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July 9 of 2025
\begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Point & A & B & C & D & E & F & G \\ \hline Time \( (\mathrm{s}) \) & 0 & 10 & 20 & 30 & 40 & 50 & 60 \\ \hline Position \( (\mathrm{m}) \) & 0 & 0.25 & 0.25 & 0.25 & 0 & 0.25 & 0.25 \\ \hline \end{tabular} From the table above, 1. Construct a position…
A model of Toyota front suspension is shown in Figure 1a and a simplified model shown in Figure 1b. Use this information to answer Questions 1-8 \( x(0)=1 \mathrm{~mm} \) and \( \dot{x}(0)=-2 \mathrm{~mm} / \mathrm{s} \). Figure 1a Figure 1b 1. What is the equivalent stiffness \(…
Question A disc (mass \( m=2 \mathrm{~kg} \), radius \( r=0.4 \mathrm{~m} \) ) roles without slipping down ramp that is 3 m along and inclined at \( 30^{\circ} \). Find: (a) The angular acceleration (b) The time it takes to reach the bottom (8) (c) The final angular velocity Solution
1. A marble rolls from rest down a 100 - cm -long inclined plane with uniform acceleration. Its displacement along the line in every second is tabulated as follows: \begin{tabular}{lllllll} Time, \( \mathrm{t}(\mathrm{sec}) \) & 0 & 1 & 2 & 3 & 4 & 5 \\ Displacement, x (meter) & 0 & 2 & 8 & 18…
8. Arc Length. When a wheel of radius b rolls around the outside of a circle of radius \( a \), a point on the wheel traces a curve called an epicycloid: \[ \begin{array}{ll} x=(a+b) \cos (t)-b \cos \left(\frac{a+b}{b} t\right) & \\ y=(a+b) \sin (t)-b \sin \left(\frac{a+b}{b} t\right) & 0 \leq…
Example 4.2. A point moves with simple harmonic motion. When this point is 0.75 metre from the mid path, its velocity is \( 11 \mathrm{~m} / \mathrm{s} \) and when 2 metres from the centre of its path its velocity is \( 3 \mathrm{~m} / \mathrm{s} \). Find its angular velocity, periodic time and…
Type here to search B \( 26^{\circ} \mathrm{C} \)
Type here to search E \( 26^{\circ} \mathrm{C} \)
exhib SMU- Outlir wien's wavel comp phote Exerci isotro a elearning.usm.my/sidang2425/pluginfile.php/354305/mod_resource/content/1/Exercise\%202\%20ZCT\%20104\%202025\%20A.pdf (ii) How much radiation power enters your eye? Since the lightbulb emits radiation equally in all directions…
O Type here to search \( A s_{3} \) O B \( 26^{\circ} \mathrm{C} \)
exhib SMU- Outlii wien': wavel comp phote rate \( c \) Exerci isotrc elearning.usm.my/sidang2425/pluginfile.php/354305/mod_resource/content/1/Exercise\%202\%20ZCT\%20104\%202025\%20A_pdf Exercise 2 ZCT 1042025 A.pdf 8 / 13 167\% 6. The light bulb's filament, with dimensions of length \( 1=20…
maritimetrainer Quiz Question 30 of 30 30. Which function is this operational amplifier circuit performing? Non-inverting amplifier Differentiator Inverting amplifier Integrator Back fid 4 5 6 Поиск
1: Consider the following FBDs. An elevator is suspended by a cable and moves uniformly upward. Which of the above free body diagrams best represents the forces acting on the elevator? a) \( D \) b) C c) \( E \)
Question 17 (1 point) The same force acts on two objects having different masses. The more massive object will experience the greater acceleration. True False
State any two precautions you took when performing this experiment. EXPERIMENT 17: LINEAR MAGNIFICATION APPARATUS: Ray box, convex lens, screen, optical bench, meter rule, 2 lens holder. Fig. 4 An illuminated object (crosswire) from a ray box of fixed distance (ho) is provided. Measure and…
\[ \vec{v}_{f}^{2}=\vec{v}_{i}^{2}+2 a \Delta \vec{d} \quad \Delta \vec{d}=\vec{v}_{i} \Delta t+\frac{1}{2} \vec{a} \Delta t^{2} \] Page 3: Question 16 (1 point) If two forces that are identical in strength but exactly opposite in direction act on the same object, that objectimust necessarily…
\begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Point & A & B & C & D & E & F & G \\ \hline Time \( (\mathrm{s}) \) & 0 & 10 & 20 & 30 & 40 & 50 & 60 \\ \hline Position \( (\mathrm{m}) \) & 0 & 0.25 & 0.25 & 0.25 & 0 & 0.25 & 0.25 \\ \hline \end{tabular} From the table above, 1. Construct a position…
2. A racing car starts from rest at the first pole and accelerates \( 0.35 \mathrm{~m} / \mathrm{s}^{2} \) for 15 seconds, continues at constant velocity for 25 seconds, and stops in the last pole in 7 sec. with constant deceleration. If the spacing between the poles is 4 meters, how many poles…
Quiz Question 25 of 30 25. What is the main purpose of a heat exchanger in the cooling water system? Maintain a steady pressure in the system Transfer heat from one fluid to another Reduce water turbulence Reduce engine room temperature Back
Bases is He Site Stu:(6*; 2s+31 posbielearningontario.ca es \& Newton's Laws Quiz(S 2025) 0:27:35 remail \[ \begin{array}{l} \vec{F}_{n e t}=m \vec{a} \quad F_{g}=m g F_{k}=\mu_{k} F_{N} \quad F_{s}=\mu_{s} F_{N} \\ \vec{v}_{f}=\vec{v}_{i}+\vec{a} \Delta t \quad \Delta…
Question 13 (1 point) An airplane is flying in level flight with constant velocity. The forward "thrust" force acting on the airplane is greater than the "drag" force acting in the opposite direction. True False Previous Page Next Page Page 13 of 19
Question 12 (1 point) Of the four fundamental forces, the weak nuclear force is, by far, the weakest. False True
Single Answer Choice Type: 17. If the system is in equilibrium \( \left(\cos 53^{\circ}=3 / 5\right) \), then the value of ' \( P \) ' is 1) 16 N 2) 4 N 18. Two balls are moving on a table. One has the 4) \( \sqrt{232} N \) \( V_{x}=1 \mathrm{~ms}^{-1}, V_{y}=\sqrt{3} \mathrm{~ms}^{-1} \)…
Question 11 (1 point) A car accelerates from rest when a traffic light turns green. A cup of coffee that was sitting on the dashboard of the car falls into the driver's lap. The driver could rightly argue that the cup's apparent motion was due to its inertia. It had a tendency to stay still and…
1. A racing car starts from rest at the first pole and accelerates \( 0.4 \mathrm{~m} / \mathrm{s}^{2} \) for 10 seconds, continues at constant velocity for 20 seconds and stopped in the last pole in 6 sec . with constant deceleration. If the spacing between the poles is 4 meters apart, how…
QUESTION 3 a) Sketch and label the bath tub curve. Explain each section on the graph. (9 marks) b) 1000 similar equipments which are known to have constant failure rates of \( 5 \% \) per 1000 h are put into operation at the same time. Calculate the predicted times which will elapse before: i)…
Quiz Question 8 of 30 8. Which type of temperature sensor is used in this temperature measuring system? Quartz sensor Platinum resistance sensor Thermocouple sensor Thermistor sensor
(v) (A) FIGURE 024.6 FIGURE Q24.7 7. What is the current direction in the wire of Figure Q24.7?
(v) (A) FIGURE 024.6 FIGURE Q24.7 7. What is the current direction in the wire of Figure Q24.7?
(v) (A) FIGURE 024.6 FIGURE Q24.7 7. What is the current direction in the wire of Figure Q24.7?
(v) (A) FIGURE 024.6 FIGURE Q24.7 7. What is the current direction in the wire of Figure Q24.7?
