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Physics 101 Mechanics
October 2024
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Physics 101 Mechanics Q&A Archive of October 7, 2024

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October 7 of 2024

PHYS 111L 6 NEWTON'S 2ND LAW Exercises 23. Two identical masspieces are held in the arrangement as illustrated below. The masspieces are then released. Predict their subsequent motions. Explain your answer. 24. Two identical masses are held at rest in the configuration as illustrated above. A…

Find the pressure at point \( A \) in cylinder of Figure 3 if rotated at 100 rpm and \( R=40 \mathrm{~cm} \). Find also the force at the bottom of the cylinder. Figure 3 Figure 4

4-54. Determine the moment of the force F about the diagonal AF of the rectangular block. Express the result as a Cartesian vector. 4-55. Determine the moment of the force F about the diagonal OD of the rectangular block. Express the result as a Cartesian vector.

PHYS 111 L 6 NEWTON'S 2ND LAW 19. Again consider the situation where \( m_{1} \) is given an initial downward tug. Predict how the tension in the string compares (larger, smaller, same) to the gravitational force on \( m_{1} \) while it is moving down? How does it compare while moving up?

Tugas (Metode Biseksi) Use bisection to determine the drag coefficient needed so that an \( 82-\mathrm{kg} \) parachutist has a velocity of \( 36 \mathrm{~m} / \mathrm{s} \) after 4 s of free fall. Note: The acceleration of gravity is \( 9.81 \mathrm{~m} / \mathrm{s}^{2} \). Start with initial…

20. Is it possible to see a virtual image? A) No, since the rays that seem to emanate from a virtual image do not in fact emanate from the image. B) No, since virtual images do not really exist. C) Yes, the rays that appear to emanate from a virtual image can be focused on the retina just like…

``` T_change = 10%Min. temperature difference b/w the working fluid and the air indoor_temp = -10:1:20; %indoor temp. range in Celcius outdoor_temp = - 20:1:10; %outdoor temp. range in Celcius COP = zeros(length(indoor_temp), length(outdoor_temp)); EnergySavingsPercent =…

4-53. Determine the moment of force ( mathbf{F} ) about an axis extending between ( O ) and ( A ). Express the result as a Cartesian vector.

a ball is thrown down at 6m/s from a window 12m high. find the velocity

Q1 (10 points) A mass, \( \mathrm{m}_{1}=10.0 \mathrm{~kg} \), is connected to the ceiling by a non-stretchable string wrapped around two massless, frictionless pulleys. The fixed pulley is attached to wedge with angle \( \theta=30^{\circ} \) relative to ground. The wedge is bolted to the…

Page 2 of 3 [1] the reaction at \( A \) [2] the horizontal reaction at \( B \) [3] total reaction at B [4] Find the smallest wind load q that would cause the structure to tip over (assume the leg of the billboard is no longer resting on the ground) PROBLEM 2. The cable shown in the figure…

Solve the following problems and show your complete solution. 1. Using the table below and the stratified sampling technique, compute the sample size using \( 2 \% \) margin of error for each hospital. Distribution of High Fever Patients of 5 Hospitals \begin{tabular}{|c|c|c|c|} \hline…

A boat of mass 10 tonnes drifting at \( 0,25 \mathrm{~m} / \mathrm{s} \) is stopped when the \( 100-\mathrm{m} \)-long tow-rope becomes taut. If the rope extends 2 m before the boat stops, calculate the maximum tension induced in the rope.

ABCD is arectangle. Forces of 8N, 4N 10N and 2N act alongg AB, CB, CD, AD respctively. FInd the resultant

SPEED A \( 1325-\mathrm{kg} \) car, C, moving north at \( 27.0 \mathrm{~m} / \mathrm{s} \), collides with a \( 2165-\mathrm{kg} \) car, D, moving east at \( 11.0 \mathrm{~m} / \mathrm{s} \). The collision causes the two cars to stick together. In what direction and with what speed do they move…

PROBLEM 2. The cable shown in the figure carries a uniformly distributed load \( w_{0}=60 \mathrm{~N} / \mathrm{m} \). If the tension in the cable will not exceed \( 8,500 \mathrm{~N} \), determine the following: [5] minimum tension in the cable [6] tension at point \( A \) of the cable [7]…

a box of mass 6kg is lowered vertically by a rope. find the force in the rope whe the box is lowered at an acceleration of 3m/s squared

A 5.00-kg package slides 2.80 [m] down a long ramp that is inclined at 24.0◦ below the horizontal. The coefficient of kinetic friction between the package and the ramp is µk = 0.310.

V Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at \( 5.00 \mathrm{~m} / \mathrm{s} \) as in Figure P6.40a. After…

C) the time variation of the magnetic flux. D) current divided by time. 17. An electric generator transforms A) electrical energy into mechanical energy. B) mechanical energy into electrical energy. C) direct current into alternating current. D) alternating current into direct current. 18. If…

a ball is thrown vertically upwards with a velocity of 20m/s. when does it come to a stop

The vapor pressure of mercury at \( 25^{\circ} \mathrm{C} \) is 1.85 mmHg . Calculate the vapor pressure in atm and torr. Round each of your answers to 3 significant digits. \( \square \) atm \( \times 10^{\square} \) torr

PROBLEM A car with mass \( 1.50 \times 10^{3} \mathrm{~kg} \) traveling east at a speed of \( 25.0 \mathrm{~m} / \mathrm{s} \) collides at an intersection with a \( 2.50 \times 10^{3}-\mathrm{kg} \) pickup truck traveling north at a speed of \( 20.0 \mathrm{~m} / \mathrm{s} \), as shown in…

Exercise: Use a string, computer cable or a shoelace, to suspend an object that is compact compared to the length of the suspension. The object might be a water bottle, power supply for the laptop, shoe, etc. Make the object swing and measure the period of its swinging T. Further measure the…

22. The principal refraction of light by the eye occurs at the A) cornea. B) lens. C) retina. D) iris. 23. In which of the following ways is a camera different from the human eyc? A) The camera always forms an inverted image, the eye does not. B) The camera always forms a real image, the eye…

A \( 40-\mathrm{mm} \)-diameter rod of a certain material is \( 1,2 \mathrm{~m} \) long and has a collar fitted to one end. The rod is held vertically and a weight of 20 kN is gradually lowered onto the collar, producing an extension of \( 0,253 \mathrm{~mm} \). Calculate the height from which…

3. Examine the suite of resistivity and IP logs for the wells at this site (Figures 2 b and 2 c ). Note, the \( \log \) scale for resistivity is from \( 10^{0} \) (1) to \( 10^{3.5} \mathrm{ohm}-\mathrm{m} \), and the arithmetic scale for IP is from 8 to \( 120 \mathrm{mV} / \mathrm{V} \). a)…

a dog barks in the sun when he sees a squirelle and bolts after it. If the dog accelerates at 1,6m/s squared how far does he run in 3 seconds

A motorist is traveling at \( 20 \mathrm{~m} / \mathrm{s} \) when she sees that a traffic light 200 m ahead has just turned red. She knows that this light stays red for 15 s , and she wants to reach the light just as it turns green again. It takes her 1.0 s to step on the brakes and begin…

A \( 40-\mathrm{mm} \)-diameter rod of a certain material is \( 1,2 \mathrm{~m} \) long and has a collar fitted to one end. The rod is held vertically and a weight of 20 kN is gradually lowered onto the collar, producing an extension of \( 0,253 \mathrm{~mm} \). Calculate the height from which…

An object of mass \( m \) falling near Earth's surface experiences a resistive force of \( F_{R}=-b v^{2} \), where \( b \) is a positive constant with units of \( \mathrm{N} \cdot \mathrm{s}^{2} / \mathrm{m}^{2} \) and \( v \) is in \( \mathrm{m} / \mathrm{s} \). What is the magnitude of the…

Q4) Bar \( A C \) supports two \( 400-\mathrm{N} \) loads as shown. Rollers at \( A \) and \( C \) rest against frictionless surfaces and a cable \( B D \) is attached at \( B \). Determine (a) the tension in cable \( B D,(b) \) the reaction at \( A,(c) \) the reaction at C.

a ship travels 200km to the south and then 400km to the west . What is the ship's displacement from its starting point

As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the 55 mph speed limit is too high to allow vehicles to stop in time in the fog;…

Q3) The spanner shown is used to rotate a shaft. A pin fits in a hole at \( A \), while a flat, frictionless surface rests against the shaft at \( B \). If a \( 300-\mathrm{N} \) force \( \mathbf{P} \) is exerted on the spanner at \( D \), find \( (a) \) the reaction at \( B,(b) \) the…

1.0 When an ideal gas is compressed adiabatically, work is done on it and its temperature increases; in an adiabatic expansion, the gas does work and its temperature drops. Adiabatic compression actually occur in the cylinder of a car, where the compression of the gas air mixture take place so…

Two joules of energy is suddenly induced in an aluminium bar 300 mm long and with a \( 40-\mathrm{mm} \)-square cross-section, by a compressive load. Calculate the maximum instantaneous stress induced in the bar and the magnitude of the suddenly applied load \( (E=70 \mathrm{GPa}) \).

(2) A basketball is bounced on the ground at Point \( A \) and rebounds with a velocity \( v_{A} \) of magnitude \( 2 \mathrm{~m} / \mathrm{s} \) as shown. Determine the radius of curvature of the trajectory described by the ball (a) at Point \( A \). (b) at the highest point of the…

Determine the view factors \( F_{13} \) and \( F_{23} \) between the rectangular surfaces shown below: \( \mathrm{F} 13=0.24 \) and \( \mathrm{F} 23=0.08 \) \( \mathrm{F} 13=0.28 \) and \( \mathrm{F} 23=0.04 \) \( F_{13}=0.19 \) and \( F_{23}=0.08 \) \( F_{13}=0.24 \) and \( F_{23}=0.04 \)

Two joules of energy is suddenly induced in an aluminium bar 300 mm long and with a \( 40-\mathrm{mm} \)-square cross-section, by a compressive load. Calculate the maximum instantaneous stress induced in the bar and the magnitude of the suddenly applied load \( (E=70 \mathrm{GPa}) \).

Consider the following figure. (If you need to use \( \infty \) or \( -\infty \), enter INFINITY or -INFINITY, respectively.) (a) (b) (a) Find the total electric field in \( \mathrm{N} / \mathrm{C} \) at \( x=1.00 \mathrm{~cm} \) in part (b) of the figure above given that \( q=1.00 \mu…

Q2) Photo P4.21 illustrates a person operating the pump mechanism of a portable water filter. If a vertical 4-lb force is exerted on the handle of the crank as modeled in Fig. P4.21, determine (a) the tension in link \( A B \), \( (b) \) the reaction at the plunger connection \( C \). Tmotiy…

A close coiled helical spring of mean coil,diameterf 40 mm is made of wire 5 mm dianheter. the modulus of rigidity of the wire material bding 88 \( \mathrm{kN} / \mathrm{mm}^{2} \). If the stress in the wire is nol to exceed \( 250 \mathrm{~N} / \mathrm{mm}^{2} \) when the spring is at its…

Consider the following figure. (If you need to use \( \infty 0 \) or \( -\infty \), enter INFINITY or -INFINITY, respectively.) (a) (b) (a) Find the total electric field in \( \mathrm{N} / \mathrm{C} \) at \( x=1.00 \mathrm{~cm} \) in part (b) of the figure above given that \( q=1.00 \mu…

A close coiled helical spring of mean coil, diametof 40 mm is made of wire 5 mm diameler. the modulus of rigidity of the wire material befing 88 \( \mathrm{kN} / \mathrm{mm}^{2} \). If the stress in the wire ig not to exceed \( 250 \mathrm{~N} / \mathrm{mm}^{2} \) when the spring is at its…

A student S pushes bookcase B across the floor to the right at constant speed. What's wrong with the free-body diagrams shown in the figure?

