Question 1

A tire stops a car by use of friction. What modulus should we use to calculate the stress and strain on the tire?

Accepted Answer

A)  Young's modulus 
B)  compression modulus 
C)  shear modulus 
D)  bulk modulus 
A)  Young's modulus 
B)  compression modulus 
C)  shear modulus 
D)  bulk modulus

Question 2

How large a force is necessary to stretch a 2.0 mm radius steel wire (Y = 2.0 *1011 N/m2) by 2.0%?

Accepted Answer

A)  5.0 * 104 N 
B)  2.5 * 104 N 
C)  2.5 *103 N 
D)  1.3 * 104 N 
A)  5.0 * 104 N 
B)  2.5 * 104 N 
C)  2.5 *103 N 
D)  1.3 * 104 N

Question 3

If a simple harmonic motion is described by   , starting from   , what is the first occurrence of a value of t for which   ? Assume SI units.

Accepted Answer

A)  t = 0 s 
B)  t =   
C)  t =   
D)  t = 0.5 s 
A)  t = 0 s 
B)  t =   
C)  t =   
D)  t = 0.5 s

Question 4

By what factor should the length of a simple pendulum be changed if the period of vibration were to be quadrupled?

Accepted Answer

A)  16 
B)  4.0 
C)  0.25 
D)  1/16 
A)  16 
B)  4.0 
C)  0.25 
D)  1/16

Question 5

Doubling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of the object's acceleration by what factor?

Accepted Answer

A)  4.0 
B)  2.0 
C)  1.0 
D)  0.5 
A)  4.0 
B)  2.0 
C)  1.0 
D)  0.5

Question 6

If a simple harmonic motion is described by   , what is the period of oscillation and what is the maximum speed during the oscillation? Assume SI units.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

A mass of 0.40 kg, hanging from a spring with a spring constant of 160 N/m, is set into an up-and-down simple harmonic motion. What is the speed of the mass when moving through a point at 0.05 m displacement? The starting displacement of the mass is 0.10 m from its equilibrium position.

Accepted Answer

A)  zero 
B)  1.4 m/s 
C)  1.7 m/s 
D)  1.2 m/s 
A)  zero 
B)  1.4 m/s 
C)  1.7 m/s 
D)  1.2 m/s

Question 8

When an object is moving in simple harmonic motion, which of the following is at a minimum when the displacement from equilibrium is zero?

Accepted Answer

A)  the magnitude of the velocity 
B)  the magnitude of the acceleration 
C)  the kinetic energy 
D)  the total mechanical energy 
A)  the magnitude of the velocity 
B)  the magnitude of the acceleration 
C)  the kinetic energy 
D)  the total mechanical energy

Question 9

Bar One has a Young's modulus that is bigger than that of Bar Two. This indicates Bar One:

Accepted Answer

A)  is longer than Bar Two. 
B)  has a greater cross-sectional area than Bar Two. 
C)  has a greater elastic limit than Bar Two. 
D)  is made of material that is different from Bar Two. 
A)  is longer than Bar Two. 
B)  has a greater cross-sectional area than Bar Two. 
C)  has a greater elastic limit than Bar Two. 
D)  is made of material that is different from Bar Two.

Question 10

An object is attached to a spring, and its frequency of oscillation is measured. Then another object is connected to the first object, and the resulting mass is nine times the original value. By what factor is the frequency of oscillation changed?

Accepted Answer

A)  9 
B)  3 
C)  1/3 
D)  1/9 
A)  9 
B)  3 
C)  1/3 
D)  1/9

Question 11

An object moving in simple harmonic motion has an amplitude of 0.020 m and a maximum acceleration of 20 m/s2. What is the frequency of the system?

Accepted Answer

A)  0.40 Hz 
B)  5.0 Hz 
C)  10.1 Hz 
D)  32 Hz 
A)  0.40 Hz 
B)  5.0 Hz 
C)  10.1 Hz 
D)  32 Hz

Question 12

A child sits on a swing supported by ropes of length 4.0 m. With what frequency will she need to apply the driving force to maintain swinging?

