I = 0.595$$ Apply Kirchhoff's rules to generate a system of equations for the currents in the various branches of the circuit. A voltmeter $$Vā¦
Problem 7: During air cooling of steel balls, the convection heat transfer coefficient is determined experimentally as a function of air velocity to be $h = 17.9V^{0.54}$ for $0.5 < V < 2$ m/s, where $h$ and $V$ are in W/m$^2 \cdot$K and m/s, respectively. Consider a 24-mm-diameter steel ballā¦
The figure(Figure 1) shows voltage and current graphs for a series $RLC$ circuit. Part A What is the resistance $R$? Express your answer in ohms. $R = \Omega$ Submit Previous Answers Request Answer Incorrect; Try Again Part B If $L = 220 \mu H$, what is the resonance frequency in Hz? Expressā¦
Two parts of a machine are held together by bolts, each of which carries a static tensile load of 3100 N. Assume Sys = .58Sy 3.1 kN a. What size of class 5.8 coarse-thread metric bolt is required using a safety factor of 4. b. What is the least number of threads that must be engaged for theā¦
Suppose that for the production function $q = f(L, K)$, if $L = 5$ and $K = 10$, then $q = 100$. Which of the following statements is true? It is possible that $L = 6$ and $K = 10$ could yield $q = 90$. It is possible that $L = 5$ and $K = 11$ also yields $q = 100$. It is possible that $L =ā¦
What does each term in equation [1] represent? What does the term Normal mean in the context of dealing with an optical surface? Describe how light behaves in relation to the Normal when travelling between two interfaces in the following cases: From a less dense to a denser medium From a denserā¦
An ideal wind-turbine, 12 m in diameter, operates at a theoretical efficiency ($$\eta_{th}$$) (equation given below) of 50% in $$u_2$$ = 14 m/s wind. If the air density is 1.2 kg/$$m^3$$ and $$\eta_{th} = \frac{(u_1 + u_4)(u_1^2 - u_4^2)}{2u_1^3}$$ $$u_2 = u_3 = (u_1 + u_4) / 2$$ $$P_1 = P_4ā¦
Problem 8: The two-layer composite wall is constructed of materials A and B, having thermal conductivities $k_A = 92 W/m \cdot K$ and $k_B = 36 W/m \cdot K$ and is exposed to convection environments as given in the figure below. Assuming steady state conditions calculate, (a) the heat transferā¦
8. Kinetic energy refers to the energy of an object in motion. The amount of energy an object has (K) is related to the mass of the object (m, measured in kg), and its velocity (v, measured in m/s). The formula used to calculate kinetic energy is $K = \frac{1}{2}mv^2$. (9 marks) a. Solve for Kā¦
Q1: Define and give an example of a material that is: (a). ductile (b). plastic (c). elastic (d). brittle (e). tough. (10) Q2: Brass, an alloy of copper and zinc, consists of 70% by volume of copper and 30% by volume of zinc. density of copper = $8.9 \times 10^3$ kg $m^{-3}$ density of zinc =ā¦
Problem #4 An A36 Steel (E = 200 GPa) column built into the ground as shown in the Figure 4 has length, L = 2.2 m, and is under axial compressive load P. The dimensions of the cross-section are b = 210 mm and d = 280 mm. 1) Determine the critical load to buckle the column. 2) If the yieldā¦
* Design a hydraulic circuit to extend three parallel cylinders. * Each cylinder faces an external load of 1000 lb. * The angles between the cylinders and the horizontal are: * First cylinder: 0Ā° * Second cylinder: 45Ā° * Third cylinder: 90Ā° * The directional control valve actuation forā¦
Problem 9: Asbestos [$k = 0.18 W/m \cdot Ā°C$] is used as insulation material for a 5.0- cm-diameter pipe and is exposed to room air at $25Ā°C$ with [$h = 3.0 W/m^2 \cdot Ā°C$]. The surface temperature of the pipe is $200Ā°C$. (a) Calculate the critical radius of insulation. (b) Calculate the heatā¦
A stretched string has a mass per unit length of 4.20 g/cm and a tension of 24.8 N. A sinusoidal wave on this string has an amplitude of 0.159 mm and a frequency of 82.1 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x,t) = $$y_m$$ sin(kx +ā¦
1. Choose a sample material (gold, lead, foam, etc.) and drop it into the water. Repeat for all sample materials. A) Which materials sink in water? (0.5 pt) Gold B) Which materials float in water? (0.5 pt) Foam 2. Choose a material that sinks in water. Observe the water level as the materialā¦