Exercise: For our swirled mass ( \( \mathrm{m}=4 \mathrm{~g}, \mathrm{r}=25 \mathrm{~cm} \), and 3 revolutions/s), calculate the magnitude of the angular momentum. How is the angular momentum oriented?

Consider the following figure. (If you need to use \( \infty 0 \) or \( -\infty \), enter INFINITY or -INFINITY, respectively.) (a) (b) (a) Find the total electric field in \( \mathrm{N} / \mathrm{C} \) at \( x=1.00 \mathrm{~cm} \) in part (b) of the figure above given that \( q=1.00 \mu…

A student S pushes bookcase B across the floor to the right at constant speed. What's wrong with the free-body diagrams shown in the figure? Two images, S and B are placed side by side.

5. The figure below shows four (4) Capacitors connected to a battery of 12 V . Calculate; (i) effective Capitance (ii) Charge on the \( 3.2 \mu \mathrm{~F} \) (iii) Potential difference across \( 5 \mu \mathrm{~F} \) (iv) The energy stored by \( 2 \mu \mathrm{~F} \)

A close coiled helical spring of mean coil diamptof 40 mm is made of wire 5 mm diameter, the modulus of rigidity of the wire materiel beling 88 \( \mathrm{kN} / \mathrm{mm}^{2} \). If the stress-in the wire is nol to axceed \( 250 \mathrm{~N} / \mathrm{mm}^{2} \) when the spring is at its…

A student S pushes bookcase B across the floor to the right at constant speed. What's wrong with the free-body diagrams shown in the figure? Two images, \( S \) and \( B \) are placed side by side.

Exercise: Find the position of the center of mass for the system of 3 masses positioned

A mass of 45 kg falls freely from a height of \( 2,5 \mathrm{~m} \) onto a collar fixed to the bottom end of a vertical steel rod. The rod is 20 mm in diameter and 8 m long. Calculate (a) the instantaneous stress induced in the rod; (b) the instantaneous elongation of the rod; and (c) the…

A flywheel has a diameter of 1.5 m , and mass of 800 kg . What torque in \( \mathrm{N}-\mathrm{m} \), is needed to produce an angular acceleration of 100 . revolutions per minute, per second? A. 225 C. 1158 B. 974 D. 2356

A student S pushes bookcase B across the floor to the right at constant speed. What's wrong with the free-body diagrams shown in the figure? Two images, \( S \) and \( B \) are placed side by side.

Two spherical shells have a common center. The inner shell has radius \( R_{1}=5.00 \mathrm{~cm} \) and charge \( q_{1}=+5.00 \times 10^{-6} \mathrm{C} \); the outer shell has radius \( R_{2}=15.0 \mathrm{~cm} \) and charge \( q_{2}=-7.00 \times 10^{-6} \mathrm{C} \). Both charges are spread…

A reagent mixture in a continuous pharmaceutical manufacturing process contains 10% (by weight) compound R. This mixture is subjected to a reaction step in which the conversion of R is 99%. To meet FDA specifications, the final product stream must contain 0.75% R. To achieve this goal, a…

Two spherical shells have a common center. The inner shell has radius \( R_{1}=5.00 \mathrm{~cm} \) and charge \( q_{1}=+5.00 \times 10^{-6} \mathrm{C} \); the outer shell has radius \( R_{2}=15.0 \mathrm{~cm} \) and charge \( q_{2}=-7.00 \times 10^{-6} \mathrm{C} \). Both charges are spread…

pressure transducer has an input range of 0 to 104 Pa and an output range of 4 to 20 mA at a standard ambient temperature of 20 °C. If the ambient temperature is increased to 30 °C, the range changes to 4.2 to 20.8 mA. Quantify this environmental effect. 3. A thermocouple used between 0…

Consider the system shown in the figure (Figure 1). Block \( A \) has weight \( w_{A} \) and block \( B \) has weight \( w_{B} \). Once block \( B \) is set into downward motion, it descends at a constant speed. Assume that the mass and friction of the pulley are negligible. ire 1 of 1 Part…

Two spherical shells have a common center. The inner shell has radius \( R_{1}=5.00 \mathrm{~cm} \) and charge \( q_{1}=+5.00 \times 10^{-6} \mathrm{C} \); the outer shell has radius \( R_{2}=15.0 \mathrm{~cm} \) and charge \( q_{2}=-7.00 \times 10^{-6} \mathrm{C} \). Both charges are spread…

Consider the system shown in the figure (Eigure 1). Block \( A \) has weight \( w_{A} \) and block \( B \) has weight \( w_{B} \). Once block \( B \) is set into downward motion, it descends at a constant speed. Assume that the mass and friction of the pulley are negligible. igure 1 of 1 Part…

5 of 5 View Available Hint(s) Review Constants \[ a_{\text {box }}=\mu_{s} g \] Submit Previous Answers Answer Requested Hint 4. Find the sum of horizontal forces on the board Hint 5. Find the acceleration of the board for large \( f \) In Hint 4 you found the net horizontal force on the…

College natural science

Revied Constants A small box of mass \( m_{1} \) is sitting on a board of mass \( m_{2} \) and length \( L \) (Figure 1). The board rests on affrictionless horizontal surface. The coefficient of static friction between the board and the box is \( \mu_{\mathrm{s}} \). The coefficient of kinetic…

Fxample 1 A 2 km pipeline of diameter 10 mm delievers vater at a flow rate of 0,001 litres persecond. What is the headlass from ond end of the pipe to the otaer if temperature of water is \( 20^{\circ} \mathrm{C} \).

