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Physics 101 Mechanics
May 2023
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Physics 101 Mechanics
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May 13, 2023
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May 13 of 2023
A car is parked on a slippery hill. The hill is at an angle of 15 degrees to the horizontal. To keep it from sliding down the hill, the owner attaches a cable at the back of the car and to a post. The mass of the car is 1.41 3 10^3 kg. (a) Draw an FBD showing the forces on the car. (b)…
Two ropes are pulling on a skater, and they exert forces of 40 N making an angle of 50 degrees to the horizontal while the other force of 30 N makes an angle of 30 degrees to the horizontal on her. Calculate the magnitude and direction of the total force exerted by the ropes on the skater.
The harness in which three riders are strapped is supported by 4 steel cables. An advert for the ride states that the riders will be released from a height of 45 m above the ground and will then swing with a period of 14.0 s. It states that they will be 1.0 m above the ground at the lowest…
The diagram shows two pendulums suspended from the same thread, PQ. X is a heavy pendulum, the frequency fx of which can be varied. Y is a lighter pendulum of fixed frequency fy. As the frequency of oscillation of X is increased by shortening the thread, the amplitude of the oscillation of Y…
(1) You are working for anglo gold mine as ET apump is diven by 3 phase, \( 45 k w, 400 \mathrm{~V} \), soorpm So \( \mathrm{Hz}_{2} \) induction motor beeps on tripping during fee start up. The starting method tert is used to start te rotur is dineet on-une starter (Q) Explain why pumplmots…
for unity feedback system whose open loop transfer function \( G(\theta)=\frac{50}{(1+0.13)(1+2 s)} \) find position, vector velocity and acceleration error constants.
1. You are on a clothoid roller coaster upside down at the top of a loop with an accelerometer. The radius of the loop's curvature is 18 m. You experience a force of 2.0 times your normal weight from your seat. a) Calculate your speed at the top of the loop b) Identify the forces acting on…
2. During rubbing, a body obtained a negative charge. If during the process, electrons transferred from one body to another, what body received electrons?
The mass of each pulley on the system below is m, and the mass of the suspended object A is M. Determine the force T necessary for the system to be in equilibrium
QUESTION 3 3.1 A houschold uses a tank to store water: 3.1.1 What name is given to the shape of the container?
In Figure Q3(a), there is a very thin circular plate with radius of R = 0.6 m. It is made of homogenous material with area density of p = 2.7 kg/m2. Two circular holes with radius of r = 0.2 mare created on the plate, as illustrated in Figure Q3(b ). The plate is connecting with a rigid and…
a 920 kg sports car collides into the raer end of a 2300 kg SUV stopped at a red light
a tuning fork of unknown frequency produces three flights per second when sounded alongside a standard tuning fork with a frequency of 384 hz. the flight frequency is reduced when a piece of wax is attached to one of the legs of the first tuning fork. what is the frequency of the tuning fork?
Reproduce Figure 3.6 in Marion book. Use any value for the constants.
A mass on the end of a spring is oscillating with angular frequency . At, its position is and I give it a kick so that it moves back toward the origin and executes simple harmonic motion with amplitude . Find its position as a function of time in the form
the water level in a 1.00 m long vertical glass tube can be changed. a tuning fork with a frequency of 686 hz is sounded at the top edge of the tube. determine the water level for resonance to occur.
An electric motor turns the tire at A at a constant angular velocity, and friction then causes the tire to roll without slipping on the inside rim of the Ferris wheel. Using appropriate numerical values, determine the magnitude of the velocity and acceleration of passengers in one of the…
In Figure Q3, there is a homogeneous 10-kg disk connecting with a rigid link AB and also spinning about the pin A at the constant angular speed of w1 = 15 rad/s. Such a link AB also simultaneously rotates at the speed of w2 = S rad/s about the collar B along the Y axis. Length of AB is L = 0.8…
a long aluminum rod is struck at one end. an observer puts his ear to the other end and hears the sound twice (once through the air, and once through the rod), with an interval of 0.120 s. the rate of sound in the air is 343m/s and the rate of sound in the rod is 15 times. how long is the rod?
PETA \#2/HOMEBASED 2 (Thursday) Direction: Solve the following to decode the mystery word. G. \( \sec 30^{\circ} \) O. \( \cos 45^{\circ} \) L. \( \tan 30^{\circ} \) \begin{tabular}{|l|l|l|l|l|l|} \hline 1. & 2. & 3. & 4. & 5. & 6. \\ \hline\( \frac{2 \sqrt{3}}{3} \) & \( \frac{\sqrt{2}}{2} \)…
1. A cord running over a pulley connects two blocks. Ignore the mass of the cord and pulley and any friction in the pulley. mass of block \( A \) is 6ing and mass of block \( B \) is \( 2 \mathrm{~kg} \). What is the acceseration of the system and ztension force on the cord.