Tabulate your result as follows: \begin{tabular}{|l|l|l|l|l|} \hline\( u(\mathrm{~cm}) \) & \( v(\mathrm{~cm}) \) & \( a=u-f(\mathrm{~cm}) \) & \( b=v-f(\mathrm{~cm}) \) & \( 1 / b\left(\mathrm{~cm}^{-1}\right) \) \\ \hline 15 & 30.3 & & & \\ 20 & 19.8 & & & \\ 25 & 16.8 & & & \\ 30 & 15.4 & &…
Problem 9: (10\% of Assignment Value) A right, rectangular prism of density \( \varrho_{p} \) rests at the bottom of a tank of fluid of density \( \varrho_{f} \). The depth of the top of the prism is h , the width and height of the prism are D and H , respectively, and the slanted face makes an…
Problem 9: (10\% of Assignment Value) A right, rectangular prism of density \( \varrho_{p} \) rests at the bottom of a tank of fluid of density \( \varrho_{f} \). The depth of the top of the prism is h , the width and height of the prism are D and H , respectively, and the slanted face makes an…
Problem 9: (10\% of Assignment Value) A right, rectangular prism of density \( \varrho_{p} \) rests at the bottom of a tank of fluid of density \( \varrho_{f} \). The depth of the top of the prism is h , the width and height of the prism are D and H , respectively, and the slanted face makes an…
Problem 9: (10\% of Assignment Value) A right, rectangular prism of density \( \varrho_{p} \) rests at the bottom of a tank of fluid of density \( \varrho_{f} \). The depth of the top of the prism is h , the width and height of the prism are D and H , respectively, and the slanted face makes an…
What benefits do you get from the following methods of separating mixtures? Give 1 benefit for each. 1. Evaporation 2. Filtration 3. Decantation 4. Crystallization 5. Centrifugation 6. Sieving 7. Winowing 8. Threshing 9. Handpicking 10. Panning 3
2. A racing car starts from rest at the first pole and accelerates \( 0.35 \mathrm{~m} / \mathrm{s}^{2} \) for 15 seconds, continues at constant velocity for 25 seconds, and stops in the last pole in 7 sec . with constant deceleration. If the spacing between the poles is 4 meters, how many…
9. If \( \vec{A}=2 \hat{i}-3 \hat{j}+4 \hat{k} \), its components in \( y z \)-plane and \( z x \)-plane are respectively 1) \( \sqrt{13} \) and 5 2) 5 and \( 2 \sqrt{5} \) 3) \( 2 \sqrt{5} \) and \( \sqrt{13} \) 4) \( \sqrt{13} \) and \( \sqrt{29} \) 10. A force of 10 N is resolved into the…
If the object moves with uniform velocity, what is its weight? 40 N 8 N 17 N 25 N
Question 3 (3 points) savea What is the mass of the object if it moves upward with an acceleration of \( 2.0 \mathrm{~m} / \mathrm{s}^{2} \) ? 2.5 kg 8.0 kg 20 kg 5.1 kg 3.4 kg
7. If \( \vec{A}=2 \hat{i}+3 \hat{j}-\hat{k} \) is a vector which makes an angle \( \theta \) with \( y \) axis, then \( \theta \) is 1) \( \cos ^{-1}\left(\frac{1}{\sqrt{14}}\right) \) 2) \( \cos ^{-1}\left(\frac{\sqrt{14}}{3}\right) \) 3) \( \cos ^{-1}\left(\frac{3}{\sqrt{14}}\right) \) 4) \(…
Bes-u SHice Site Studert Doitsl I.I \&uizes - SPH3UA•6•Shysics- pdsb.elearningontario.ca es \& Newton's Laws Quiz(S 2025) \[ v_{f}=v_{i}+\Delta u \Delta u \quad \Delta u=v_{i} \Delta v+\frac{1}{2} u \Delta v \] Question 4 (3 points) Two ice skaters are standing in the middle of the rink.…
Essus SHike Size Sture of "s.tsi pelsb.elearningontario.ca es \& Newton's Laws Quiz(S 2025) 0 \( 0: \) \[ \vec{v}_{f}^{2}=\vec{v}_{i}^{2}+2 a \Delta \vec{d} \quad \Delta \vec{d}=\vec{v}_{i} \Delta t+\frac{1}{2} \vec{a} \Delta t^{2} \] Question 3 (3 points) A car is travelling due west at \( 30…
Question 2 (3 points) A 2100 kg car experiences a force of \( 5500 \mathrm{~N}[\mathrm{E}] \) from the engine and a frictional force of \( 701 \mathrm{~N}[\mathrm{~W}] \). What is the acceleration of the car? \( 2.5 \mathrm{~m} / \mathrm{s}^{2} \) [W] \( 2.2 \mathrm{~m} /…
Student Portsl 1.4 Quizzes - SPHIU4-6-Physics: site arningontario.ca lewton's Laws Quiz(S 2025) Question 1 (3 points) A hockey puck of mass 2000 g is sliding south along the ice and slows at a rate of 0.9 \( \mathrm{m} / \mathrm{s}^{2} \). What is the net force acting on the puck? a) \( 1.9…
Student Portal 1.4 Quizzes - SPHBU4-6-Physics- gontario.ca ton's Laws Quiz(S 2025) \( 0: 59: 46 \) Question 1 (3 points) A hockey puck of mass 2000 g is sliding south along the ice and slows at a rate of 0.9 \( \mathrm{m} / \mathrm{s}^{2} \). What is the net force acting on the puck? a) \( 1.9…
2. A racing car starts from rest at the first pole and accelerates \( 0.35 \mathrm{~m} / \mathrm{s}^{2} \) for 15 seconds, continues at constant velocity for 25 seconds, and stops in the last pole in 7 sec . with constant deceleration. If the spacing between the poles is 4 meters, how many…
Current Attempt in Progress X Your answer is incorrect. A 2.2-in.-diameter rod weighing 3.6 lb per foot of length falls coaxially inside a tube with a 2.210 in . inside diameter. The gap between the rod and the shaft is filled with SAE 10 W oil at \( 20^{\circ} \mathrm{C} \). What is the…
Current Attempt in Progress X Your answer is incorrect. A 2.2-in.-diameter rod weighing 3.6 lb per foot of length falls coaxially inside a tube with a 2.210 in . inside diameter. The gap between the rod and the shaft is filled with SAE 10 W oil at \( 20^{\circ} \mathrm{C} \). What is the…
Current Attempt in Progress X Your answer is incorrect. A 2.2-in.-diameter rod weighing 3.6 lb per foot of length falls coaxially inside a tube with a 2.210 in . inside diameter. The gap between the rod and the shaft is filled with SAE 10 W oil at \( 20^{\circ} \mathrm{C} \). What is the…
Current Attempt in Progress X Your answer is incorrect. A 2.2-in.-diameter rod weighing 3.6 lb per foot of length falls coaxially inside a tube with a 2.210 in . inside diameter. The gap between the rod and the shaft is filled with SAE 10 W oil at \( 20^{\circ} \mathrm{C} \). What is the…
Answer Choice Type: 1. If a vector has an \( x \) component of -25.0 units and a \( y \) component of 40.0 units, then the magnitude and direction of this vector is 1) \( 5 \sqrt{89} \) units; \( \sin ^{-1} \frac{-5}{\sqrt{89}} \) with \( x \)-axis 2) \( 5 \sqrt{89} \) units; \( \cos ^{-1}…
Quiz 3 A parallel plate capacitor has an area of 10 cm square and distance between the plates is 2 mm . The dielectric used between the plates has relative permittivity of 3 . i. Determine the capacitance of the parattel plate capacitor. ii. The potential gradient between the plates in the…
Do all rough work on the supplementary sheets provided. A model of Toyota front suspension is shown in Figure 1a and a simplified model shown in Figure 1b. Use this information to answer Questions 1-8 \( x(0)=1 \mathrm{~mm} \) and \( \dot{x}(0)=-2 \mathrm{~mm} / \mathrm{s} \). Figure…
1. A beam ABC supports a uniformly distributed load (UDL) of \( 12 \mathrm{kN} / \mathrm{m} \) and a point load of 2.4 kN as shown in the figure below. Draw the shear force diagram and bending moment diagram for the beam. ( 15 mks ) 2. Draw the shear force diagram and bending moment diagram for…
a) Sketch and label the bath tub curve. Explain each section on the graph. (9 marks) b) 1000 similar equipments which are known to have constant failure rates of \( 5 \% \) per 1000 h are put into operation at the same time. Calculate the predicted times which will elapse before: i) 50 (6…
Session 2024-25 IE EDUCATORS Subject: Science C. Write symbols of the following elements. Oxygen (0) Essential for respiration in living beings
A model of Toyota front suspension is shown in Figure 1a and a simplified model shown in Figure 1b．Use this information to answer Questions 1－8 \[ x(0)=1 \mathrm{~mm} \text { and } \dot{x}(0)=-2 \mathrm{~mm} / \mathrm{s} . \] Figure 1a Figure 1b 1．What is the equivalent stiffness \(…
A model of Toyota front suspension is shown in Figure 1a and a simplified model shown in Figure 1b. Use this information to answer Questions 1-8 \[ x(0)=1 \mathrm{~mm} \text { and } \dot{x}(0)=-2 \mathrm{~mm} / \mathrm{s} . \] Figure 1a Figure 1b 1. What is the equivalent stiffness \(…
Type here to search E \( 26^{\circ} \mathrm{C} \)
MUKUBA UNIVERSITY PHYSICS DEPARTMENT PHY 250: CLASSICAL MECHANICS AND SPECIAL RELATIVITY-2024/2025 TUTORIAL SHEET 4: KINEMATICS AND DYNAMICS OF A RIGID BODY; GRAVITATION 1. (a) Consider a point mass \( m \) with momentum \( \vec{p} \) rotating at a distance r about an axis. Starting from the…
A tubular steel with modulus of rigidity of 70 GPa has dimensions and cross-sections as displayed in Figure Q1. The steel shaft is installed at its ends \( A \) and \( E \) and the shaft is applied with torques of \( T_{C}=\mathbf{1 5 0 0 ~ N m} \) and \( T_{D}=\mathbf{6 0 0 ~ N m} \). Note…
At the instant of the figure, a 2.00 kg particle \( P \) has a position vector \( \vec{r} \) of magnitude 5.10 m and angle \( \theta_{1} \) \( =49.0^{\circ} \) and a velocity vector \( \vec{v} \) of magnitude 3.40 \( \mathrm{m} / \mathrm{s} \) and angle \( \theta_{2}=28.0^{\circ} \). Force \(…
At the instant of the figure, a 2.00 kg particle \( P \) has a position vector \( \vec{r} \) of magnitude 5.10 m and angle \( \theta_{1} \) \( =49.0^{\circ} \) and a velocity vector \( \vec{v} \) of magnitude 3.40 \( \mathrm{m} / \mathrm{s} \) and angle \( \theta_{2}=28.0^{\circ} \). Force \(…
At the instant of the figure, a 2.00 kg particle \( P \) has a position vector \( \vec{r} \) of magnitude 5.10 m and angle \( \theta_{1} \) \( =49.0^{\circ} \) and a velocity vector \( \vec{v} \) of magnitude 3.40 \( \mathrm{m} / \mathrm{s} \) and angle \( \theta_{2}=28.0^{\circ} \). Force \(…
(2) Twenty three hundred liters of partially frozen ice cream at \( -4^{\circ} \mathrm{C} \) enter a hardening room each day. Hardening is completed and the temperature of the ice cream is lowered to \( -28^{\circ} \mathrm{C} \) in 10 hours. The average density of ice cream is \( 0.60…
At the instant of the figure, a 2.00 kg particle \( P \) has a position vector \( \vec{r} \) of magnitude 5.10 m and angle \( \theta_{1} \) \( =49.0^{\circ} \) and a velocity vector \( \vec{v} \) of magnitude 3.40 \( \mathrm{m} / \mathrm{s} \) and angle \( \theta_{2}=28.0^{\circ} \). Force \(…
(b) The circuit in Fig. 8.1 is now modified as shown in Fig. 8.2. Fig. 8.2 (i) Calculate 1. the current in the \( 8.0 \Omega \) resistor, current = \( \qquad \) [1] 2. the current in the battery. current = \( \qquad \) [1] (ii) The battery is now reversed. State the current in the…
7 (a) Fig. 8.1 shows a 12.0 V battery connected to a resistor and a component X in series. Fig. 8.1 (i) Identify the component X . \( \qquad \) [1] (ii) The p.d. across the \( 4.0 \Omega \) resistor is 11.3 V . Calculate 1. the p.d. across component \( X \), p.d. =…
Q8: The radius of hydrogen atom is approximately 4 Pm . What is its value in mm ?