Accepted Answer

A)  0.29 Hz 
B)  0.48 Hz 
C)  0.25 Hz 
D)  0.38 Hz 
A)  0.29 Hz 
B)  0.48 Hz 
C)  0.25 Hz 
D)  0.38 Hz

Question 13

I attach a 2.0-kg block to a spring that obeys Hooke's Law and supply 4.0 J of energy to stretch the spring. I release the block; it oscillates with period 0.30 s. The amplitude is:

Accepted Answer

A)  38 cm. 
B)  19 cm. 
C)  9.5 cm. 
D)  4.3 cm. 
A)  38 cm. 
B)  19 cm. 
C)  9.5 cm. 
D)  4.3 cm.

Question 14

Which one of the following quantities is at a maximum when an object in simple harmonic motion is at its maximum displacement?

Accepted Answer

A)  speed 
B)  acceleration 
C)  kinetic energy 
D)  frequency 
A)  speed 
B)  acceleration 
C)  kinetic energy 
D)  frequency

Question 15

If the torsion constant of the suspension fiber in the Cavendish experiment were doubled, what would happen to the frequency of oscillation? The last two answers have been rounded to 2 significant figures.

Accepted Answer

A)  It would double. 
B)  It would halve. 
C)  It would increase by a factor of 1.4. 
D)  It would decrease by a factor of 0.71. 
A)  It would double. 
B)  It would halve. 
C)  It would increase by a factor of 1.4. 
D)  It would decrease by a factor of 0.71.

Question 16

A 0.20-kg mass is oscillating on a spring over a horizontal, frictionless surface. When it is at a displacement of 2.6 cm from equilibrium, it has a kinetic energy of 2.7 J and a spring potential energy of 2.2 J. What is the maximum speed of the mass during its oscillation?

Accepted Answer

A)  3.7 m/s 
B)  4.7 m/s 
C)  6.0 m/s 
D)  7.0 m/s 
A)  3.7 m/s 
B)  4.7 m/s 
C)  6.0 m/s 
D)  7.0 m/s

Question 17

Suppose a 0.30-kg mass on a spring-loaded gun that has been compressed 0.20 m has elastic potential energy of 1.0 J. How high above the spring's equilibrium point can the gun fire the mass if the gun is fired straight up?

Accepted Answer

A)  0.10 m 
B)  0.34 m 
C)  0.24 m 
D)  0.14 m 
A)  0.10 m 
B)  0.34 m 
C)  0.24 m 
D)  0.14 m

Question 18

A mass of 0.40 kg, attached to a spring with a spring constant of 80 N/m, is set into simple harmonic motion. What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.050 m from the equilibrium position?

Accepted Answer

A)  zero 
B)  5 m/s2 
C)  10 m/s2 
D)  20 m/s2 
A)  zero 
B)  5 m/s2 
C)  10 m/s2 
D)  20 m/s2

Question 19

A simple pendulum of length 2.00 m has a mass of 100 g attached. It is drawn back 30.0$\degree$ and then released. What is the maximum speed of the mass?

Accepted Answer

A)  1.14 m/s 
B)  4.58 m/s 
C)  2.29 m/s 
D)  1.62 m/s 
A)  1.14 m/s 
B)  4.58 m/s 
C)  2.29 m/s 
D)  1.62 m/s

Question 20

A 0.20-kg object is oscillating on a spring with a spring constant of k = 30 N/m. What is the potential energy of the system when the object's displacement is 0.040 m, exactly half the maximum amplitude?

Accepted Answer

A)  0.96 J 
B)  0.024 J 
C)  0.012 J 
D)  zero 
A)  0.96 J 
B)  0.024 J 
C)  0.012 J 
D)  zero

Exam 11: Harmonic Motion and Elasticity

A tire stops a car by use of friction. What modulus should we use to calculate the stress and strain on the tire?