-Problem 2. - A race car accelerates uniformly from \( 18.5 \mathrm{~m} / \mathrm{s} \) to \( 46.1 \mathrm{~m} / \mathrm{s} \) in 2.47 seconds. Determine the acceleration of the car and the distance traveled.
- Problem 3. -A feather is dropped on the moon from height of 1.40 meters. The acceleration of gravity on the moon is \( 1.67 \mathrm{~m} / \mathrm{s} 2 \).Determine the time for the feather to fall to the surface of the moon
A mass of 2kg is suspended by 1m long string and is set free at point A as show neglecting air resistance, what is the speed of the mass as it passes through point B
Calculate the X \& Y component of car's averaglecity, by using the data given in the following figure. \[ \text { Marks }=10 \]
The Concorde was the fastest passenger airliner to ever fly, with an operating mass of 78,700 kg and a maximum cruising kinetic energy of 1.38 Ă— 1010 J. What is the maximum cruising speed of the Concorde?
Two cars are moving. The first car has twice the mass of the second car, but only half as much kinetic energy. Then, both cars increase their speed by 8.00 m/s. They then have the same kinetic energy. The original speeds of the two cars are, respectively,
A force of 40.0 N is applied to a crate to displace it by 50.0 m. How much work is done on the crate by this force?
A certain system has stiffness 10 N/m and is very heavily damped. A mass of 1.0 kg is observed to be moving to the left at 10 mm/s when its position is 30 mm to the right of its equilibrium position. Determine the damping constant, Îł, of the system.
explain briefly the de brogile hypothesis with respect to wave associated with particles.
2-19. The truck is to be towed using two ropes. If the resultant force is to be \( 950 \mathrm{~N} \), directed along the positive \( x \) axis, determine the magnitudes of forces \( \mathbf{F}_{A} \) and \( \mathbf{F}_{B} \) acting on each rope and the angle \( \theta \) of \( \mathbf{F}_{B}…
Draw 3 examples of elastic, 3 examples of inelastic and 3 examples of perfectly inelastic collision. Show what happens BEFORE, DURING, and AFTER COLLISION.
Draw 3 examples of elastic, 3 examples of inelastic and 3 examples of perfectly inelastic collision. Show what happens BEFORE, DURING, and AFTER COLLISION.
Derive the component form of Maxwell relations for a media which is non –conducting
An LPF wattmeter of power factor 0.2 is having three voltage setting \( 300 \mathrm{~V} \), 150V, \( 75 \mathrm{~V} \) and two current setting \( 5 \mathrm{~A} \) and \( 10 \mathrm{~A} \). The full scale reading of wattmeter is \( 150 \mathrm{~W} \). Caliculaie the multiplying factor of…
Weights of 2, 4, 6, and 8 N are fastened to the corners of a 2m Ă— 2m frame. If it weighs 10 N, where would the fulcrum (the support point) be placed to balance the frame and the weights?
\( 5 \mathrm{~kg} \) mass attached to a spring performs a SHM of amplitude \( 50 \mathrm{~cm} \). If the maximum rce exerted on the body is \( 100 \mathrm{~N} \), what is the acceleration at a distance of \( 40 \mathrm{~cm} \) from e equilibrium position? (neglecting frictional force) wo…
Throe brothers, Slmon, Ehon and Thato, combined their moncy into a joint bank wcokmt and then invest three quarter of the money to a Stokvel. The table below shows the individual amount cach member contribute into the Source: Adapted from Study Guide L.se the information above to answer…
QUESTION 1 a) If a twisting moment of \( 1100 \mathrm{Nm} \) is impressed upon a \( 4.4 \mathrm{~cm} \) diameter and \( 150 \mathrm{~cm} \) length of the shaft. The material is steel for which \( \mathrm{G}=85 \mathrm{GPa} \). i. Calculate the maximum shearing stress developed. \( (\mathrm{CLO}…
7:52 PM 4G \( 68 \% \) CONFIDENTIAL JKPK/DJJ30103 DEPARTMENT OF PETROCHEMICAL ENGINEERINGCOURSE WORK ASSESSMENT (Session: 2 2022/2023) \( \mathrm{CLO} 2 / 50 \) Name Code \& Course \( \quad: \) DJJ30103 STRENGTH OF MATERIALS Lecturer End Of Chapter (s) No Registration Number Programme Code :…
Earth turns on its axis about once every 24 hours. The Earth's equatorial radius is 6.38 x 106 m. If the Earth were to suddenly stop spinning about its axis, with what speed would Earth's inhabitants who live at the equator initially "fly away" from their surroundings?