(a) How much time is needed to measure the kinetic energy of an electron whose speed is \( 10.0 \mathrm{~m} / \mathrm{s} \) with an uncertainty of no more than 0.100 percent? How far will the electron have travelled in this period of time? (b) Make the same calculations as in (a) for a \(…
Q8: The radius of hydrogen atom is approximately 4Pm. What is its value in mm ? \( \qquad \)
Q6:Why is the use of zero error necessary in a measuring instrument?
4 In Fig. 9.1, a 12 V battery supplies a current \( I \) to a circuit. The circuit contains a thermistor and a \( 1000 \Omega \) resistor in parallel, with a \( 500 \Omega \) resistor in series. Fig. 9.1 (a) At a certain temperature, the thermistor has a resistance of \( 1000 \Omega…
6 The output of an a.c. generator in a power station is 5000 V . A transformer increases the voltage to 115000 V before the electrical power is transmitted to a distant town. (a) State and explain, using a relevant equation, one advantage of transmitting electrical power at a high voltage. \(…
The Bragg condition is \( \sin \theta=\mathrm{n} \lambda / \mathrm{D} \). The 350 eV electron beam is nonrelativistic. What is the de Broglie wavelength? What is the value of \( \theta \) when \( n=1,2,3 \) and 4 ? Problem 5-15: The Bragg condition is \( \sin \phi=n \lambda / D \). The 350 eV…
1 (i) State and explain what is observed on the ammeter. \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) [3] (ii) State what is observed on the ammeter when PQ is moved 1. vertically downwards at a greater speed, \( \qquad \) [1] 2. vertically upwards at the same speed as in 1. \( \qquad…
5 (a) Fig. 10.1 shows the gap between the \( N \)-pole and the S-pole of a magnet. The magnetic field in the gap is uniform. Fig. 10.1 On Fig. 10.1, draw four field lines to show the pattern and direction of the magnetic field in the gap. (b) Fig. 10.2 shows a horizontal copper wire PQ between…
4 Fig. 9.1 shows two separate coils of wire wound around an iron core. Fig. 9.1 An a.c. supply is connected across the primary coil and a 12 V lamp is connected across the secondary coil. The lamp glows with normal brightness. (a) State the name of the device shown in Fig. 9.1. [1] (b) Explain…
Q 32. We have an exact cube (Assume every length of the cube is exactly its resistance is 3\% and its length is 2\% uncertainty in the calculation of resis cube is A) \( 3 \% \) B) \( 5 \% \) C) \( 7 \% \) D) \( 9 \% \) Q 33: 37.535 can be rounded off as to two decimal places A) 37.53 B)…
A beam of \( \mathbf{5 0 - k e V} \) electrons is directed at a crystal and diffracted electrons are found at an angle of \( 50^{\circ} \) relative to the original beam. What is the spacing of the atomic planes of the crystal? Is relativistic calculation needed for \( \lambda \). 3-26: As in…
13.7 What is this value of the slope? Explain. Plot a graph D against \( \frac{d^{2}}{D} \) and \( \frac{d^{2}}{D} \) against \( \frac{1}{D} \) State any two precautions you took when p
A) significant figures in bothmeasurements are equal B) significant figures in first measurement is one more than second one C) significant figure in first measurement is one less than second measurement D) Any of the above statement could be correct. Q 18. A reading measured as 17.35 cm may…
SUMNER PACK FOR THE MONTH OF JULY PHYSICS VIII SESSION 2025-26 WORK SHEET I MULTIPLE CHOICE QUESTIONS Q 1. Base Quantities are those quantities which A which are not defined in terms of other physical quantities B) minimum number of quantities which can define all the other quantities C) which…
coordinates \( (0,6) \mathrm{m} \) ? 2. A door 1 m wide and of mass 15 kg , is hinged at one side so that it can rotate without friction about a vertical axis. The door is initially unlatched. A bullet of mass 10 grams travelling at \( 400 \mathrm{~m} / \mathrm{s} \) lodges exactly into the…
2. A door 1 m wide and of mass 15 kg , is hinged at one side so that it can rotate without friction about a vertical axis. The door is initially unlatched. A bullet of mass 10 grams travelling at \( 400 \mathrm{~m} / \mathrm{s} \) lodges exactly into the centre of the door in a direction…
8.82 * CP Two identical masses Figure P8.82 are released from rest in a smooth hemispherical bowl of radius \( R \) from the positions shown in Fig. P8.82. Ignore friction between the masses and the surface of the bowl. If the masses stick together when they collide, how high above the bottom…
2. A door 1 m wide and of mass 15 kg , is hinged at one side so that it can rotate without friction about a vertical axis. The door is initially unlatched. A bullet of mass 10 grams travelling at \( 400 \mathrm{~m} / \mathrm{s} \) lodges exactly into the centre of the door in a direction…
2. A door 1 m wide and of mass 15 kg , is hinged at one side so that it can rotate without friction about a vertical axis. The door is initially unlatched. A bullet of mass 10 grams travelling at \( 400 \mathrm{~m} / \mathrm{s} \) lodges exactly into the centre of the door in a direction…
3. For the manometer below, all fluids are at \( 20^{\circ} \mathrm{C} \). If \( \mathrm{p}_{8}{ }^{-} \mathrm{p}_{\mathrm{a}}=97 \mathrm{kPa} \), determine the height H in centimeters. (Answer: 22.6 cm )
Q4:Classify the following organisms into the 5 kingdoms: 1. Lion: Kingdom: \( \qquad \) 2. Mushroom: Kingdom: \( \qquad \) 3. Bacteria: Kingdom: \( \qquad \) 4. Sunflower: Kingdom: \( \qquad \) 5. Frog: Kingdom: \( \qquad \) 6. Amoeba: Kingdom: \( \qquad \) 7. Archaea: Kingdom: \( \qquad…
Sensor A reads 1.5 kPa (gage). All fluids are at \( 20^{\circ} \mathrm{C} \). Determine the elevations Z in meters of the liquid levels in the open piezometer tubes B and C. (Answer: \( Z_{8}=2.73 \mathrm{~m}, Z_{C}=1.93 \mathrm{~m} \) )
PROBLEM 3 Three blocks of masses \( m_{1}, m_{2} \) and \( m 3 \) are connected as shown in the Figure. All the surfaces are frictionless and the string and the pulleys are light. Find the acceleration of \( \mathrm{m}_{1} \) PROBLEM 4 Find the constraint relation in the Figure.