A flywheel weighing 910 kg has a radius of gyration of 15.24 cm . The shaft journals are 30.48 cm In diameter and have a coefficient of friction of 0.06. After the whoel reaches 120 rpm , the driving force is withdrawn and the wheel slows to 60 rpm . Calculate the lost energy of the wheel?

Problem 2.6 A simple model for a continental mountain belt is the crustal compression model illustrated in Figure 2-6. A section of the continental crust of width \( w_{0} \) is compressed to a width \( w_{m b} \). The compression factor \( \beta \) is defined by \[ \beta=\frac{w_{0}}{w_{m…

Charge \( Q=+6.00 \mu \mathrm{C} \) is distributed uniformly over the volume of an insulating sphere that has radius \( R=6.00 \mathrm{~cm} \). What is the potential difference between the center of the sphere and the surface of the sphere? Express your answer with the appropriate…

MECHANICAL ENGINEERING REVIEW 18. The mean coil diameter of a helical-coil spring is 1 inch and a wire-diameter of \( 1 / 8 \) inch. Compute the curve correction factor of the spring. A. 1.1434 B. \( 1.1144^{\circ} \) C. 1.414 D. 1.124

Charge \( Q=+6.00 \mu \mathrm{C} \) is distributed uniformly over the volume of an insulating sphere that has radius \( R=6.00 \mathrm{~cm} \). What is the potential difference between the center of the sphere and the surface of the sphere? Express your answer with the appropriate…

What is the difference in the forms of Bemoullis equ \[ \begin{array}{l} P+\frac{1}{2} \rho v^{2}+P g h=k \\ \frac{P}{\rho g}+\frac{v^{2}}{2 g}+2 A=k \end{array} \]

A rocket of mass \( 4.89 \times 10^{5} \mathrm{~kg} \) is in flight near earth's surface. Its thrust is directed at an angle of \( 66.5^{\circ} \) above the horizontal and has a magnitude of \( 7.27 \times 10^{6} \mathrm{~N} \). Find the (a) magnitude and (b) direction of the rocket's…

TUTORIAL QUESTIONS: 9.1 An emf is induced in a conducting loop of wire 1.12 m long and resistance \( 3 \Omega \), as its shape is changed from a square to a circle. The change in shape occurs in 4.25 s and the local 0.105 T magnetic field is perpendicular to the plane of the loop. What is the…

ENGM 211 Statics 1. Determine the location of the center of gravity \( (\bar{x}, \bar{y}, \bar{z}) \) of the homogeneous bracket. Note the origin is in the middle center of the hole. Be sure to measure \( \tilde{x}, \tilde{y} \), and \( \tilde{z} \) for each segment from the origin applying the…

4:55 PM ? \( { }^{3 G},\left.\left\|\left.\right|^{4 G},\right\|\right|_{B / S} ^{10.0} \) 30 ror an arpirary nydrogen atom eigenstate (with \( Z \) arbitrary). Show that generally for this potential \[ \langle T\rangle=-\frac{1}{2}\langle V\rangle \] This is a special example of the Virial…

4:59 PM 29 \( \leftarrow \) With reference to crystals Tags + Solid state physics Assignments 1. With reference to crystals, state what do you mean by the terms: a) Crystal lattice b) Unit cell c) Single crystal d) Coordination number e) Packing factor f) Atomic radius 2. And calculate the…

A thin cylindrical steel drum, 10 mm thick, is subjected to an internal pressure of \( 1,5 \mathrm{MPa} \) and rotates at a speed of \( 250 \mathrm{r} / \mathrm{min} \). Calculate the maximum permissible diameter of the drum if the allowable hoop stress is 120 MPa (specific gravity of steel \(…

SPEED A \( 1325-\mathrm{kg} \) car, C, moving north at \( 27.0 \mathrm{~m} / \mathrm{s} \), collides with a \( 2165-\mathrm{kg} \) car, D, moving east at \( 11.0 \mathrm{~m} / \mathrm{s} \). The collision causes the two cars to stick together. In what direction and with what speed do they move…

218 At a football tryout, a player runs a 40 -yard dash in 4.25 seconds. If he reaches his maximum speed at the 16 -yard mark with a constant acceleration and then main tains that speed for the remainder of the run, determine hi acceleration over the first 16 yards, his maximum speed, an the…

V Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at \( 5.00 \mathrm{~m} / \mathrm{s} \) as in Figure P6.40a. After…

6.1 Given a continuous uniform distribution, show that (a) \( \mu=\frac{A+B}{2} \) and (b) \( \sigma^{2}=\frac{(B-A)^{2}}{12} \).