A round cylinder with a diameter of 0.100 meters rolls without slipping across a concrete floor. How far has the cylinder rolled after it has completed 202 complete revolutions about its center axis?
Inside the box are lists of sports/games. Tell whether it exhibits projectile motion or not. Write your answers on the designated column. \begin{tabular}{|ccccc|} \hline \( \begin{array}{c}\text { A VOLLEYBALI } \\ \text { BEING SERVED }\end{array} \) & \( \begin{array}{c}\text { A MOTORBIKE }…
A foam cup is filled with a hot water and allowed to cool while being stirred by a paddlewheel. initially, the water has an internal energy of \( 200 \mathrm{kj} \),and while cooling it loses \( 150 \mathrm{kj} \) of heat. the paddlewheel does \( 25 \mathrm{kj} \) of work on water a) calculate…
Hello, may I know why the a_2 = 2*a_1 in this problem ? I have seen it it multiple problems and I would like to know the mathematical reasoning behind that
Hello, may I know why the a_2 = 2*a_1 in this problem ? I have seen it it multiple problems and I would like to know the mathematical reasoning behind that
collisions in multiple dimensions
A block of mass 4 kg is hanging by a light, inextensible string that passes over a massless, frictionless pulley. The same string is attached to a block of mass 6 kg, which is resting horizontally on a rough table with a coefficient of friction of 0.2. The 6 kg block is pushed against a…
A car is parked on a slippery hill. The hill is at an angle of 15 degrees to the horizontal. To keep it from sliding down the hill, the owner attaches a cable at the back of the car and to a post. The mass of the car is 1.41 3 10^3 kg. (a) Draw an FBD showing the forces on the car. (b)…
Two ropes are pulling on a skater, and they exert forces of 40 N making an angle of 50 degrees to the horizontal while the other force of 30 N makes an angle of 30 degrees to the horizontal on her. Calculate the magnitude and direction of the total force exerted by the ropes on the skater.
The harness in which three riders are strapped is supported by 4 steel cables. An advert for the ride states that the riders will be released from a height of 45 m above the ground and will then swing with a period of 14.0 s. It states that they will be 1.0 m above the ground at the lowest…
The diagram shows two pendulums suspended from the same thread, PQ. X is a heavy pendulum, the frequency fx of which can be varied. Y is a lighter pendulum of fixed frequency fy. As the frequency of oscillation of X is increased by shortening the thread, the amplitude of the oscillation of Y…
The mass of each pulley on the system below is m, and the mass of the suspended object A is M. Determine the force T necessary for the system to be in equilibrium
A mass on the end of a spring is oscillating with angular frequency . At, its position is and I give it a kick so that it moves back toward the origin and executes simple harmonic motion with amplitude . Find its position as a function of time in the form
A mass of 2kg is suspended by 1m long string and is set free at point A as show neglecting air resistance, what is the speed of the mass as it passes through point B
The Concorde was the fastest passenger airliner to ever fly, with an operating mass of 78,700 kg and a maximum cruising kinetic energy of 1.38 Ă— 1010 J. What is the maximum cruising speed of the Concorde?
Two cars are moving. The first car has twice the mass of the second car, but only half as much kinetic energy. Then, both cars increase their speed by 8.00 m/s. They then have the same kinetic energy. The original speeds of the two cars are, respectively,
A force of 40.0 N is applied to a crate to displace it by 50.0 m. How much work is done on the crate by this force?
\( 5 \mathrm{~kg} \) mass attached to a spring performs a SHM of amplitude \( 50 \mathrm{~cm} \). If the maximum rce exerted on the body is \( 100 \mathrm{~N} \), what is the acceleration at a distance of \( 40 \mathrm{~cm} \) from e equilibrium position? (neglecting frictional force) wo…
Throe brothers, Slmon, Ehon and Thato, combined their moncy into a joint bank wcokmt and then invest three quarter of the money to a Stokvel. The table below shows the individual amount cach member contribute into the Source: Adapted from Study Guide L.se the information above to answer…
Earth turns on its axis about once every 24 hours. The Earth's equatorial radius is 6.38 x 106 m. If the Earth were to suddenly stop spinning about its axis, with what speed would Earth's inhabitants who live at the equator initially "fly away" from their surroundings?
A round cylinder with a diameter of 0.100 meters rolls without slipping across a concrete floor. How far has the cylinder rolled after it has completed 202 complete revolutions about its center axis?
Hello, may I know why the a_2 = 2*a_1 in this problem ? I have seen it it multiple problems and I would like to know the mathematical reasoning behind that
collisions in multiple dimensions