Required information The machine part $ABC$ is supported by a frictionless hinge at $B$ and a $10^\circ$ wedge at $C$. The coefficient of static friction is $0.20$ at both surfaces of the wedge. The force $P$ is applied on the wedge to push it to the left. Given: $F = 600$ N. F A 200ā¦
Problem 2. Finite Wing Theory and Wing Loading (25 pts) A wing of aspect ratio equal to 6, having a lift coefficient of 0.8 and a drag coefficient of 0.1 is to be studied. The span is $2s = 8$ m and $z$ is the distance from the center of the span. a) Calculate the values of the coefficientsā¦
Judge the following sentence according to the criteria given below: Oil spills in the ocean are not considered harmful BECAUSE crude oil in seawater at concentrations of 0.7 parts per billion kills or damages certain fish eggs. The assertion and the reason are both correct, and the reason isā¦
Problem 4: (6% of Assignment Value) Fiber optics are an important part of our modern internet. In these fibers, two different glasses are used to confine the light by total internal reflection at the critical angle for the interface between the core ($n_{core} = 1.485$) and the claddingā¦
1. The wheel consists of a 5 kg slender ring with radius of 0.5 m and four, 2 kg rods (each 0.5 m long). What is the mass moment of inertia around the wheel's center of gravity? a. 1.92 kg-mĀ² b. 0.79 kg-mĀ² c. 0.625 kg-mĀ² d. 2.96 kg-mĀ² KNOWN: 1 ring = 5 kg r_s = 0.5 m 4 rods = 2 kg each r_r =ā¦
4 $C = \frac{\epsilon_0 A}{d}$ $\epsilon_0 = 8.85 \times 10^{-12}$ $L = 12 cm \rightarrow 0.12 m$ a) $d = 0.5 mm \rightarrow 0.0005 m$ $A = L^2 = (0.12 m)^2 = 0.0144 m^2$ $C = \frac{(8.85 \times 10^{-12})(0.0144)}{0.0005}$ $C = 2.55 \times 10^{-10} F$ $Q = CV$ b) $Q = 2.55 \times 10^{-10}ā¦
Problem #1 For the given state of stress as shown in Figure 1, determine the following terms by both Analytical Method (Equations) and Graphical Method (Mohr Circle): 1) The normal stress and shear stress exerted on the oblique face of the shaded triangular element with an angle $\theta =ā¦
fā = 60 Dā = 100 Dā = 40 fā = -75 Dā = 40 10 20 What is the diameter of the field of view in image space? Express your answer in mm with three significant figures. Enter answer here What is the angular field of view in image space? Express your answer in radians with three significant figures.ā¦
Two buildings near each other in an earthquake experience very different levels of damage. This could be explained by: O one has a steel structural framework, the other is made of reinforced concrete O they are of different heights, so one sways more than the other O the make up of the groundā¦
Q.52 In the structure shown in the figure, bars AB and BC are made of identical material and have circular cross-sections of 10 mm radii. The yield stress of the material under uniaxial tension is 280 MPa. Using the von Mises yield criterion, the maximum load along the z-directionā¦
DETAILS A long solenoid with $1.90 \times 10^3$ turns per meter and radius 2.00 cm carries an oscillating current $I = 8.00 \sin 90\pi t$, where (a) What is the electric field induced at a radius $r = 1.00$ cm from the axis of the solenoid? (Use the following as millivolts/meter and t beā¦
In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right at a constant speed. The resistor R = 5.00 $\Omega$, the distance between the rails is $\ell$ = 1.20 m, and a uniform 3.10 T magnetic field is directed into theā¦
A W10 x 39 rolled-steal beam supports a load P as shown. Knowing that P = 50 kips, a = 20 in, and $\sigma_{all}$ = 30 ksi, determine (a) the maximum value of the normal stress $\sigma_m$ in the beam, (b) the maximum value of the principal stress $\sigma_{max}$ at the junction of the flange andā¦
Judge the following sentence according to the criteria given below: The Bay of Fundy is a prime target for tidal power BECAUSE it has the largest tidal range in the world. The assertion and the reason are both correct, and the reason is valid. The assertion and the reason are both correct, butā¦
51. (II) In the circuit shown in Fig. 26ā68, switch S is closed at time $t = 0$. (a) After the capacitor is fully charged, what is the voltage across it? How much charge is on it? (b) Switch S is now opened. How long does it now take for the capacitor to discharge until it has only 2.0% of itsā¦
