Question 1

A 0.20-kg object mass attached to a spring whose spring constant is 500 N/m executes simple harmonic motion.If its maximum speed is 5.0 m/s, the amplitude of its oscillation is:

Accepted Answer

A)  0.0020 m
B)  0.10 m
C)  0.20 m
D)  25 m
E)  250 mF) B) and D)
G) B) and E)

Question 2

In simple harmonic motion, the restoring force must be proportional to the:

Accepted Answer

A)  amplitude
B)  frequency
C)  velocity
D)  displacement
E)  displacement squaredF) B) and E)
G) C) and D)

Question 3

Five particles undergo damped harmonic motion.Values for the spring constant k, the damping constant b, and the mass m are given below.Which leads to the smallest rate of loss of mechanical energy?

Accepted Answer

A)  k = 100 N/m, m = 50 g, b = 8 g∙m/s
B)  k = 150 N/m, m = 50 g, b = 5 g∙m/s
C)  k = 150 N/m, m = 10 g, b = 8 g∙m/s
D)  k = 200 N/m, m = 8 g, b = 6 g∙m/s
E)  k = 100 N/m, m = 2 g, b = 4 g∙m/sF) A) and B)
G) A) and C)

Question 4

A particle is in simple harmonic motion along the x axis.The amplitude of the motion is xm.When it is at x = x1, its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J.When its potential energy is 8 J, it is at:

Accepted Answer

A)  x = 0
B)  x = x1
C)  x = xm/2
D)  x = xm/ m.When it is at x = x1, its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J.When its potential energy is 8 J, it is at: 
A)  x = 0 
B)  x = x1 
C)  x = xm/2 
D)  x = xm/   
E)  x = xm" class="answers-bank-image d-inline" rel="preload" >
E)  x = xmF) B) and D)
G) A) and B)

Question 5

A disk whose rotational inertia is 450 kg∙m2 hangs from a wire whose torsion constant is 2300 N∙m/rad.When its angular displacement is −0.23 rad, what is its angular acceleration?

Accepted Answer

A)  1.0 x 10-2 rad/s2
B)  4.5 x 10-2 rad/s2
C)  0.23 rad/s2
D)  0.52 rad/s2
E)  1.2 rad/s2F) C) and E)
G) B) and D)

Question 6

A simple pendulum of length L and mass M has frequency f.To increase its frequency to 2f:

Accepted Answer

A)  increase its length to 4L
B)  increase its length to 2L
C)  decrease its length to L/2
D)  decrease its length to L/4
E)  decrease its mass to < M/4F) A) and B)
G) A) and E)

Question 7

A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m.If the system has an energy of 6.0 J, then the amplitude of the oscillation is:

Accepted Answer

A)  0.06 m
B)  0.17 m
C)  0.24 m
D)  4.9 m
E)  6.9 mF) None of the above
G) A) and B)

Question 8

A 1.2-kg mass is oscillating without friction on a spring whose spring constant is 3400 N/m.When the mass's displacement is 7.2 cm, what is its acceleration?

Accepted Answer

A)  −3.8 m/s2
B)  −200 m/s2
C)  −240 m/s2
D)  −2.0 x 104 m/s2
E)  cannot be calculated without more informationF) D) and E)
G) B) and E)

Question 9

A particle is in simple harmonic motion with period T.At time t = 0 it is at the equilibrium point.At the times listed below it is at various points in its cycle.Which of them is farthest away from the equilibrium point?

Accepted Answer

A)  0.5T
B)  0.7T
C)  T
D)  1.4T
E)  1.5TF) B) and D)
G) All of the above B

Question 10

For an oscillator subjected to a damping force proportional to its velocity:

Accepted Answer

A)  the displacement is a sinusoidal function of time
B)  the velocity is a sinusoidal function of time
C)  the frequency is a decreasing function of time
D)  the mechanical energy is constant
E)  none of the above is trueF) A) and D)
G) None of the above

Question 11

A particle is in simple harmonic motion along the x axis.The amplitude of the motion is xm.At one point in its motion its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J.When it is at x = xm, the kinetic and potential energies are:

Accepted Answer

A)  K = 5 J and U = 3 J
B)  K = 5 J and U = -3 J
C)  K = 8 J and U = 0 J
D)  K = 0 J and U = 8 J
E)  K = 0 J and U = -8 JF) C) and D)
G) A) and D)

Question 12

Which of the following is the difference between a simple pendulum and a physical pendulum?

Accepted Answer

A)  The physical pendulum does not rotate around its center of mass.
B)  The physical pendulum does not depend on the acceleration of gravity.
C)  The physical pendulum has an extended mass.
D)  The simple pendulum has a small amplitude.
E)  The physical pendulum rotates around its center of mass.F) B) and C)
G) B) and E)

Question 13

The angular displacement of a simple pendulum is given by θ(t) = θm cos (ωt + φ) .If the pendulum is 45 cm in length, and is given an angular speed dθ/dt = 3.4 rad/s at time t = 0, when it is hanging vertically, what is θm?

Accepted Answer

A)  4.6 rad
B)  3.4 rad
C)  1.4 rad
D)  0.73 rad
E)  0.45 radF) A) and D)
G) All of the above

Question 14

An object attached to one end of a spring makes 20 complete vibrations in 10s.Its period is:

Accepted Answer

A)  2 Hz
B)  10 s
C)  0.5 Hz
D)  2 s
E)  0.50 sF) B) and C)
G) C) and D)

Question 15

It is impossible for two particles, each executing simple harmonic motion, to remain in phase with each other if they have different:

Accepted Answer

A)  masses
B)  periods
C)  amplitudes
D)  spring constants
E)  kinetic energiesF) B) and D)
G) None of the above B

Question 16

The acceleration of a body executing simple harmonic motion leads the velocity by what phase?

