Question 1

A 2-kg mass oscillates in one dimension with simple harmonic motion on the end of a massless spring on a horizontal frictionless table according to  where the units are SI.The total mechanical energy of this system is

Accepted Answer

A) 1 J 
B) 3 J 
C) 5 J 
D) 7 J 
E) 9 J

Question 2

A simple way to test if a device can withstand high "g-force" is to attach the device to a vibrating platform.Suppose a device has to withstand up to 5g's,and the amplitude of the oscillation is 5 cm,the frequency of the vibration should be

Accepted Answer

A) 5 Hz 
B) 981 Hz 
C) 31.3 Hz 
D) 44.3 Hz 
E) 62.6 Hz

Question 3

Both a mass-spring system and a simple pendulum have a period of 1 s.Both are taken to the moon in a lunar landing module.While they are inside the module on the surface of the moon,

Accepted Answer

A) the pendulum has a period longer than 1 s. 
B) the mass-spring system has a period longer than 1 s. 
C) both a and b are true. 
D) the periods of both are unchanged. 
E) one of them has a period shorter than 1 s.

Question 4

The top graph represents the variation of displacement with time for a particle executing simple harmonic motion.Which curve in the bottom graph represents the variation of acceleration with time for the same particle?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) None of these is correct.

Question 5

Use the following to answer the question: 
-The object in the diagram is in circular motion with frequency f.At t = 0 it was at (A,0).The y component of its velocity is given by

Accepted Answer

A) vy2 = v0y2 + 2a(y - y0) 
B) vy = 2$\pi$fA cos 2$\pi$t 
C) vy = A sin ft 
D) vy = 2$\pi$fA sin 2$\pi$ft 
E) vy = A cos ft

Question 6

Use the following to answer question: 
-The graph shows the average power delivered to an oscillating system as a function of the driving frequency.According to these data

Accepted Answer

A) the resonant frequency is greater than $\omega$o. 
B) the system corresponding to curve 1 has the largest quality factor. 
C) the system corresponding to curve 4 has the largest quality factor. 
D) the resonant frequency is less than $\omega$o. 
E) None of these is correct.

Question 7

The mass on the end of the spring (which stretches linearly)is in equilibrium as shown.It is pulled down so that the pointer is opposite the 11-cm mark and then released.The mass experiences its maximum upward velocity at which of the following positions?

Accepted Answer

A) 3-cm mark 
B) 7-cm mark 
C) 1-cm mark 
D) 11-cm mark 
E) None of these is correct.

Question 8

A 1.0-kg mass oscillates along the x axis with simple harmonic motion.Its position as a function of time is given by  where the units are SI.When t = 2 s,the kinetic energy of the mass is

Accepted Answer

A) $\pi$2/24 J 
B) $\pi$2/72 J 
C) 2$\pi$2/9 J 
D) 4$\pi$2/9 J 
E) $\pi$2/4 J

Question 9

In simple harmonic motion,the magnitude of the acceleration of a body is always directly proportional to its

Accepted Answer

A) displacement. 
B) velocity. 
C) mass. 
D) potential energy. 
E) kinetic energy.

Question 10

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.

Question 11

Use the following to answer question: 
-The graph shows the average power delivered to an oscillating system as a function of the driving frequency.According to these data,the damping is least for system(s)

Accepted Answer

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

Question 12

If the amplitude of a simple harmonic oscillator is doubled,the total energy is

Accepted Answer

A) unchanged. 
B) one-fourth as large. 
C) half as large. 
D) doubled. 
E) quadrupled.

Question 13

A body of mass M suspended from a spring oscillates with a period T.If the mass of the spring can be neglected,a body of mass 2M,suspended from the same spring,oscillates with a period of

Accepted Answer

A) T/2 
B)   
C) T 
D)   
E) 2T

Question 14

Use the figure to answer the next 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. 
-The angular frequency of the oscillation is

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

A mass on a spring oscillates with an amplitude of 5.0 cm.What is the position of the mass when the kinetic and potential energies are equal?

Accepted Answer

A) There is not enough information provided to answer this question. 
B) 1.2 cm 
C) 2.5 cm 
D) 3.5 cm 
E) 3.8 cm

Question 16

The energy of a simple harmonic oscillator could be doubled by increasing the amplitude by a factor of

Accepted Answer

A) 0.7 
B) 1.0 
C) 1.4 
D) 2.0 
E) 4.0

Question 17

Use the figure to the right to answer the next problem. A ball of mass m = 100 g and radius r = 10 cm is suspended from a light spring with spring constant k = 4 N / m.The ball is then immersed in oil with viscosity F1F1F1S1= 0.2 Pa.s , and set into oscillation with an initial amplitude of A = 2 cm. 
-The oscillation is

Accepted Answer

A) very weakly damped. 
B) weakly damped. 
C) critically damped. 
D) overdamped. 
E) unable to tell

Question 18

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.