Would these two waves produce a standing wave? \begin{tabular}{l} yes, because the waves are traveling in opposite \\ directions \end{tabular} \begin{tabular}{l} yes, because the waves are traveling in the same \\ direction \end{tabular} \begin{tabular}{l} no, because the waves do not have…

3.33 Suppose a certain type of small data processing firm is so specialized that some have difficulty making a profit in their first year of operation. The probability density function that characterizes the proportion \( Y \) that make a profit is given by \[ f(y)=\left\{\begin{array}{ll} k…

PROBLEM A car with mass \( 1.50 \times 10^{3} \mathrm{~kg} \) traveling east at a speed of \( 25.0 \mathrm{~m} / \mathrm{s} \) collides at an intersection with a \( 2.50 \times 10^{3}-\mathrm{kg} \) pickup truck traveling north at a speed of \( 20.0 \mathrm{~m} / \mathrm{s} \), as shown in…

3.21 Consider the density function \[ f(x)=\left\{\begin{array}{ll} k \sqrt{x}, & 0<x<1 \\ 0, & \text { elsewhere } \end{array}\right. \] (a) Evaluate \( k \). (b) Find \( F(x) \) and use it to evaluate \[ P(0.3<X<0.6) \text {. } \]

Moment 6: Problem 1: Replace the force and couple-moment system by an equivalent resultant force and specify its coordinate point of application \( (\mathrm{x}, 0) \) on the x axis. Solution: \[ \begin{array}{l} \square \rightarrow \sum_{R_{x}}=\sum_{x} F_{x} \\ \Rightarrow…

A thin steel cylinder, 400 mm in diameter with closed ends, is rotated at a speed of \( 5000 \mathrm{r} / \mathrm{min} \) about a longitudinal axis through its centre. If it is simultaneously subjected to an internal pressure of 4 MPa , calculate the thickness of the cylinder, assuming that the…

3.7 The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable \( X \) that has the density function \[ f(x)=\left\{\begin{array}{ll} x, & 0<x<1 \\ 2-x, & 1 \leq x<2 \\ 0, & \text { elsewhere…

Question 4: Two gaseous streams enter a combining tube and leave as \( \qquad \) a single mixture. These data apply at the entrance section: For one gas, \( \mathrm{A}_{1}=75 \mathrm{in}^{2}, \mathrm{v}_{1}=10 \mathrm{ft} 3 / \mathrm{lb} \), For the other gas, \( \mathrm{A}_{2}=50…

\( \begin{array}{l}\dot{m}_{1}=\frac{A_{1} v_{1}}{V_{1}} \\ \dot{m}_{1}=\frac{75(500)}{(144)(10)} \frac{\left(h^{2}\right)(f /)\left(f l^{2}\right) l b}{\left.\left(\mathrm{si}^{2}\right) f t^{3}\right) s} \\ \dot{m}_{1}=26.04 \mathrm{lb} / \mathrm{s}\end{array} \)

\( (8060076) \) \( -3 \) T1310(E)(N QUESTION 1: THICK CYLINDERS A thick hydraulic cylinder supports a load which causes a pressure of 80 mPa in the cylinder. The outside diameter is 250 mm and the maximum hoop stress in the material is limited to 130 MPa . Young's modulus for the material is…

The slider \( P \) can be moved inward by means of the string \( S \), while the slotted arm rotates about point \( O \). The angular position of the arm is given by \( \theta= \) \( 0.8 t-\frac{t^{2}}{20} \), where \( \theta \) is in radians and \( t \) is in seconds. The slider is at \( r=1.6…

An inventor proposes a novel tap for making tea. It has single nozzle with a diameter of 2 mm that can be used to deliver hot water (viscosity 0.4 mPa s , density \( 950 \mathrm{~kg} / \mathrm{m}^{3} \) ) or cold milk (viscosity 10 mPa s , density \( 1030 \mathrm{~kg} / \mathrm{m}^{3} \) ). a)…

1. Electrostatics (the dipole) Calculate, to first order in \( d \), the potential at point \( \mathbf{r}=(r \sin \theta \cos \phi, r \sin \theta \sin \phi, r \cos \theta) \) arising from two point charges, \( +q \) at \( (0,0, d / 2) \) and \( -q \) at \( (0,0,-d / 2) \), assuming \( r \gg d…

A rifle with a weight of 30.0 N fires a \( 5.00-\mathrm{g} \) bullet with a speed of \( 3.00 \times 10^{2} \mathrm{~m} / \mathrm{s} \). (a) Find the recoil speed of the rifle. (b) If a \( 7.00 \times 10^{2}-\mathrm{N} \) man holds the rifle firmly against his shoulder, find the recoil speed of…

6. A concrete column has a diameter of 350 mm and a length of 2 m . If the density (mass/volume) of concrete is \( 2.45 \mathrm{Mg} / \mathrm{m}^{3} \), determine the weight of the column in newtons.

5. The pascal \( (\mathrm{Pa}) \) is actually a very small unit of pressure. Given \( 1 \mathrm{~Pa}=1 \mathrm{~N} / \mathrm{m}^{2} \) and atmospheric pressure at sea level is \( 101.325 \mathrm{kN} / \mathrm{m}^{2} \). How many pascals is this?

4. The specific weight (wt./vol.) of brass is \( 85 \mathrm{kN} / \mathrm{m}^{3} \). Determine its density (mass \( / \mathrm{vol} \).) in SI units. Use an appropriate prefix.

