Question 1

When the compression of a spring is doubled, the potential energy stored in the spring is

Accepted Answer

A)  the same as before. 
B)  doubled. 
C)  tripled. 
D)  increased by a factor of 8. 
E)  None of these is correct. 
A)  the same as before. 
B)  doubled. 
C)  tripled. 
D)  increased by a factor of 8. 
E)  None of these is correct.

Question 2

A mass attached to a spring has simple harmonic motion with an amplitude of 4.0 cm. When the mass is 2.0 cm from the equilibrium position, what fraction of its total energy is potential energy?

Accepted Answer

A)  one-quarter 
B)  one-third 
C)  one-half 
D)  two-thirds 
E)  three-quarters 
A)  one-quarter 
B)  one-third 
C)  one-half 
D)  two-thirds 
E)  three-quarters

Question 3

A 10-kg block starts from rest at a vertical height of 1 m on a 30º frictionless inclined plane. If the block slides down the incline and then 20 m along a frictionless horizontal surface into a fixed spring with a force constant of 100 N/m, the spring is compressed approximately

Accepted Answer

A)  1.4 m 
B)  2.0 m 
C)  0.33 m 
D)  0.98 m 
E)  2.5 m 
A)  1.4 m 
B)  2.0 m 
C)  0.33 m 
D)  0.98 m 
E)  2.5 m

Question 4

A body moves in simple harmonic motion with amplitude A and period T. The minimum time for the body to move from a displacement of A to A/2 is

Accepted Answer

A)  T/2 
B)  T/4 
C)  T/6 
D)  T/12 
E)  T/16 
A)  T/2 
B)  T/4 
C)  T/6 
D)  T/12 
E)  T/16

Question 5

If the length of a simple pendulum is increased by 4% and the mass is decreased by 4%, the period is

Accepted Answer

A)  not changed. 
B)  increased by 2%. 
C)  decreased by 4%. 
D)  increased by 4%. 
E)  decreased by 2%. 
A)  not changed. 
B)  increased by 2%. 
C)  decreased by 4%. 
D)  increased by 4%. 
E)  decreased by 2%.

Question 6

To double the period of a pendulum, the length

Accepted Answer

A)  must be increased by a factor of 2. 
B)  must be decreased by a factor of 2. 
C)  must be increased by a factor of   . 
D)  must be increased by a factor of 4. 
E)  need not be affected. 
A)  must be increased by a factor of 2. 
B)  must be decreased by a factor of 2. 
C)  must be increased by a factor of   . 
D)  must be increased by a factor of 4. 
E)  need not be affected.

Question 7

A mass of 2.00 kg suspended from a spring 100 cm long is pulled down 4.00 cm from its equilibrium position and released. The amplitude of vibration of the resulting simple harmonic motion is

Accepted Answer

A)  4.00 cm 
B)  2.00 cm 
C)  8.00 cm 
D)  1.04 cm 
E)  1.02 cm 
A)  4.00 cm 
B)  2.00 cm 
C)  8.00 cm 
D)  1.04 cm 
E)  1.02 cm

Question 8

Which of the following statements is true for a simple harmonic oscillator that is not subject to dissipative forces?

Accepted Answer

A)  The potential energy of the system attains a maximum value when the displacement is one-half the amplitude. 
B)  The kinetic energy of the system attains a maximum value when the acceleration has the greatest absolute value. 
C)  The total mechanical energy of the system decreases as the mass slows down and increases as the mass speeds up. 
D)  The total mechanical energy of the system is equal to the maximum value of the kinetic energy of the system. 
E)  The period of the oscillation varies inversely as the displacement amplitude. 
A)  The potential energy of the system attains a maximum value when the displacement is one-half the amplitude. 
B)  The kinetic energy of the system attains a maximum value when the acceleration has the greatest absolute value. 
C)  The total mechanical energy of the system decreases as the mass slows down and increases as the mass speeds up. 
D)  The total mechanical energy of the system is equal to the maximum value of the kinetic energy of the system. 
E)  The period of the oscillation varies inversely as the displacement amplitude.

Question 9

A mass m hanging on a spring with a spring constant k executes simple harmonic motion with a period T. If the same mass is hung from a spring with a spring constant of 2k, the period of oscillation

Accepted Answer

A)  increases by a factor of 2. 
B)  decreases by a factor of 2. 
C)  increases by a factor of   . 
D)  decreases by a factor of   . 
E)  is not affected. 
A)  increases by a factor of 2. 
B)  decreases by a factor of 2. 
C)  increases by a factor of   . 
D)  decreases by a factor of   . 
E)  is not affected.

Question 10

A giant simple pendulum has a time period of 5.0 s. If the time period is changed to 4.5 s, calculate the change in the length of the string if g is constant at 9.81 m/s2.