Accepted Answer

A)  0 rad
B)  "  π\piπ /8 rad"
C)  "  π\piπ /4 rad"
D)  "  π\piπ /2 rad"
E)  "  π\piπ  rad" F) A) and E)
G) C) and D)

Question 17

A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m.If the oscillation is started by elongating the spring 0.15 m and giving the block a speed of 3.0 m/s, then the maximum speed of the block is:

Accepted Answer

A)  0.13 m/s
B)  0.18 m/s
C)  3.7 m/s
D)  5.2 m/s
E)  13 m/sF) B) and C)
G) B) and D)

Question 18

A block attached to a spring oscillates in simple harmonic motion along the x axis.The limits of its motion are x = 10 cm and x = 50 cm and it goes from one of these extremes to the other in 0.25 s.Its amplitude and frequency are:

Accepted Answer

A)  40 cm, 2 Hz
B)  20 cm, 4 Hz
C)  40 cm, 4 Hz
D)  25 cm, 4 Hz
E)  20 cm, 2 HzF) A) and E)
G) A) and B) E

Question 19

An object attached to one end of a spring makes 20 vibrations in 10 seconds.Its frequency is:

Accepted Answer

A)  2 Hz
B)  10 s
C)  0.05 Hz
D)  2 s
E)  0.50 sF) D) and E)
G) C) and D)

Question 20

A 3-kg block, attached to a spring, executes simple harmonic motion according to x = 2cos(50t) where x is in meters and t is in seconds.The spring constant of the spring is:

Accepted Answer

A)  1 N/m
B)  100 N/m
C)  150 N/m
D)  7500 N/m
E)  none of theseF) B) and C)
G) B) and D)

Exam 15: Oscillations

A 0.20-kg object mass attached to a spring whose spring constant is 500 N/m executes simple harmonic motion.If its maximum speed is 5.0 m/s, the amplitude of its oscillation is:

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In simple harmonic motion, the restoring force must be proportional to the:

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Five particles undergo damped harmonic motion.Values for the spring constant k, the damping constant b, and the mass m are given below.Which leads to the smallest rate of loss of mechanical energy?

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A particle is in simple harmonic motion along the x axis.The amplitude of the motion is xm.When it is at x = x1, its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J.When its potential energy is 8 J, it is at:

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A disk whose rotational inertia is 450 kg∙m2 hangs from a wire whose torsion constant is 2300 N∙m/rad.When its angular displacement is −0.23 rad, what is its angular acceleration?

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A simple pendulum of length L and mass M has frequency f.To increase its frequency to 2f:

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A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m.If the system has an energy of 6.0 J, then the amplitude of the oscillation is:

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A 1.2-kg mass is oscillating without friction on a spring whose spring constant is 3400 N/m.When the mass's displacement is 7.2 cm, what is its acceleration?

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A particle is in simple harmonic motion with period T.At time t = 0 it is at the equilibrium point.At the times listed below it is at various points in its cycle.Which of them is farthest away from the equilibrium point?

Correct AnswerverifiedB

For an oscillator subjected to a damping force proportional to its velocity:

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A particle is in simple harmonic motion along the x axis.The amplitude of the motion is xm.At one point in its motion its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J.When it is at x = xm, the kinetic and potential energies are:

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Which of the following is the difference between a simple pendulum and a physical pendulum?

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The angular displacement of a simple pendulum is given by θ(t) = θm cos (ωt + φ) .If the pendulum is 45 cm in length, and is given an angular speed dθ/dt = 3.4 rad/s at time t = 0, when it is hanging vertically, what is θm?

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An object attached to one end of a spring makes 20 complete vibrations in 10s.Its period is:

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It is impossible for two particles, each executing simple harmonic motion, to remain in phase with each other if they have different:

Correct AnswerverifiedB

The acceleration of a body executing simple harmonic motion leads the velocity by what phase?

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A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m.If the oscillation is started by elongating the spring 0.15 m and giving the block a speed of 3.0 m/s, then the maximum speed of the block is:

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A block attached to a spring oscillates in simple harmonic motion along the x axis.The limits of its motion are x = 10 cm and x = 50 cm and it goes from one of these extremes to the other in 0.25 s.Its amplitude and frequency are:

Correct AnswerverifiedE

An object attached to one end of a spring makes 20 vibrations in 10 seconds.Its frequency is:

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A 3-kg block, attached to a spring, executes simple harmonic motion according to x = 2cos(50t) where x is in meters and t is in seconds.The spring constant of the spring is:

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A particle is in simple harmonic motion along the x axis.The amplitude of the motion is x_m.When it is at x = x₁, its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J.When its potential energy is 8 J, it is at:

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A disk whose rotational inertia is 450 kg∙m² hangs from a wire whose torsion constant is 2300 N∙m/rad.When its angular displacement is −0.23 rad, what is its angular acceleration?

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B

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A particle is in simple harmonic motion along the x axis.The amplitude of the motion is x_m.At one point in its motion its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J.When it is at x = x_m, the kinetic and potential energies are:

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The angular displacement of a simple pendulum is given by θ(t) = θ_m cos (ωt + φ) .If the pendulum is 45 cm in length, and is given an angular speed dθ/dt = 3.4 rad/s at time t = 0, when it is hanging vertically, what is θ_m?

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B

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E

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