The minimum moment of a force required to turn a nut is 80 Nm . To produce this moment, how much force must be applied at the end of the handle of the spanner shown in Figure 10.45? Fiqure 10.45

The current law represents a mathematical statement of fact that * 1 point voltage cànnot accumulate at node charge at the node is infinite charge cannot accumulate at node none of the options is correct

7) Find the young's modulus (E) of a perfectly rigid body whose theoretical fracture strength is 700 MPa and the theoretical yield strength is approximately 450 MPa . (a) 200 GPa (b) 0

3.7 A thin rim is made by joining two halves with rivets as shown in figure 3.8. Determine the required diameter of the twelve rivets if the rim must rotate at 600 \( \mathrm{r} / \mathrm{min} \) and the allowable shear stress in the rivets is 63 MPa . Ignore the effect of the cover plates. The…

6) ASSERTION (A): The impurities in metals (alloying) can be added in two different ways: Substitutional and interstitial solid solutions, which can be found in many different alloys used everywhere. REASON (R): In both homogenous solid solution cases, the amount of impurity addition is highly…

12-87. The skateboard rider leaves the ramp at \( A \) with an initial velocity \( v_{A} \) at a \( 30^{\circ} \) angle. If he strikes the ground at \( B \), determine \( v_{A} \) and the time of flight. Camscanner

How many electrons are in the \( 3 p \) subshell of silicon? 2 4 6 8

12-87. The skateboard rider leaves the ramp at \( A \) with an initial velocity \( v_{A} \) at a \( 30^{\circ} \) angle. If he strikes the ground at \( B \), determine \( v_{A} \) and the time of flight. Camscanner

If you do not go completely around the loop when applying Kirchhoff's voltage law, then the algebraic sum is the voltage between the start and finish points. the algebraic sum of the voltages will always be negative. the algebraic sum of the voltages cannot be determined. the algebraic sum of…

82. An earth satellite of mass \( m \) revolves in a circular orbit at a height \( h \) from the surface of the earth. R is the radius of the earth and g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by (1) \( \frac{g R^{2}}{R+h}…

Statement: Which statement(s) is true regarding an object's instantaneous velocity? (1) An object's instantaneous velocity always points tangent to the path it is traveling. (2) An object's instantaneous velocity between times \( \mathbf{t}_{0} \) and \( \mathbf{t}_{1} \) always points in the…

Consider a single crystal of BCC iron oriented such that a tensile stress is applied along a [010] direction. (a) Compute the resolved shear stress along a (110) plane and in a [111] direction when a tensile stress of \( 52 \mathrm{MPa}(7500 \mathrm{psi}) \) is applied.

Figure 1 shows the scale on a moving coil ammeter at one time in the investigation. Figure 1 What is the resolution of the moving coil ammeter? Resolution \( = \) \( \square \) A

90. The escape velocity from the earth's surface is \( V_{\text {}} \). The velocity of a satellite while orbiting just above the earth's surface is \( \mathrm{V}_{0} \). Then the relation between these velocities is (1) \( V_{e}=\sqrt{2} V_{0} \) (2) \(…

90. The escape velocity from the earth's surface is \( \mathrm{V}_{e} \). The velocity of a satellite while orbiting just above the earth's surface is \( V_{0} \). Then the relation between these velocities is (1) \( V_{e}=\sqrt{2} V_{0} \) (2) \( \mathrm{V}_{\mathrm{e}}=\frac{1}{\sqrt{2}}…

Consider the circuit shown in the figure below. (Assume \( R_{1}=12.5 \Omega \) and \( R_{2}=6.50 \Omega \).) (a) Find the potential difference between points \( a \) and \( b \). \( \square \) Your response differs from the correct answer by more than \( 10 \% \). Double check your…

34. A planet of mass \( m \) moves around the sun of mass \( M \) in an elliptical orbit. The maximum and minimum distances of the planet from the sun are \( r_{1} \) and \( r_{2} \) respectively. The time period of the planet is proportional to (1) \( r_{1}^{3 / 2} \) (2) \( r_{2}^{3 / 2}…

An inventor proposes a novel tap for making tea. It has single nozzle with a diameter of 2 mm that can be used to deliver hot water (viscosity 0.4 mPa s , density \( 950 \mathrm{~kg} / \mathrm{m}^{3} \) ) or cold milk (viscosity 10 mPa s , density \( 1030 \mathrm{~kg} / \mathrm{m}^{3} \) ). a)…

11. Determine the ratio \( R_{A} \) of the force exerted by the sun on the moon to that exerted by the earth on the moon for position \( A \) of the moon. Repeat for moon position \( B \).

The diagonals of a parallelogram are represented by vectors \( \vec{p}=5 \hat{i}-4 \hat{j}+3 \hat{k} \) and \( \vec{q}=3 \hat{i}+2 \hat{j}-\hat{k} \), then the area of the parallelogram is : 1) \( \sqrt{171} \) units 2) \( \sqrt{72} \)-units 3) 171 units 4) 72 units The minimum number of…

A 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in (Figure 1) and the tension in the upper string is 69.0 N . Figure 1 of 1 What is the tension in the lower cord? Express your answer…

A 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in (Figure 1) and the tension in the upper string is 69.0 N. Figure 1 of 1 A block is attached to a vertical rod by two strings each of…

A camonot tyde workting betwieen \( 100^{\circ} \) Cand \( 30^{\circ} \mathrm{C} \) is used to dirier amanotrefrifgertao between \( -10^{\circ} \mathrm{C} \) and \( 30^{\circ} \mathrm{C} \) How muchenergy mussthic Carnot engine produce per second so thattherefrigeratorisable to discard 100 of…

A student is studying the conservation of mass by performing the same experiment four times using different amounts of reactants in four identical, sealed containers. She records the mass of the reactants ( \( A \) and \( B \) ) before the reaction and the mass of products ( \( C \) and \( D \)…

A boy takes a running jump off the high-dive board at the local pool. His speed as he leaves the board is 3 m/s and the board is 5 m above the water. Using Conservation of Energy, what is his speed as he hits the water?