Eons Board, Osogbo. 10. A mixture of oil and water can be easily separated by. A. sublimation B. evaporation to dryness C. using a separating funnel D. fractional crystallization 11. The percentage of sulphur in sulphur(iv) oxide is \( (s=32,0=16) \). \( \begin{array}{lll}\text { A. } 5 \% &…
Figure 2.10 (Quick Quiz 2.3) Match each velocity vs. time graph to its corresponding acceleration vs. time graph. a d b e
When performing this experiment. EXPERIMENT 15: DETERMINATION OF FOCAL LENGTH (f) OF THE CONVEX LENS BY DISPLACEMENT METHOD APPARATUS: Ray box, convex lens, screen, optical bench, meter rule, 2 lens polder. Object or (Ray box) Fig. 3 First find the rough focal length of the convex lens by…
1. A beam ABC supports a uniformly distributed load (UDL) of \( 12 \mathrm{kN} / \mathrm{m} \) and a point load of 2.4 kN as shown in the figure below. Draw the shear force diagram and bending moment diagram for the beam. ( 15 mks ) 2. Draw the shear force diagram and bending moment diagram for…
2. Sensor A reads 1.5 kPa (gage). All fluids are at \( 20^{\circ} \mathrm{C} \). Determine the elevations Z in meters of the liquid levels in the open piezometer tubes B and C. (Answer: \( Z_{B}=2.73 \mathrm{~m}, Z_{C}=1.93 \mathrm{~m} \) )
Sensor A reads 1.5 kPa (gage). All fluids are at \( 20^{\circ} \mathrm{C} \). Determine the elevations Z in meters of the liquid levels in the open piezometer tubes \( B \) and \( C \). (Answer: \( Z_{B}=2.73 m, Z_{C}=1.93 m \) )
33. Two persons are going at the speed of \( 2 \mathrm{~km} / \mathrm{hr} \) and \( 4 \mathrm{~km} / \mathrm{hr} \) respectively in the same direction in which a train is going. This train crosses them in 9 seconds and 10 seconds respectively. What is the length of the train? (a) 72 m (b) 54…
2. In the production of activated carbon, the size distribution of dust collected using a microscopic technique was measured as follows in the data below: \begin{tabular}{|l|l|} \hline Size range ( \( \mu \mathrm{m} \) ) & Number of particles in range (-) \\ \hline 0-2 & 2000 \\ \hline 2-4 &…
6. The graph below shows a velocity-time graph for an object moving in a time interval of 20 s. a) Find the distance travelled. b) Find the displacement. c) Work out the average velocity.
2. Which of the following liquids do not mix with water? A. cooking oil B. liquid soap C. soy sauce D. vinegar 3. What will happen when you mix oil with water? A. It will burst. B. It will dissolve evenly. C. It will become immiscible. D. It will change the shape and size. 4. Miya is washing…
1. Which of the following phases of matter has no definite size, but it tal the shape of the container? A. gas B. solid C. liquid D. plasma
Additional Assignment (CQI) A closed tank contains 1.5 m of SAE 30 oil, 1 m of water, 20 cm of mercury, and an air space on top, all at \( 20^{\circ} \mathrm{C} \). If \( \mathrm{p}_{\text {bottom }}=60 \mathrm{kPa} \), what is the pressure in the air space? (Answer: \( \mathrm{p}_{\text {air…
6. Calculate the net torque about the axle of the wheel shown below. Assume that a friction torque of 0.60 Nm opposes the motion.
1. The graph below shows a distance-time graph for a girl on a cycle ride. a) How far did she travel? b) How long did she take to travel? c) What was her average speed in km/h? d) How many stops did she make? e) How long did she stop for altogether? f) What was her average speed, excluding…
Name: MATA和: Course Cone: Course Titke: DATE: Question \[ \left.\left\lvert\, \begin{array}{lll} \sigma_{x}-\sigma_{p} & I_{x y} & I_{x x} \\ T_{x y} & \sigma_{y}-\sigma^{\prime} p & I_{y} \\ I_{z x} & I_{y z} & \left(\sigma_{z}\right. \end{array}\right.\right)=0 \] Find the determinat of this
3. For the manometer below, all fluids are at \( 20^{\circ} \mathrm{C} \). If \( \mathrm{p}_{\mathrm{B}}-\mathrm{p}_{\mathrm{A}}=97 \mathrm{kPa} \), determine the height H in centimeters. (Answer: \( \mathbf{2 2 . 6 ~ c m} \) )
Question 2 [18] In the double reduction gear train configuration illustrated in Figure 2, which incorporates an idler gear, the input shaft rotates at 1750 rpm in a clockwise direction. 2.1 Determine the output speed of the gear train. (10) 2.2 Calculate the overall gear ratio of the system…
Force 1 \[ \begin{array}{l} A_{x}=20 \mathrm{~N} \cdot \cos \left(10^{\circ}\right)=19.7 \\ A_{y}=20 \mathrm{~N} \cdot \sin \left(10^{\circ}\right)=3.47 \end{array} \] force B \[ \begin{array}{l} B_{x}=55 \mathrm{~N}=\cos \left(70^{\circ}\right)=18.81 \\ B_{y}=55 \mathrm{~N}=\sin…
An aluminum wire consists of the three segments shown in (Figure 1). The current in the top segment is \( I=15 \mathrm{~A} \). Figure 1 of 1 For each of these three segments, find the drift velocity \( v_{d} \). Express your answers in meters per second separated by commas. View Available…
3. Curved surface of a liquid in a container: \( \qquad \) 4. Unit used to measure very small volumes: \( \qquad \) 5. A container with measurement lines used in volume experiments:
Figure below shows bimetallic strip at room temperature and the same strip at \( 100^{\circ} \mathrm{C} \). Compare linear expansivity values of the two metals.
A uniform magnetic field \( \mathrm{B}=1.8 \mathrm{~T} \) points in the \( +x \) direction. A square loop with sides of length \( \mathrm{d}=20 \mathrm{~cm}, \mathrm{~N}=12 \) turns, and current \( \mathrm{I}=0.85 \mathrm{amps} \) per turn pivots without friction around a pin about the z -axis…
A uniform magnetic field \( \mathrm{B}=1.8 \mathrm{~T} \) points in the \( +x \) direction. A square loop with sides of length \( \mathrm{d}=20 \mathrm{~cm}, \mathrm{~N}=12 \) turns, and current \( \mathrm{I}=0.85 \mathrm{amps} \) per turn pivots without friction around a pin about the z -axis…
A uniform magnetic field \( \mathrm{B}=1.8 \mathrm{~T} \) points in the \( +x \) direction. A square loop with sides of length \( \mathrm{d}=20 \mathrm{~cm}, \mathrm{~N}=12 \) turns, and current \( \mathrm{I}=0.85 \mathrm{amps} \) per turn pivots without friction around a pin about the z -axis…
An electric motor operating at 1500 rpm drives a fan through a flat belt drive system, as illustrated in Figure 1. The motor pulley has a diameter of 355 mm , while the fan pulley has a diameter of 500 mm . The flat belt used has a width of 100 mm , a thickness of 3.5 mm , a coefficient of…
A uniform magnetic field \( \mathrm{B}=1.8 \mathrm{~T} \) points in the \( +x \) direction. A square loop with sides of length \( \mathrm{d}=20 \mathrm{~cm}, \mathrm{~N}=12 \) turns, and current \( \mathrm{I}=0.85 \mathrm{amps} \) per turn pivots without friction around a pin about the z -axis…
11. Figure below shows a lift pump. a) Name the valve that opens and the one that closes when the piston is pulled upwar Opens \( \qquad \)
Question 12 A 3000 N block is placed on an inclined plane as shown in Fig. 5.24. Find the maximum value of W for equilibrium if tipping does not occur. Assume coefficient of friction as 0.2 .
GRAPHICAL AND ANALYTICAL YOUR TURN Four sled dogs are pulling a 1000 kg load. Sled \( \operatorname{dog} A \) is pulling the load at 20 \( \mathrm{N}, 10^{\circ} \) north of east. Sled dog B is pulling the load at \( 55 \mathrm{~N}, 70^{\circ} \) north of east. Sled \( \operatorname{dog} C \)…
The \( L-R-C \) series circuit shown in (Figure 1) has an ac voltage source \( v_{\text {in }}(t)=V_{\text {in }} \cos (\omega t) \), where \( V_{\text {in }} \) is the input voltage amplitude and \( \omega \) is its angular frequency. The values of the resistance, inductance, and capacitance…
The \( L-R-C \) series circuit shown in (Figure 1) has an ac voltage source \( v_{\text {in }}(t)=V_{\text {in }} \cos (\omega t) \), where \( V_{\text {in }} \) is the input voltage amplitude and \( \omega \) is its angular frequency. The values of the resistance, inductance, and capacitance…
The \( L-R-C \) series circuit shown in (Figure 1) has an ac voltage source \( v_{\text {in }}(t)=V_{\text {in }} \cos (\omega t) \), where \( V_{\text {in }} \) is the input voltage amplitude and \( \omega \) is its angular frequency. The values of the resistance, inductance, and capacitance…
The \( L-R-C \) series circuit shown in (Figure 1) has an ac voltage source \( v_{\text {in }}(t)=V_{\text {in }} \cos (\omega t) \), where \( V_{\text {in }} \) is the input voltage amplitude and \( \omega \) is its angular frequency. The values of the resistance, inductance, and capacitance…
4. The mass of a density bottle is 20 g when empty and 45 g when full of water. When full of mercury its mass is 360 g . a) i. Calculate the mass of water that fills the density bottle. \[ \begin{aligned} m & =p \times r \\ & =20 \times 45 \\ & =900 \mathrm{~g} \end{aligned} \] ii. Calculate…
6. Calculate the net torque about the axle of the wheel shown below. Assume that a friction torque of 0.60 Nm opposes the motion.