Accepted Answer

A)  1.2 m shorter 
B)  0.8 m longer 
C)  1.2 m longer 
D)  0.8 m shorter 
E)  None of the above 
A)  1.2 m shorter 
B)  0.8 m longer 
C)  1.2 m longer 
D)  0.8 m shorter 
E)  None of the above

Question 11

The order, from highest to lowest, of the frequencies of the oscillatory systems shown in the figure is

Accepted Answer

A)  a, b, c 
B)  b, a, c 
C)  c, b, a 
D)  c, a, b 
E)  a, c, b 
A)  a, b, c 
B)  b, a, c 
C)  c, b, a 
D)  c, a, b 
E)  a, c, b

Question 12

A mass m hanging on a spring with a spring constant k has simple harmonic motion with a period T. If the mass is doubled to 2m, the period of oscillation

Accepted Answer

A)  increases by a factor of 2. 
B)  decreases by a factor of 2. 
C)  increases by a factor of   
D)  decreases by a factor of   
E)  is not affected. 
A)  increases by a factor of 2. 
B)  decreases by a factor of 2. 
C)  increases by a factor of   
D)  decreases by a factor of   
E)  is not affected.

Question 13

Two clocks with basic timekeeping mechanisms consisting of (1) a mass on a spring and (2) a simple pendulum are taken to the top of a mountain. At the base of the mountain, they both keep perfect time. At the top of the mountain,

Accepted Answer

A)  neither keeps correct time. 
B)  only the pendulum clock keeps correct time. 
C)  only the mass-spring clock keeps correct time. 
D)  both keep correct time. 
E)  Not enough information is given to answer this question. 
A)  neither keeps correct time. 
B)  only the pendulum clock keeps correct time. 
C)  only the mass-spring clock keeps correct time. 
D)  both keep correct time. 
E)  Not enough information is given to answer this question.

Question 14

The shattering of a crystal glass by an intense sound is an example of

Accepted Answer

A)  resonance. 
B)  a Q factor. 
C)  critical damping. 
D)  an exponential decrease. 
E)  overdamping. 
A)  resonance. 
B)  a Q factor. 
C)  critical damping. 
D)  an exponential decrease. 
E)  overdamping.

Question 15

When an object is oscillating in simple harmonic motion in the vertical direction, its maximum speed occurs when the object

Accepted Answer

A)  is at its highest point. 
B)  is at its lowest point. 
C)  is at the equilibrium point. 
D)  has the maximum net force exerted on it. 
E)  has a position equal to its amplitude. 
A)  is at its highest point. 
B)  is at its lowest point. 
C)  is at the equilibrium point. 
D)  has the maximum net force exerted on it. 
E)  has a position equal to its amplitude.

Question 16

Use the figure to answer the problem. A spring of negligible mass and spring constant k is attached to the wall on one end, and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r. The spring is stretched a distance A from equilibrium and let go. The sphere rolls freely on a smooth surface.  
-What is the linear kinetic energy when the sphere is at the equilibrium position?

Accepted Answer

A)    
B)    
C)    
D)    
E)  undetermined 
A)    
B)    
C)    
D)    
E)  undetermined

Question 17

Use the following to answer question :  
-The graph shows the displacement of an oscillator as a function of time. The oscillator that is overdamped is

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  1, 2, 3, and 4 
A)  1 
B)  2 
C)  3 
D)  4 
E)  1, 2, 3, and 4

Question 18

The differential equation for a damped oscillator is   If the damping is not too large, the time constant for the motion of this oscillator is determined by the

Accepted Answer

A)  spring constant k and the mass m of the system. 
B)  spring constant k and the damping coefficient b of the system. 
C)  mass m and the damping coefficient b of the system. 
D)  initial displacement of the system. 
E)  initial velocity of the system. 
A)  spring constant k and the mass m of the system. 
B)  spring constant k and the damping coefficient b of the system. 
C)  mass m and the damping coefficient b of the system. 
D)  initial displacement of the system. 
E)  initial velocity of the system.

Question 19

In the following equations, a is acceleration, r is a fixed distance, s is displacement, and m is mass. Which equation describes simple harmonic motion?

Accepted Answer

A)  a = -kr2  
B)  a = $\pi$r2  
C)  a = -ks-1  
D)  a = 4$\pi$mr2/3 
E)  a = - 4$\pi$ms/3 
A)  a = -kr2  
B)  a = $\pi$r2  
C)  a = -ks-1  
D)  a = 4$\pi$mr2/3 
E)  a = - 4$\pi$ms/3

Question 20

A ball moves with simple harmonic motion between points A and B. The magnitude of the acceleration of the ball at point C is 5.00 m/s2. The magnitude of the acceleration of the ball at point D is

Accepted Answer

A)  1.25 m/s2  
B)  2.50 m/s2  
C)  5.00 m/s2  
D)  7.50 m/s2  
E)  10.0 m/s2  
A)  1.25 m/s2  
B)  2.50 m/s2  
C)  5.00 m/s2  
D)  7.50 m/s2  
E)  10.0 m/s2

When the compression of a spring is doubled, the potential energy stored in the spring is

A mass attached to a spring has simple harmonic motion with an amplitude of 4.0 cm. When the mass is 2.0 cm from the equilibrium position, what fraction of its total energy is potential energy?