(1) \% \( 16: 43 \) ?ro Únete a nuestro canal de WhatsApp UNIRME Problema 4.- Calcular la magnitud de la fuerza gravitacional con la que se atraen dos personas, si una de ellas tiene una masa de 110 kg y otra de 86 kg , si la distancia que hay entre ambos es de 1.3 metros Ver…

2. A cat is initially hanging on a rod in static equilibrium as shown in figure. If the cat climbs up on the rod from its lower end towards its upper end with a monotonically increasing acceleration starting at \( \mathrm{t}=0 \) and crossing the midpoint of rod at \( t=t_{0} \) and the average…

10. Determine the angle \( \theta \) at which a particle in Jupiter's circular orbit experiences equal attractions from the sun and from Jupiter. Use Table D/2 of Appendix D as needed.

2 Drew and sand* A drum of mass \( M_{A} \) and radius a rotates freely with initial angular speot \( \sigma_{1}(\theta) \). A second drum with mass \( M_{n} \) and radius \( b>a \) is mounted on the same axis and is at rest, although it is free to rotate. A thin layer of sand with mass \(…

vision Question 1. If a rigid container of He at STP were cooled to 200 K , then what would be the new pressure in atmospheres? Answer \( =0.733 \mathrm{~atm} \)

Q10: In Figure, blocks A and B have weights of 44 N and 22 N , respectively. (a) Determine the minimum weight of block \( C \) to keep \( A \) from sliding if \( \mu \), between \( A \) and the table is 0.20 . (b) Block C suddenly is lifted off A. What is the acceleration of block A if \(…

\( =\frac{\left(R_{U}^{2}-\mathrm{R}_{R}^{2}\right)(n-k-1)}{\left(1-R_{U}^{2}\right) \mathrm{m}} \)

Q10: In Figure, blocks A and B have weights of 44 N and 22 N , respectively. (a) Determine the minimum weight of block C to keep A from sliding if \( \mu_{s} \) between A and the table is 0.20 . (b) Block C suddenly is lifted off A . What is the acceleration of block A if \( \mu_{\mathrm{k}} \)…

9. Determine the distance \( h \) for which the spacecraft \( S \) will experience equal attractions from the earth and from the sun. Use Table D/2 of Appendix D as needed.

2. A ball dropped on to the floor from a height of 40 m and rebounds to a height of 10 m . If the ball is in contact with the floor for 0.02 \( s \), its average acceleration during contact is 1) \( 1050 \mathrm{~m} / \mathrm{s}^{2} \) 2) \( 2100 \mathrm{~m} / \mathrm{s}^{2} \) 3) \( 9.8…

8. A space shuttle is in a circular orbit at an altitude of 300 km . Calculate the absolute value of g at this altitude and determine the corresponding weight of a shuttle passenger who weighs 880 N when standing on the surface of the earth at a latitude of \( 45^{\circ} \). Are the terms…

A stone is dropped from the top of a tower of height 125 m . The distance trave-lled by it during last second of its fall is \( \left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right. \) ) 1) 22.5 m 2) \( 45 m \) 3) 75 m 4) 90 m

A ball is released at point \( \mathbf{A} \) and it freely falls onto the ramp. It rolls past point \( \mathbf{D} \) for the first time. What can be said about the ball at point \( \mathbf{E} \) ? It has only kinetic energy. It has neither potential nor kinetic energy. It has only potential…

Which of the following statements is true about power? A \( \mathbf{6 0}-\mathrm{kg} \) boy runs up a 2.0 meter staircase in 1.5 seconds. His power is approximately 800 watts. Powerful people or powerful machines are simply people or machines which always do a lot of work. Joule per minute…

30. A freely falling body covers \( \qquad \) of total distance in 3 rd second. 1) \( 8 \% \) 2) \( 35.5 \% \) 3) \( 55.55 \% \) 4) \( 45.5 \% \)

Which of the following statement is true about work? A Watt is the standard metric unit of work An individual force does NOT do positive work upon an object if the object is moving at constant speed. Work is a form of energy A force acts upon an object at a 90-degree angle to the direction…

4 From a point \( A \), a boat sails due north for 7 km to \( B \). The boat leaves \( B \) and moves on a bearing of \( 100^{\circ} \) for 10 km until it reaches \( C \). Calculate the distance of \( C \) from \( A \). 5 A helicopter flies on a bearing of \( 080^{\circ} \) from \( A \) to \(…

7. Determine the absolute weight and the weight relative to the rotating earth of a \( 60-\mathrm{kg} \) woman if she is standing on the surface of the earth at a latitude of \( 35^{\circ} \).

9. A body is dropped from a height 135 m . If after 3 sec acceleration due to gravity of earth cases to act then the further time of descent is \( \left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right) \) 1) 3 sec 2) 6 sec 3) 4 sec 4) 2 sec

A particle is released from rest from a tower of height 3 h . The ratio of times to fall equal heights ' \( h \) ' i.e. \( t_{1}: t_{2}: t_{3} \) is \( (\sqrt{3}=1.7 \& \sqrt{2}=1.4) \) 1) \( \sqrt{3}: \sqrt{2}: 1 \) 2) \( 3: 2: 1 \) 3) \( 1: 1.4: 1.7 \) 4) \( 10: 4: 3 \)

1. Calculate the mass, number of moles, volume and number of particles of Aluminium required to get 1120 Kg of Iron.

Lines of charge: The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is \( 30 \mathrm{nC} / \mathrm{m} \) and the linear charge density on the outer conductor is \( -70 \mathrm{nC} / \mathrm{m} \). The inner and…

27. A body is released from the top of a tower of height \( h \) and takes ' \( T \) ' sec to reach the ground. The position of the body at \( \mathrm{T} / 2 \mathrm{sec} \) is 1) \( \frac{\mathrm{h}}{4} \) from ground 2) \( \frac{3 h}{4} \) from ground 3) \( \frac{h}{8} \) from ground 4) \(…

52. Fit a normal curve to the following data: f 5 18 42 27 8

26. A body freely falling from a height \( h \) describes \( \frac{11 \mathrm{~h}}{36} \) in the last second of its fall. The height \( h \) is \( \left(g=10 \mathrm{~ms}^{-2}\right) \) 1) 125 m 2) 180 m 3) 360 m 4) 90 m

An astronaut rotates at the end of a test machine whose arm has a length of 10.0 m. The acceleration she experiences must not exceed 5g (take g = 10 m s^-2). Determine the maximum number of revolutions per minute of the arm.