Identify the direction of friction forces for the two bodies shown below. Both friction forces point to the left. Both friction forces point to the right. Friction force of the wheel points to the right and the friction force of the block points to the left. Friction force of the wheel points…
1. The power supply used in an electric vehicle contains 990 rechargeable cells each of electromotive force (e.m.f.) 1.2 V . The cells are contained in packs in which all the cells are in series with each other. The e.m.f. of each pack is 54 V . Calculate the number of packs in the power…
Identify the direction of friction forces for the two bodies shown below. Both friction forces point to the left. Both friction forces point to the right. Friction force of the wheel points to the right and the friction force of the block points to the left. Friction force of the wheel points…
Identify the direction of friction forces for the two bodies shown below. Both friction forces point to the left. Both friction forces point to the right. Friction force of the wheel points to the right and the friction force of the block points to the left. Friction force of the wheel points…
Identify the direction of friction forces for the two bodies shown below. Both friction forces point to the left. Both friction forces point to the right. Friction force of the wheel points to the right and the friction force of the block points to the left. Friction force of the wheel points…
Identify the direction of friction forces for the two bodies shown below. Both friction forces point to the left. Both friction forces point to the right. Friction force of the wheel points to the right and the friction force of the block points to the left. Friction force of the wheel points…
(iii) Rate of photon emission: \[ \mathrm{I} \frac{d N}{d t}=\frac{\lambda P}{h c} \] Substitute \( \lambda=9.34 \mu \mathrm{~m}, \mathrm{P}=1.474 \times 10^{-5} \mathrm{~W}, \mathrm{~h} \) and c \[ \frac{d N}{d t}=6.9 \times 10^{14} \text { photons } / \mathrm{s} \]
ratio = \( \qquad \) 7 Identical cells and identical resistors are used to make the circuits shown. circuit 1 circuit 2 \( 2 \times R \alpha \) \( 4 \times 2 \) \( =8 \) In circuit 1, the ammeter reads 2.0A. What is the ammeter reading in circuit \( 2 ? \) A 1.0 A B \( \quad 2.0 \mathrm{~A}…
An oxygen atom (mass 16 u ) moving at \( 733 \mathrm{~m} / \mathrm{s} \) at \( 30.0^{\circ} \) with respect to the \( \mathrm{i}^{\wedge} \) direction collides and sticks to an oxygen molecule (mass 32 u ) moving at \( 528 \mathrm{~m} / \mathrm{s} \) at \( 0.00^{\circ} \) with respect to the \(…
The reheat cycle from the previous problem will be augmented by three stages of feed preheating as shown in the figure. The boiler operates at a pressure of 900 psia, and the maximum allowable temperature is $860^\circ F$. Steam for the preheaters is available at pressures of 300, 90, and 30…
2. Figure 2 shows a stepped shaft ABCD fixed at A and loaded with a linearly distributed torque between B and C that varies from zero at B up to 2500 N mm/mm at C and a uniformly distributed torque of 2500 N mm/mm between C and D. AB is a tubular shaft of 100 mm outer diameter and 80 mm inner…
Score: 1/1 4. How should the amount of elastic potential energy when the spring is fully stretched compare to the amount of kinetic energy when the spring is relaxed? Assume we can ignore friction. Explain your reasoning. Hint: If you would like to include a bar chart or other diagram, click…
Problem 1 (43 pts): Oil is cooled in a concentric tube heat exchanger by a counterflow of cold water (Figure 3). The specific temperatures and heat capacity rates, along with average water and oil properties, as well as a fouling factor for the water side of the heat exchanger (there is no…
Consider the triangular prism shaped wire shown in the figure below where the triangular part is an equilateral triangle with sides $c = 8, 4mm$. The current runs along the length of the wire where $l = 4, 5m$ and the wire has cylindrical hole along its length with a cross sectional area of $A…
Problem 3 (40 points) – Medical Guidewire A guidewire is a thin, flexible wire used in interventional procedures to navigate through blood vessels and guide devices like catheters to target sites inside the body. Unlike open surgery, which requires large incisions, interventional procedures are…
A guidewire is a thin, flexible wire used in interventional procedures to navigate through blood vessels and guide devices like catheters to target sites inside the body. Unlike open surgery, which requires large incisions, interventional procedures are minimally invasive, using small entry…
Part 1: The edges conducting flat ribbon of resistivity $\rho = 10^{-7}\Omega \cdot m$ of thickness $t = 1$ mm, height $h = 20$ cm and length $l = 2.52$ m, are connected to a battery with a potential difference $V = 12.6$ mV. a) Determine in terms of the given parameters the superficial current…
Problem 4 (21 pts) Outside in the desert on a clear night, a mixture of water and ice at $0^\circ C$ (273 K) is poured into a pan on the ground. The pan is 1.2m long in the direction of the wind (and 0.5m wide). The outside air temperature is $8^\circ C$ (281 K); this is $T_\infty$ for…
Problem 8 (10 points) A bar with two segments AC and CB each have a cross section of an equilateral triangular. The dimensions are as follows: Segment AC has sides $a_{AC}$ = 60 mm and length $L_{AC}$ = 2.5 m. Segment CB has sides $a_{CB}$ = 45 mm and length $L_{CB}$ = 1.5 m. The bar has an…
Learning Goal: To understand Newton's 1st law Newton's Principia states this first law of motion: An object subject to no net force maintains its state of motion, either at rest or at constant speed in a right line. This law may be restated as follows: If the sum of all forces acting on an…
Three resistors $R_1 = 84.3 \Omega$, $R_2 = 24.6 \Omega$, $R_3 = 70.0 \Omega$, and two batteries $\mathcal{E}_1 = 40.0 V$, and $\mathcal{E}_2 = 355 V$ are connected as shown in the diagram below. $R_1$ $R_2$ $R_3$ $\mathcal{E}_1$ $\mathcal{E}_2$ (a) What current flows through $R_1$, $R_2$, and…
QUESTION 3 [26] In the steam cycle shown below, the steam leaves the boiler at a pressure of 1.6-MPa and 300°C and expands isentropically to a pressure of 7-kPa in a turbine. It is then condensed at this pressure and passes without undercooling to the hot well. Five percent of the steam flow is…
MW 18 for Lecture 28 1. One side of a 2-m-high and 3-m-wide vertical plate at 80°C is to be cooled by attaching aluminum fins ($$k=237$$ W/mK) of rectangular profile in an environment at 35°C. The fins are 2 cm long, 0.3 cm thick, and 0.4 cm apart. The heat transfer coefficient between the fins…
When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, $\vec{F_g}$, is supported by the force $\vec{n}$ exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in…
The engine hoist is used to support the 200 kg engine. (Figure 1) Figure < 1 of 1 > Part A Determine the magnitude of the force acting in the hydraulic cylinder $AB$. Express your answer to three significant figures and include the appropriate units. $F_{AB}$ = Value Units Submit Request…
A steam generating station operates on a Rankine cycle with superheat. The boiler tubes are restricted to a maximum pressure of 100 psia; cooling water is available at 120°F. The condenser is designed for a temperature difference of 30°F, so the cycle drop temperature is 150°F. The superheater…
37. The following diagram shows the forces acting on the thigh of a person running. Note: this diagram is for illustrative purposes only; it is not a complete free body diagram. The directions of the forces are shown on the diagram, together with their magnitudes. In addition to the forces…
In (Figure 1), set $P_1 = 8 \text{ kN}$ and $P_2 = 18 \text{ kN}$. Part A Determine the force in member $AB$, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression…
Question 13 (5 points) An electrically neutral conducting object has a hollow cavity inside it. Inside the cavity, but not touching the conductor, is a charge of $+10 \mu C$. There are no other charges in the vicinity. Which statement(s) about the conductor are correct once electrostatic…
Revisiting the strut problem, suppose that in addition to the mass-spring-damper system of the strut, the vehicle also gains some flexibility due to the tire rubber material (modelled as tyre rubber spring constant ($k_t$). Passenger + Vehicle load (M) M u(t) $k_s$ $c_s$ Wheel…
SORU 4 (25 P): ) Fermantasyon ile etil alkol üretiminde CO$_{2}$ gazı da yan ürün olarak çıkmakta ve 0.01 mol kesrinde alkol buharı içermektedir. Alkol 1.5 in.'lik seramik Intalox eğerleri ile doldurulmuş bir kolonda suya absorplanarak CO$_{2}$'den ayrılmak istenmektedir. Absorpsiyonun 40°C ve…
5 @3 m = 15 m 4 @4m = 16 m 1. [35%] Pada Gambar 1 ditunjukkan sebuah struktur truss yang diberi beban W = 150 N. A B M a. Dengan inspeksi, tentukan batang manakah yang merupakan batang dengan gaya nol? C N D E O b. Hitunglah reaksi pada tumpuan L dan V! F G Q P c. Hitunglah gaya batang AB, AC,…
In the circuit shown below $\mathcal{E}$ = 71.0 V, $R_5$ = 4.00 $\Omega$, $R_3$ = 2.00 $\Omega$, $R_2$ = 2.20 $\Omega$, $I_5$ = 9.80 A, $I_4$ = 6.50 A, and $I_1$ = 13.3 A. Find the current through $R_2$ and $R_3$, and the values of the resistors $R_1$ and $R_4$. $I_2$ = 6.70 X Based on the…