Question 19

An object is moving with simple harmonic motion.When the object is displaced 4 cm from its equilibrium point,its acceleration is 20 cm/s2.Calculate the period T.

Accepted Answer

A) 0.45 s 
B) 0.36 s 
C) 2.2 s 
D) 2.8 s 
E) none of the above

Question 20

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

Accepted Answer

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

Exam 14: Oscillations

A 2-kg mass oscillates in one dimension with simple harmonic motion on the end of a massless spring on a horizontal frictionless table according to where the units are SI.The total mechanical energy of this system is

A simple way to test if a device can withstand high "g-force" is to attach the device to a vibrating platform.Suppose a device has to withstand up to 5g's,and the amplitude of the oscillation is 5 cm,the frequency of the vibration should be

Both a mass-spring system and a simple pendulum have a period of 1 s.Both are taken to the moon in a lunar landing module.While they are inside the module on the surface of the moon,

The top graph represents the variation of displacement with time for a particle executing simple harmonic motion.Which curve in the bottom graph represents the variation of acceleration with time for the same particle?

The mass on the end of the spring (which stretches linearly) is in equilibrium as shown.It is pulled down so that the pointer is opposite the 11-cm mark and then released.The mass experiences its maximum upward velocity at which of the following positions?

In simple harmonic motion,the magnitude of the acceleration of a body is always directly proportional to its

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

Use the following to answer question: -The graph shows the average power delivered to an oscillating system as a function of the driving frequency.According to these data,the damping is least for system(s)

If the amplitude of a simple harmonic oscillator is doubled,the total energy is

A body of mass M suspended from a spring oscillates with a period T.If the mass of the spring can be neglected,a body of mass 2M,suspended from the same spring,oscillates with a period of

A mass on a spring oscillates with an amplitude of 5.0 cm.What is the position of the mass when the kinetic and potential energies are equal?

The energy of a simple harmonic oscillator could be doubled by increasing the amplitude by a factor of

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

An object is moving with simple harmonic motion.When the object is displaced 4 cm from its equilibrium point,its acceleration is 20 cm/s².Calculate the period T.

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

Exam 14: Oscillations

A 2-kg mass oscillates in one dimension with simple harmonic motion on the end of a massless spring on a horizontal frictionless table according to where the units are SI.The total mechanical energy of this system is

A simple way to test if a device can withstand high "g-force" is to attach the device to a vibrating platform.Suppose a device has to withstand up to 5g's,and the amplitude of the oscillation is 5 cm,the frequency of the vibration should be

Both a mass-spring system and a simple pendulum have a period of 1 s.Both are taken to the moon in a lunar landing module.While they are inside the module on the surface of the moon,

The top graph represents the variation of displacement with time for a particle executing simple harmonic motion.Which curve in the bottom graph represents the variation of acceleration with time for the same particle?

Use the following to answer the question: -The object in the diagram is in circular motion with frequency f.At t = 0 it was at (A,0) .The y component of its velocity is given by

Use the following to answer question: -The graph shows the average power delivered to an oscillating system as a function of the driving frequency.According to these data

The mass on the end of the spring (which stretches linearly) is in equilibrium as shown.It is pulled down so that the pointer is opposite the 11-cm mark and then released.The mass experiences its maximum upward velocity at which of the following positions?

A 1.0-kg mass oscillates along the x axis with simple harmonic motion.Its position as a function of time is given by where the units are SI.When t = 2 s,the kinetic energy of the mass is

In simple harmonic motion,the magnitude of the acceleration of a body is always directly proportional to its

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

Use the following to answer question: -The graph shows the average power delivered to an oscillating system as a function of the driving frequency.According to these data,the damping is least for system(s)

If the amplitude of a simple harmonic oscillator is doubled,the total energy is

A body of mass M suspended from a spring oscillates with a period T.If the mass of the spring can be neglected,a body of mass 2M,suspended from the same spring,oscillates with a period of

A mass on a spring oscillates with an amplitude of 5.0 cm.What is the position of the mass when the kinetic and potential energies are equal?

The energy of a simple harmonic oscillator could be doubled by increasing the amplitude by a factor of

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

An object is moving with simple harmonic motion.When the object is displaced 4 cm from its equilibrium point,its acceleration is 20 cm/s2.Calculate the period T.

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

An object is moving with simple harmonic motion.When the object is displaced 4 cm from its equilibrium point,its acceleration is 20 cm/s².Calculate the period T.