2. Determine the weight in newtons of a car which has a mass of 1500 kg . Convert the given mass of the car to slugs and calculate the corresponding weight in pounds.

5. A body falls for 4 s from rest. If the acceleration due to gravity of earth ceases to act, then the velocity and distance it travels in the next 3 sec is 1) \( 40 \mathrm{~m} / \mathrm{s}, 120 \mathrm{~m} \) 2) \( 30 \mathrm{~m} / \mathrm{s}, 400 \mathrm{~m} \) 3) \( 50 \mathrm{~m} /…

24. Two stones are falling at a place from heights in the ratio \( 2: 3 \). Their velocities on reaching the ground are in the ratio 1) \( \sqrt{3}: \sqrt{2} \) 2) \( \sqrt{2}: \sqrt{3} \) 3) \( 2: 3 \) 4) \( 3: 2 \)

The ChatGF N. Try Ace Al meta whate Clever/Por HISD OnTrn HISD OnTra Savvas Easi Savvas Rea student. schoolcity.com/student/Common/Index houstonisd.org bookmarks Clever | Portal itslearning HISD OnTrack Microsoft Office Ho Microsoft Teams Ms. Beal's 3rd Perio. Chavez-Lopez,…

Back Time left 0:13:22 quertion 6 not yet answered F Flog quertion \( \square \) \( \square \) c. decelerating: d. moving at a constant speed. Previous page meetgooglecom đang chia sé môt cưa sô. Dưng chia sé Ân Next page Search

During an experiment, a student places a large block on a plank. The student raises one end of the plank until the block starts to slide down. Another classmate explains that the block begins to slide because the parallel component of the surface force exerted on the block by the plank…

The ChatGF N. Try Ace Al meta what: Clever IPor HISD OnTrn HISD OnTr Savvas Eas Savvas Rien student.schoolcity.com/student/Common/Index houstonisd.org bookmarks Clever I Portal itslearning HISD OnTrack Microsoft Office Ho Microsoft Teams Ms. Beal's 3rd Perio. Chavez-Lopez,…

Back Time left 0:13:22 quertion 6 not yet answered F Flog quertion \( \square \) \( \square \) c. decelerating: d. moving at a constant speed. Previous page meetgooglecom đang chia sé môt cưa sô. Dưng chia sé Ân Next page Search

You are pulling a sled with a constant velocity using a rope held horizontally in the snow. Using a spring scale attached to the rope, you measure the pulling tension to be 0.400 N . The sled's mass is 2.20 kg . Determine the magnitude of the normal force by the ground on the sled. A. 21.6…

国 Quiz 1 - Kinematics Back: Time left 0:14:03 Hide Quertion 5 Not yet answered P fog quertion a. \( 2 \mathrm{~m} / \mathrm{s}^{2} \). b. \( 3 \mathrm{~m} / \mathrm{s}^{2} \). C. \( 1 \mathrm{~m} / \mathrm{s}^{2} \). d. \( 5 \mathrm{~m} / \mathrm{s}^{2} \). Previous page Next pr

Example 4.1 A simply supported reinforced concrete beam, span of \( L=6 \mathrm{~m} \). rectangular section with \( b=250 \mathrm{~mm} \) and \( h=550 \mathrm{~mm} \); is subjected to the uniformly distributed characteristic permanent load of \( 12 \mathrm{kN} / \mathrm{m} \) (not including…

国 Quiz 1 - Kinematics Back: Time left 0:14:03 Hide Quertion 5 Not yet answered P fog quertion a. \( 2 \mathrm{~m} / \mathrm{s}^{2} \). b. \( 3 \mathrm{~m} / \mathrm{s}^{2} \). C. \( 1 \mathrm{~m} / \mathrm{s}^{2} \). d. \( 5 \mathrm{~m} / \mathrm{s}^{2} \). Previous page Next pr

A dog is pulling an empty sled attached to a harness that is parallel to the ground in the snow. The sled is moving with constant velocity. The mass of the sled is 5.4 kg , and the coefficient of kinetic friction is 0.20 . Determine the harness tension. A. 9.8 N B. 10.6 N C. 52.3 N D. 20.3 N

For an object on an inclined plane, which of the following will vary with the angle? A. acceleration by decreasing as the angle increases B. acceleration by increasing as the angle increases C. mass by decreasing as the angle increases D. None of the above

4-54. Determine the moment of the force F about the diagonal AF of the rectangular block. Express the result as a Cartesian vector. 4-55. Determine the moment of the force F about the diagonal OD of the rectangular block. Express the result as a Cartesian vector.

4-53. Determine the moment of force ( mathbf{F} ) about an axis extending between ( O ) and ( A ). Express the result as a Cartesian vector.

A student S pushes bookcase B across the floor to the right at constant speed. What's wrong with the free-body diagrams shown in the figure?

A reagent mixture in a continuous pharmaceutical manufacturing process contains 10% (by weight) compound R. This mixture is subjected to a reaction step in which the conversion of R is 99%. To meet FDA specifications, the final product stream must contain 0.75% R. To achieve this goal, a…

A 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in (Figure 1) and the tension in the upper string is 69.0 N. Figure 1 of 1 A block is attached to a vertical rod by two strings each of…

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