Question 8 (5 points) Saved An electrically neutral conducting object has a hollow cavity, but not touching the conductor, is a charge of $+10 \mu C$ charges in the vicinity. Which statement(s) about the conductor when electrostatic equilibrium has been reached? Select all that apply. Both…
Question 3: [20 marks] A simply-supported beam is loaded as shown. The cross-section of this beam is also shown. Your assistant has determined that the centroid of the cross-section is located 119.4 mm up from the base as shown below, and she has also determined that the second area moment…
1. Starting from rest, a particle moving in a straight line has an acceleration of $a = (2t^2 - 10) \text{ m/s}^2$, where t is in seconds. What is the particle's velocity when $t = 6 \text{ s}$, and what is its position when $t = 10 \text{ s}$? 2. The acceleration of a rocket traveling upward…
Consider a long solid bar whose thermal conductivity is $k = 5 W/m \cdot K$ and whose cross section is given in the figure. The top surface of the bar is maintained at $50 \degree C$ while the bottom surface is maintained at $120 \degree C$. The left surface is insulated and the remaining three…
Take $w = 720 N/m$. (Figure 1) Figure 1 of 1 200 N/m 2.5 m 3 m 6 m Part A Determine the normal force at a section passing through point D of the two-member frame. Express your answer to three significant figures and include the appropriate units. $N_D=$ Value Units Submit Request Answer Part…
Two long parallel wires separated by the hypotenuse of a right triangle with equal sides (isosceles) $d$ as shown in the Figure below. If each carry a current $I$ with the directions shown, using Ampere's Law, find the direction and the magnitude of the magnetic field at point…
Question 3 part 1 of 1 10 points A neutral metal ball is suspended by a string. A positively charged insulating rod is placed near the ball, which is observed to be attracted to the rod. This is because 1. the string is not a perfect insulator. 2. the number of electrons in the ball is greater…
Figure 4 of 4 The tractor shovel shown (Figure 4) carries a 510 kg load that has its center of mass at H. The shovel's dimensions are: $a = 54.0 \text{ mm}$, $b = 216 \text{ mm}$, $c = 324 \text{ mm}$, $d = 108 \text{ mm}$, and $e = 378 \text{ mm}$. Find the reaction force of the pin at E on…
The tee shape shown is used as a short post to support a load P. The load P is applied at a distance of 6 in. from the surface of the flange, as shown. The tension and compression normal stresses in the post must be limited to 1120 psi and 660 psi, respectively. Assume L = 22 in, a = 6 in,…
3. A jet aircraft is making a level, 2.5 km radius turn to the left at a speed of 650 km/hr. The rotor of the turbojet engine has a mass of 200 kg, a radius of gyration of 0.25 m and rotates at 15000 revolutions per minute clockwise as viewed from the front of the airplane. Calculate the…
Exercise: You are to determine the maximum flow ($m^3/s$) the pump will generate for pumping water from the lake to the truck by using a 50-mm-diameter pipe of inner diameter 50 mm .The pipe is made of galvanized iron and its total length is 50 m. The pump performance curve is available from…
Question B.2 For a system with $m=10$ kg, $k=1000$ N/m, its equations of motion have been derived as $2m\ddot{x_1} + 4kx_1 - kx_2 = f_1(t)$ $m\ddot{x_2} - kx_1 + 4kx_2 = f_2(t)$ (1) Find the natural frequencies of the system. (2) Determine the associated mode shapes. (3) Obtain the free…
Question 2 [10] A simply supported wooden beam with a rectangular cross section (as shown in the figure) spans a length L and is oriented such that its longitudinal axis lies horizontally. The cross section is inclined at an angle $\alpha$ from the horizontal. The beam is subjected to a…
3.1 Bazola is a concrete manufacture based in Cape Town. The company is using the ball mill to crush the stones and conveyor belt to transport the crushed materials. What are the main problems this equipment will encounter in the long run and what could be the solution. Use the table below when…
Three very long, parallel wires (a small portion of each is shown in the drawing) are resting on a flat surface. The distance between wire B, which has a 15 mA current to the left, and its neighbors is 0.0015 m. Wire A carries a 10 mA current toward the right; and wire C carries a 5 mA current…
The route followed by a hiker consists of three displacement vectors $\vec{A}$, $\vec{B}$, and $\vec{C}$. Vector $\vec{A}$ is along a measured trail and is 2770 m in a direction $26.0^\circ$ north of east. Vector $\vec{B}$ is not along a measured trail, but the hiker uses a compass and knows…
9) Now start with the wire loop on the far left side of the animation. Slowly and steadily move it horizontally all the way to the right side of the animation passing over the green wire. Try to move the wire loop at a constant speed all the way accross. (For this part you may want to start…
Which of the following is the basis of the current standard for the meter? The meter is defined in terms of the standard inch so that $2.54$ cm is exactly $1$ inch. The meter is defined as the distance between precise scratch marks on a certain platinum-iridium bar that is kept under specified…
Course Contents » Homework 9 » 11.50 - Archimedes' Principle Exit LON-CAPA Timer Notes Evaluate Feedback Print Info Scurrilous con artists have been known to represent gold-plated tungsten ingots as pure gold and sell them to the greedy at prices much below gold value but deservedly far above…
Two structural members A and B are bolted to a bracket as shown. Knowing that both members are in compression and that the force is $P = 10 \text{ kN}$ in member A and $Q = 25 \text{ kN}$ in member B, determine by trigonometry the magnitude and direction of the resultant of the forces applied…
Question 2 2.1 The locomotive in one of the Mpumalanga coal mine transports 120 carriages in a day from 08h00 to 17h00. On the 10th June 2025, maintenance audit was conducted to assess the one day performance of this equipment and the following outcomes were reported: System average…
Question 4 1 pts The two cables shown below, AC and BC, are connected together at C. They are loaded by the two forces P and Q, as shown. Assume: P = 360 N. 600 mm A B 250 mm P 3 4 C Q = 480 N ===== Draw a Full and Complete Free Body Diagram that can be used to solve for the unknown forces in…
Chapter 18 5. Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of $-$. Sphere B carries a charge of $-$. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Last,…
The figures below show the cross-sections of two aluminum bars that are used as compression members, each with an effective length of $L_e = 3$ m and $E = 72$ GPa. (a) Find the wall thickness of the hollow square bar such that the bars have the same cross-sectional area (4 points) (b) Find the…
A long cylinder (surface 1) with a diameter of 0.05 m sits inside of a long tube; the outer tube is made up of two parts, creating 3 total surfaces. The plate at the bottom (surface 2) has a width of 0.14142 m (it's the diameter of the outside tube divided by the square root of two). The top…
A plastic strip, 0.55 m wide and weighing 450 g, moves between two layers of paint. It is sandwiched between two plates with paint layer thicknesses of 4 mm on side A and 6 mm on side B. A force P is applied to move the strip at a constant speed of 4.5 mm/s. The paint has a dynamic viscosity of…
MEE444 HOMEWORK # 16 25 MAY 2025 In a highway expansion joints at a distance of 13.73 m apart cause a series of impulses at equal intervals to effect cars traveling at a constant speed. Consider these joints as shown in the figure. Assume that a car in HW 15 has a up and down natural frequency…
5. The simply supported beam shown in Figure supports a uniformly distributed load of $w = 4.5 \text{ kN/m}$ between supports A and B and a concentrated load of $P = 3.5 \text{ kN}$ at end C. The cross-sectional dimensions of the beam shown in Figure. Using $L = 3.6 \text{ m}$, $x_K = 0.6…
1. If $\Theta = 60^\circ$ and F = 450 N, determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis 2. If the magnitude of the resultant force is to be 500 N, directed along the positive y-axis, determine the magnitude of force F and its…
Q3:A ball bearing designated as 6214 runs at N=900 rpm. Co=45 kN; C= 60,5 kN. Radial force and axial force acting on the ball bearing is Fr=4,2 kN and Fa=3,4 kN, respectivelly. Find the life of bearing in terms of number of revolution and hours. $F= X Fr + Y Fa$ $L=(\frac{C}{F})^E$;…
The simply supported beam shown supports a uniformly distributed load of $w = 40$ kN/m. Assume $x_H = 1.6$ m, $a = 3.7$ m, $b = 5.9$ m, $x_K = 2.5$ m. The cross-sectional dimensions of the beam are $b_f = 270$ mm, $t_f = 22$ mm, $d = 525$ mm, $t_w = 14$ mm, and $y_H = 120$ mm. Determine the…
Problem 6 In Figure, assume that $R1 = 12 \Omega$, $R2 = 15 \Omega$ $R3 = 5 \Omega$, $C = 250 \mu F$ and $= 9 V$. The battery has an internal resistance of $r = 3 \Omega$. Suppose that the switch has been closed for a length of time sufficiently long for the capacitor to become fully…
Example 4.16 (1 of 3) The structural member is subjected to a couple moment M and forces $F_1$ and $F_2$ in Fig. 4–39a. Replace this system by an equivalent resultant force and couple moment acting at its base, point O. SOLUTION (VECTOR ANALYSIS) The three-dimensional aspects of the problem can…
74. $\theta$ L m m d Students use a pith ball electroscope, shown in the figure, consisting of two identical and equally charged pith balls of mass m hanging from strings of equal length L and negligible mass. The pith balls are a distance d apart, and the strings make an angle $\theta$.…