The figure gives the position of a 45.0 g block oscillating in SHM on the end of a spring. The horizontal axis scale is set by $t_s = 24.0$ ms. What are (a) the maximum kinetic energy of the block and (b) the number of times per second that maximum is reached? (Hint: Measuring a slope willā¦
The thin rectangular plate is uniformly deformed such that $$ \epsilon_x = 260 \mu\epsilon, \epsilon_y = -740 \mu\epsilon, $$ and $$ \gamma_{xy} = 820 \mu rad. $$ If $$ a = 20 mm, $$ determine (a) the normal strain $$ \epsilon_{n} $$ in the plate. (b) the normal strain $$ \epsilon_{t} $$ in theā¦
5. For the instant represented, car A is rounding the circular curve at a constant speed of 10 m/s, while car B is traveling with a speed of 20 m/s slowing down at the rate of 2.5 m/sĀ². a) Determine the magnitude of the velocity that car A appears to have to an observer in car B. b) Determineā¦
A 70-kg soldier on a secret mission has to parachute from an airplane over the desert. It takes 4.8 s for him to release his parachute after he jumps. Taking the mass of the parachute as 5 kg, estimate the force acting on the soldier as he releases the parachute. The diameter of the parachuteā¦
A composite bar made of two aluminium bars is firmly held between two yielding supports as shown above. An axial load of 200KN is applied at C at 50Ā°C. If there's a gap of 60mm between the points B and C of the bar, find the (i) stress in the bar. (ii) stress in bar AB. (iii) stress in barā¦
A 70-kg soldier on a secret mission has to parachute from an airplane over the desert. It takes 4.0 s for him to release his parachute after he jumps. Taking the mass of the parachute as 5 kg, estimate the force acting on the soldier as he releases the parachute. The diameter of the parachuteā¦
Required information A flat belt is used to transmit a couple from pulley A to pulley B. The radius of each pulley is 60 mm, and a force of magnitude $P = 940 N$ is applied as shown to the axle of pulley A. The coefficient of static friction is 0.35. 240 mm Determine the corresponding maximumā¦
Problem 5: Assume that three charges (q1, q2, and q3) are placed at the corners of an equilateral triangle with a side length of 1 cm, as shown in the figure below. (a) Calculate the magnitude of the net force acting on charge q2 due to the other two charges. (b) Draw a schematic diagramā¦
5. Radiation pressure The power of electromagnetic radiation from the Sun at the distance of the Earth is 1.3 kW/m$^2$. Assume a 100% reflective mirror of area 1 m$^2$ perpendicular to the propagation direction of the radiation. How large force is exerted on the mirror by the radiation? Howā¦
Suppose two batteries, with unequal emfs of 2.00 V and 3.00 V, are connected as shown in the figure. (Figure 1) Part A If each internal resistance is 0.38 $\Omega$ , and $R = 4.00\Omega$, what is the voltage across the resistor $R$? $V_R =$ V Submit Previous Answers Request Answer Incorrect;ā¦
A particular ride at an amusement park has a slide part, a water part, and a land part. The slide part is 200 feet long and it takes 2 seconds to slide down. The water part is 500 feet long and it takes 10 seconds for the passenger to ride through it. The land part is also 500 feet long and itā¦
Which of the following statements is NOT true? Branches are typically absent on the lower two-thirds of the tree trunks in the rain forest The structure of a rain forest includes four levels An area the size of South Carolina is cleared each year from rain forests globally Estimated rain forestā¦
elearn.southwest.tn.edu Chapter 12 - CHEM-2020-201 - Organic C... Ch. 17 Summary of Reactions - Organic Chemist... what fragments would produce a signal in the d... Question 3 (1 point) Listen Saved Which of the following fragments would produce a signal in the detector of a mass spectrometer?ā¦
PROBLEM 7.6 For the given state of stress, determine (a) the principal planes, (b) the principal stresses, (c) the orientation of the planes of maximum in-plane shearing stress, (d) the maximum in-plane shearing stress, and (e) the corresponding normal stress. 20 ksi 4 ksi 6 ksi $$\theta_p =ā¦
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