How large a force is necessary to stretch a 2.0 mm radius steel wire (Y = 2.0 *1011 N/m2) by 2.0%?

If a simple harmonic motion is described by , starting from , what is the first occurrence of a value of t for which ? Assume SI units.

By what factor should the length of a simple pendulum be changed if the period of vibration were to be quadrupled?

Doubling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of the object's acceleration by what factor?

If a simple harmonic motion is described by , what is the period of oscillation and what is the maximum speed during the oscillation? Assume SI units.

A mass of 0.40 kg, hanging from a spring with a spring constant of 160 N/m, is set into an up-and-down simple harmonic motion. What is the speed of the mass when moving through a point at 0.05 m displacement? The starting displacement of the mass is 0.10 m from its equilibrium position.

When an object is moving in simple harmonic motion, which of the following is at a minimum when the displacement from equilibrium is zero?

Bar One has a Young's modulus that is bigger than that of Bar Two. This indicates Bar One:

An object is attached to a spring, and its frequency of oscillation is measured. Then another object is connected to the first object, and the resulting mass is nine times the original value. By what factor is the frequency of oscillation changed?

An object moving in simple harmonic motion has an amplitude of 0.020 m and a maximum acceleration of 20 m/s2. What is the frequency of the system?

A child sits on a swing supported by ropes of length 4.0 m. With what frequency will she need to apply the driving force to maintain swinging?

I attach a 2.0-kg block to a spring that obeys Hooke's Law and supply 4.0 J of energy to stretch the spring. I release the block; it oscillates with period 0.30 s. The amplitude is:

Which one of the following quantities is at a maximum when an object in simple harmonic motion is at its maximum displacement?

If the torsion constant of the suspension fiber in the Cavendish experiment were doubled, what would happen to the frequency of oscillation? The last two answers have been rounded to 2 significant figures.

A 0.20-kg mass is oscillating on a spring over a horizontal, frictionless surface. When it is at a displacement of 2.6 cm from equilibrium, it has a kinetic energy of 2.7 J and a spring potential energy of 2.2 J. What is the maximum speed of the mass during its oscillation?

Suppose a 0.30-kg mass on a spring-loaded gun that has been compressed 0.20 m has elastic potential energy of 1.0 J. How high above the spring's equilibrium point can the gun fire the mass if the gun is fired straight up?

A mass of 0.40 kg, attached to a spring with a spring constant of 80 N/m, is set into simple harmonic motion. What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.050 m from the equilibrium position?

A simple pendulum of length 2.00 m has a mass of 100 g attached. It is drawn back 30.0 °\degree° and then released. What is the maximum speed of the mass?

A 0.20-kg object is oscillating on a spring with a spring constant of k = 30 N/m. What is the potential energy of the system when the object's displacement is 0.040 m, exactly half the maximum amplitude?

Introduction

Motion, Forces, and Newtons Laws

Forces and Motion in One Dimension

Forces and Motion in Two and Three Dimensions

Circular Motion and Gravitation

Work and Energy

Momentum, Impulse, and Collisions

Rotational Motion

Energy and Momentum of Rotational Motion

Fluids

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Sound

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Gases and Kinetic Theory

Thermodynamics

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Electric Potential

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Magnetic Fields and Forces

Magnetic Induction

Alternating-Current Circuits and Machines

Electromagnetic Waves

Geometrical Optics

Wave Optics

Applications of Optics

Relativity

Quantum Theory

Atomic Theory

Nuclear Physics

Physics in the 21st Century

Filters

How large a force is necessary to stretch a 2.0 mm radius steel wire (Y = 2.0 *10¹¹ N/m²) by 2.0%?

An object moving in simple harmonic motion has an amplitude of 0.020 m and a maximum acceleration of 20 m/s². What is the frequency of the system?

A simple pendulum of length 2.00 m has a mass of 100 g attached. It is drawn back 30.0 $\degree$ and then released. What is the maximum speed of the mass?