A 10-kg block starts from rest at a vertical height of 1 m on a 30º frictionless inclined plane. If the block slides down the incline and then 20 m along a frictionless horizontal surface into a fixed spring with a force constant of 100 N/m, the spring is compressed approximately

A body moves in simple harmonic motion with amplitude A and period T. The minimum time for the body to move from a displacement of A to A/2 is

If the length of a simple pendulum is increased by 4% and the mass is decreased by 4%, the period is

To double the period of a pendulum, the length

A mass of 2.00 kg suspended from a spring 100 cm long is pulled down 4.00 cm from its equilibrium position and released. The amplitude of vibration of the resulting simple harmonic motion is

Which of the following statements is true for a simple harmonic oscillator that is not subject to dissipative forces?

A mass m hanging on a spring with a spring constant k executes simple harmonic motion with a period T. If the same mass is hung from a spring with a spring constant of 2k, the period of oscillation

A giant simple pendulum has a time period of 5.0 s. If the time period is changed to 4.5 s, calculate the change in the length of the string if g is constant at 9.81 m/s².

The order, from highest to lowest, of the frequencies of the oscillatory systems shown in the figure is

A mass m hanging on a spring with a spring constant k has simple harmonic motion with a period T. If the mass is doubled to 2m, the period of oscillation

Two clocks with basic timekeeping mechanisms consisting of (1) a mass on a spring and (2) a simple pendulum are taken to the top of a mountain. At the base of the mountain, they both keep perfect time. At the top of the mountain,

The shattering of a crystal glass by an intense sound is an example of

When an object is oscillating in simple harmonic motion in the vertical direction, its maximum speed occurs when the object

Use the following to answer question : -The graph shows the displacement of an oscillator as a function of time. The oscillator that is overdamped is

The differential equation for a damped oscillator is If the damping is not too large, the time constant for the motion of this oscillator is determined by the

In the following equations, a is acceleration, r is a fixed distance, s is displacement, and m is mass. Which equation describes simple harmonic motion?

A ball moves with simple harmonic motion between points A and B. The magnitude of the acceleration of the ball at point C is 5.00 m/s². The magnitude of the acceleration of the ball at point D is

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Exam 14: Oscillations

When the compression of a spring is doubled, the potential energy stored in the spring is

A mass attached to a spring has simple harmonic motion with an amplitude of 4.0 cm. When the mass is 2.0 cm from the equilibrium position, what fraction of its total energy is potential energy?

A 10-kg block starts from rest at a vertical height of 1 m on a 30º frictionless inclined plane. If the block slides down the incline and then 20 m along a frictionless horizontal surface into a fixed spring with a force constant of 100 N/m, the spring is compressed approximately

A body moves in simple harmonic motion with amplitude A and period T. The minimum time for the body to move from a displacement of A to A/2 is

If the length of a simple pendulum is increased by 4% and the mass is decreased by 4%, the period is

To double the period of a pendulum, the length

A mass of 2.00 kg suspended from a spring 100 cm long is pulled down 4.00 cm from its equilibrium position and released. The amplitude of vibration of the resulting simple harmonic motion is

Which of the following statements is true for a simple harmonic oscillator that is not subject to dissipative forces?

A mass m hanging on a spring with a spring constant k executes simple harmonic motion with a period T. If the same mass is hung from a spring with a spring constant of 2k, the period of oscillation

A giant simple pendulum has a time period of 5.0 s. If the time period is changed to 4.5 s, calculate the change in the length of the string if g is constant at 9.81 m/s2.

The order, from highest to lowest, of the frequencies of the oscillatory systems shown in the figure is

A mass m hanging on a spring with a spring constant k has simple harmonic motion with a period T. If the mass is doubled to 2m, the period of oscillation

Two clocks with basic timekeeping mechanisms consisting of (1) a mass on a spring and (2) a simple pendulum are taken to the top of a mountain. At the base of the mountain, they both keep perfect time. At the top of the mountain,

The shattering of a crystal glass by an intense sound is an example of

When an object is oscillating in simple harmonic motion in the vertical direction, its maximum speed occurs when the object

Use the following to answer question : -The graph shows the displacement of an oscillator as a function of time. The oscillator that is overdamped is

The differential equation for a damped oscillator is If the damping is not too large, the time constant for the motion of this oscillator is determined by the

In the following equations, a is acceleration, r is a fixed distance, s is displacement, and m is mass. Which equation describes simple harmonic motion?

A ball moves with simple harmonic motion between points A and B. The magnitude of the acceleration of the ball at point C is 5.00 m/s2. The magnitude of the acceleration of the ball at point D is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

A giant simple pendulum has a time period of 5.0 s. If the time period is changed to 4.5 s, calculate the change in the length of the string if g is constant at 9.81 m/s².

A ball moves with simple harmonic motion between points A and B. The magnitude of the acceleration of the ball at point C is 5.00 m/s². The magnitude of the acceleration of the ball at point D is