A loop of wire was bent into the shape shown below. Two arcs connected by radial wires. If the angle $\theta$ is in units of radians, what is the magnitude and the direction of the magnetic field at point C. I $R_2$ I I $R_1$ $\theta$ C Lütfen birini seçin: a. $B = \frac{\mu_0 I}{4\pi} \theta…
When describing a thermodynamic system, which of the following is a good description of "internal energy"? Internal energy is the same as thermal energy, meaning the energy due to randomly directed microscopic motion. Internal energy is the energy the system has when it is one part of a larger…
*3.86 Water flows from a large tank and through a pipe of variable area as shown in Fig. 3.86. The area of the pipe is given by $A = A_0[1 - x(1 - x/\ell)/2\ell]$, where $A_0$ is the area at the beginning ($x = 0$) and end ($x = \ell$) of the pipe. Plot graphs of the pressure within the pipe as…
The diver leaves the platform with an initial upward speed of 2.8 m/s. A stationary camera on the ground is programmed to track the diver throughout the dive by rotating the lens to keep the diver centered in the captured image. State the values of $\dot{\theta}$ and $\ddot{\theta}$ at the…
The reheat cycle from the previous problem will be augmented by three stages of feed preheating as shown in the figure. The boiler operates at a pressure of 900 psia, and the maximum allowable temperature is $860^\circ F$. Steam for the preheaters is available at pressures of 300, 90, and 30…
2. Figure 2 shows a stepped shaft ABCD fixed at A and loaded with a linearly distributed torque between B and C that varies from zero at B up to 2500 N mm/mm at C and a uniformly distributed torque of 2500 N mm/mm between C and D. AB is a tubular shaft of 100 mm outer diameter and 80 mm inner…
Score: 1/1 4. How should the amount of elastic potential energy when the spring is fully stretched compare to the amount of kinetic energy when the spring is relaxed? Assume we can ignore friction. Explain your reasoning. Hint: If you would like to include a bar chart or other diagram, click…
Problem 1 (43 pts): Oil is cooled in a concentric tube heat exchanger by a counterflow of cold water (Figure 3). The specific temperatures and heat capacity rates, along with average water and oil properties, as well as a fouling factor for the water side of the heat exchanger (there is no…
Consider the triangular prism shaped wire shown in the figure below where the triangular part is an equilateral triangle with sides $c = 8, 4mm$. The current runs along the length of the wire where $l = 4, 5m$ and the wire has cylindrical hole along its length with a cross sectional area of $A…
Problem 3 (40 points) – Medical Guidewire A guidewire is a thin, flexible wire used in interventional procedures to navigate through blood vessels and guide devices like catheters to target sites inside the body. Unlike open surgery, which requires large incisions, interventional procedures are…
A guidewire is a thin, flexible wire used in interventional procedures to navigate through blood vessels and guide devices like catheters to target sites inside the body. Unlike open surgery, which requires large incisions, interventional procedures are minimally invasive, using small entry…
Part 1: The edges conducting flat ribbon of resistivity $\rho = 10^{-7}\Omega \cdot m$ of thickness $t = 1$ mm, height $h = 20$ cm and length $l = 2.52$ m, are connected to a battery with a potential difference $V = 12.6$ mV. a) Determine in terms of the given parameters the superficial current…
Problem 4 (21 pts) Outside in the desert on a clear night, a mixture of water and ice at $0^\circ C$ (273 K) is poured into a pan on the ground. The pan is 1.2m long in the direction of the wind (and 0.5m wide). The outside air temperature is $8^\circ C$ (281 K); this is $T_\infty$ for…
Problem 8 (10 points) A bar with two segments AC and CB each have a cross section of an equilateral triangular. The dimensions are as follows: Segment AC has sides $a_{AC}$ = 60 mm and length $L_{AC}$ = 2.5 m. Segment CB has sides $a_{CB}$ = 45 mm and length $L_{CB}$ = 1.5 m. The bar has an…
Learning Goal: To understand Newton's 1st law Newton's Principia states this first law of motion: An object subject to no net force maintains its state of motion, either at rest or at constant speed in a right line. This law may be restated as follows: If the sum of all forces acting on an…
Three resistors $R_1 = 84.3 \Omega$, $R_2 = 24.6 \Omega$, $R_3 = 70.0 \Omega$, and two batteries $\mathcal{E}_1 = 40.0 V$, and $\mathcal{E}_2 = 355 V$ are connected as shown in the diagram below. $R_1$ $R_2$ $R_3$ $\mathcal{E}_1$ $\mathcal{E}_2$ (a) What current flows through $R_1$, $R_2$, and…
QUESTION 3 [26] In the steam cycle shown below, the steam leaves the boiler at a pressure of 1.6-MPa and 300°C and expands isentropically to a pressure of 7-kPa in a turbine. It is then condensed at this pressure and passes without undercooling to the hot well. Five percent of the steam flow is…
MW 18 for Lecture 28 1. One side of a 2-m-high and 3-m-wide vertical plate at 80°C is to be cooled by attaching aluminum fins ($$k=237$$ W/mK) of rectangular profile in an environment at 35°C. The fins are 2 cm long, 0.3 cm thick, and 0.4 cm apart. The heat transfer coefficient between the fins…
When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, $\vec{F_g}$, is supported by the force $\vec{n}$ exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in…
The engine hoist is used to support the 200 kg engine. (Figure 1) Figure < 1 of 1 > Part A Determine the magnitude of the force acting in the hydraulic cylinder $AB$. Express your answer to three significant figures and include the appropriate units. $F_{AB}$ = Value Units Submit Request…
A steam generating station operates on a Rankine cycle with superheat. The boiler tubes are restricted to a maximum pressure of 100 psia; cooling water is available at 120°F. The condenser is designed for a temperature difference of 30°F, so the cycle drop temperature is 150°F. The superheater…
37. The following diagram shows the forces acting on the thigh of a person running. Note: this diagram is for illustrative purposes only; it is not a complete free body diagram. The directions of the forces are shown on the diagram, together with their magnitudes. In addition to the forces…
In (Figure 1), set $P_1 = 8 \text{ kN}$ and $P_2 = 18 \text{ kN}$. Part A Determine the force in member $AB$, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression…
Question 13 (5 points) An electrically neutral conducting object has a hollow cavity inside it. Inside the cavity, but not touching the conductor, is a charge of $+10 \mu C$. There are no other charges in the vicinity. Which statement(s) about the conductor are correct once electrostatic…
Revisiting the strut problem, suppose that in addition to the mass-spring-damper system of the strut, the vehicle also gains some flexibility due to the tire rubber material (modelled as tyre rubber spring constant ($k_t$). Passenger + Vehicle load (M) M u(t) $k_s$ $c_s$ Wheel…
SORU 4 (25 P): ) Fermantasyon ile etil alkol üretiminde CO$_{2}$ gazı da yan ürün olarak çıkmakta ve 0.01 mol kesrinde alkol buharı içermektedir. Alkol 1.5 in.'lik seramik Intalox eğerleri ile doldurulmuş bir kolonda suya absorplanarak CO$_{2}$'den ayrılmak istenmektedir. Absorpsiyonun 40°C ve…
5 @3 m = 15 m 4 @4m = 16 m 1. [35%] Pada Gambar 1 ditunjukkan sebuah struktur truss yang diberi beban W = 150 N. A B M a. Dengan inspeksi, tentukan batang manakah yang merupakan batang dengan gaya nol? C N D E O b. Hitunglah reaksi pada tumpuan L dan V! F G Q P c. Hitunglah gaya batang AB, AC,…
In the circuit shown below $\mathcal{E}$ = 71.0 V, $R_5$ = 4.00 $\Omega$, $R_3$ = 2.00 $\Omega$, $R_2$ = 2.20 $\Omega$, $I_5$ = 9.80 A, $I_4$ = 6.50 A, and $I_1$ = 13.3 A. Find the current through $R_2$ and $R_3$, and the values of the resistors $R_1$ and $R_4$. $I_2$ = 6.70 X Based on the…
Question 8 (5 points) Saved An electrically neutral conducting object has a hollow cavity, but not touching the conductor, is a charge of $+10 \mu C$ charges in the vicinity. Which statement(s) about the conductor when electrostatic equilibrium has been reached? Select all that apply. Both…
Question 3: [20 marks] A simply-supported beam is loaded as shown. The cross-section of this beam is also shown. Your assistant has determined that the centroid of the cross-section is located 119.4 mm up from the base as shown below, and she has also determined that the second area moment…
1. Starting from rest, a particle moving in a straight line has an acceleration of $a = (2t^2 - 10) \text{ m/s}^2$, where t is in seconds. What is the particle's velocity when $t = 6 \text{ s}$, and what is its position when $t = 10 \text{ s}$? 2. The acceleration of a rocket traveling upward…
Consider a long solid bar whose thermal conductivity is $k = 5 W/m \cdot K$ and whose cross section is given in the figure. The top surface of the bar is maintained at $50 \degree C$ while the bottom surface is maintained at $120 \degree C$. The left surface is insulated and the remaining three…
Take $w = 720 N/m$. (Figure 1) Figure 1 of 1 200 N/m 2.5 m 3 m 6 m Part A Determine the normal force at a section passing through point D of the two-member frame. Express your answer to three significant figures and include the appropriate units. $N_D=$ Value Units Submit Request Answer Part…
Two long parallel wires separated by the hypotenuse of a right triangle with equal sides (isosceles) $d$ as shown in the Figure below. If each carry a current $I$ with the directions shown, using Ampere's Law, find the direction and the magnitude of the magnetic field at point…
Question 3 part 1 of 1 10 points A neutral metal ball is suspended by a string. A positively charged insulating rod is placed near the ball, which is observed to be attracted to the rod. This is because 1. the string is not a perfect insulator. 2. the number of electrons in the ball is greater…
Figure 4 of 4 The tractor shovel shown (Figure 4) carries a 510 kg load that has its center of mass at H. The shovel's dimensions are: $a = 54.0 \text{ mm}$, $b = 216 \text{ mm}$, $c = 324 \text{ mm}$, $d = 108 \text{ mm}$, and $e = 378 \text{ mm}$. Find the reaction force of the pin at E on…
The tee shape shown is used as a short post to support a load P. The load P is applied at a distance of 6 in. from the surface of the flange, as shown. The tension and compression normal stresses in the post must be limited to 1120 psi and 660 psi, respectively. Assume L = 22 in, a = 6 in,…
3. A jet aircraft is making a level, 2.5 km radius turn to the left at a speed of 650 km/hr. The rotor of the turbojet engine has a mass of 200 kg, a radius of gyration of 0.25 m and rotates at 15000 revolutions per minute clockwise as viewed from the front of the airplane. Calculate the…
Exercise: You are to determine the maximum flow ($m^3/s$) the pump will generate for pumping water from the lake to the truck by using a 50-mm-diameter pipe of inner diameter 50 mm .The pipe is made of galvanized iron and its total length is 50 m. The pump performance curve is available from…
Question B.2 For a system with $m=10$ kg, $k=1000$ N/m, its equations of motion have been derived as $2m\ddot{x_1} + 4kx_1 - kx_2 = f_1(t)$ $m\ddot{x_2} - kx_1 + 4kx_2 = f_2(t)$ (1) Find the natural frequencies of the system. (2) Determine the associated mode shapes. (3) Obtain the free…
Question 2 [10] A simply supported wooden beam with a rectangular cross section (as shown in the figure) spans a length L and is oriented such that its longitudinal axis lies horizontally. The cross section is inclined at an angle $\alpha$ from the horizontal. The beam is subjected to a…
3.1 Bazola is a concrete manufacture based in Cape Town. The company is using the ball mill to crush the stones and conveyor belt to transport the crushed materials. What are the main problems this equipment will encounter in the long run and what could be the solution. Use the table below when…
Three very long, parallel wires (a small portion of each is shown in the drawing) are resting on a flat surface. The distance between wire B, which has a 15 mA current to the left, and its neighbors is 0.0015 m. Wire A carries a 10 mA current toward the right; and wire C carries a 5 mA current…
The route followed by a hiker consists of three displacement vectors $\vec{A}$, $\vec{B}$, and $\vec{C}$. Vector $\vec{A}$ is along a measured trail and is 2770 m in a direction $26.0^\circ$ north of east. Vector $\vec{B}$ is not along a measured trail, but the hiker uses a compass and knows…
9) Now start with the wire loop on the far left side of the animation. Slowly and steadily move it horizontally all the way to the right side of the animation passing over the green wire. Try to move the wire loop at a constant speed all the way accross. (For this part you may want to start…
Which of the following is the basis of the current standard for the meter? The meter is defined in terms of the standard inch so that $2.54$ cm is exactly $1$ inch. The meter is defined as the distance between precise scratch marks on a certain platinum-iridium bar that is kept under specified…
Course Contents » Homework 9 » 11.50 - Archimedes' Principle Exit LON-CAPA Timer Notes Evaluate Feedback Print Info Scurrilous con artists have been known to represent gold-plated tungsten ingots as pure gold and sell them to the greedy at prices much below gold value but deservedly far above…
Two structural members A and B are bolted to a bracket as shown. Knowing that both members are in compression and that the force is $P = 10 \text{ kN}$ in member A and $Q = 25 \text{ kN}$ in member B, determine by trigonometry the magnitude and direction of the resultant of the forces applied…
Question 2 2.1 The locomotive in one of the Mpumalanga coal mine transports 120 carriages in a day from 08h00 to 17h00. On the 10th June 2025, maintenance audit was conducted to assess the one day performance of this equipment and the following outcomes were reported: System average…
Question 4 1 pts The two cables shown below, AC and BC, are connected together at C. They are loaded by the two forces P and Q, as shown. Assume: P = 360 N. 600 mm A B 250 mm P 3 4 C Q = 480 N ===== Draw a Full and Complete Free Body Diagram that can be used to solve for the unknown forces in…
Chapter 18 5. Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of $-$. Sphere B carries a charge of $-$. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Last,…
The figures below show the cross-sections of two aluminum bars that are used as compression members, each with an effective length of $L_e = 3$ m and $E = 72$ GPa. (a) Find the wall thickness of the hollow square bar such that the bars have the same cross-sectional area (4 points) (b) Find the…
A long cylinder (surface 1) with a diameter of 0.05 m sits inside of a long tube; the outer tube is made up of two parts, creating 3 total surfaces. The plate at the bottom (surface 2) has a width of 0.14142 m (it's the diameter of the outside tube divided by the square root of two). The top…
A plastic strip, 0.55 m wide and weighing 450 g, moves between two layers of paint. It is sandwiched between two plates with paint layer thicknesses of 4 mm on side A and 6 mm on side B. A force P is applied to move the strip at a constant speed of 4.5 mm/s. The paint has a dynamic viscosity of…
MEE444 HOMEWORK # 16 25 MAY 2025 In a highway expansion joints at a distance of 13.73 m apart cause a series of impulses at equal intervals to effect cars traveling at a constant speed. Consider these joints as shown in the figure. Assume that a car in HW 15 has a up and down natural frequency…
5. The simply supported beam shown in Figure supports a uniformly distributed load of $w = 4.5 \text{ kN/m}$ between supports A and B and a concentrated load of $P = 3.5 \text{ kN}$ at end C. The cross-sectional dimensions of the beam shown in Figure. Using $L = 3.6 \text{ m}$, $x_K = 0.6…
1. If $\Theta = 60^\circ$ and F = 450 N, determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis 2. If the magnitude of the resultant force is to be 500 N, directed along the positive y-axis, determine the magnitude of force F and its…
Q3:A ball bearing designated as 6214 runs at N=900 rpm. Co=45 kN; C= 60,5 kN. Radial force and axial force acting on the ball bearing is Fr=4,2 kN and Fa=3,4 kN, respectivelly. Find the life of bearing in terms of number of revolution and hours. $F= X Fr + Y Fa$ $L=(\frac{C}{F})^E$;…
The simply supported beam shown supports a uniformly distributed load of $w = 40$ kN/m. Assume $x_H = 1.6$ m, $a = 3.7$ m, $b = 5.9$ m, $x_K = 2.5$ m. The cross-sectional dimensions of the beam are $b_f = 270$ mm, $t_f = 22$ mm, $d = 525$ mm, $t_w = 14$ mm, and $y_H = 120$ mm. Determine the…
Problem 6 In Figure, assume that $R1 = 12 \Omega$, $R2 = 15 \Omega$ $R3 = 5 \Omega$, $C = 250 \mu F$ and $= 9 V$. The battery has an internal resistance of $r = 3 \Omega$. Suppose that the switch has been closed for a length of time sufficiently long for the capacitor to become fully…
Example 4.16 (1 of 3) The structural member is subjected to a couple moment M and forces $F_1$ and $F_2$ in Fig. 4–39a. Replace this system by an equivalent resultant force and couple moment acting at its base, point O. SOLUTION (VECTOR ANALYSIS) The three-dimensional aspects of the problem can…
74. $\theta$ L m m d Students use a pith ball electroscope, shown in the figure, consisting of two identical and equally charged pith balls of mass m hanging from strings of equal length L and negligible mass. The pith balls are a distance d apart, and the strings make an angle $\theta$.…
A loop of wire was bent into the shape shown below. Two arcs connected by radial wires. If the angle $\theta$ is in units of radians, what is the magnitude and the direction of the magnetic field at point C. I $R_2$ I I $R_1$ $\theta$ C Lütfen birini seçin: a. $B = \frac{\mu_0 I}{4\pi} \theta…
When describing a thermodynamic system, which of the following is a good description of "internal energy"? Internal energy is the same as thermal energy, meaning the energy due to randomly directed microscopic motion. Internal energy is the energy the system has when it is one part of a larger…
*3.86 Water flows from a large tank and through a pipe of variable area as shown in Fig. 3.86. The area of the pipe is given by $A = A_0[1 - x(1 - x/\ell)/2\ell]$, where $A_0$ is the area at the beginning ($x = 0$) and end ($x = \ell$) of the pipe. Plot graphs of the pressure within the pipe as…
The diver leaves the platform with an initial upward speed of 2.8 m/s. A stationary camera on the ground is programmed to track the diver throughout the dive by rotating the lens to keep the diver centered in the captured image. State the values of $\dot{\theta}$ and $\ddot{\theta}$ at the…
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