Question 1

A 2.15 kg lightly damped harmonic oscillator has an angular oscillation frequency of 0.261 rad/s.If the maximum displacement of  occurs when t = 0.00 s,and the damping constant b is 0.74 kg/s what is the object's displacement when t = 4.01 s?

Accepted Answer

A)  0.50 m
B)  0.43 m
C)  0.58 m
D)  0.65 mE) A) and B)
F) A) and C)

Question 2

A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0.27 s and a range (from the maximum in one direction to the maximum in the other) of 3.0 cm.At time t = 0 it is at its central position and moving in the +x direction.What is its position when t = 55 s?

Accepted Answer

A)  x = -0.43 cm
B)  x = -0.51 cm
C)  x = +0.51 cm
D)  x = -1.3 cm
E)  x = -1.4 cmF) C) and E)
G) B) and E)

Question 3

A certain frictionless simple pendulum having a length L and mass M swings with period T.If both L and M are doubled,what is the new period?

Accepted Answer

A)  4T
B)  2T
C)    T
D)  T
E)  T/4F) None of the above
G) A) and E)

Question 4

If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Accepted Answer

A)  increases by a factor of  .
B)  increases by a factor of 2.
C)  increases by a factor of 3.
D)  increases by a factor of 4.
E)  does not change.F) B) and D)
G) A) and E)

Question 5

A mass M is attached to an ideal massless spring.When this system is set in motion with amplitude A,it has a period T.What is the period if the amplitude of the motion is increased to 2A?

Accepted Answer

A)  2T
B)  T/2
C)    T
D)  4T
E)  TF) A) and E)
G) A) and B)

Question 6

An object that weighs 2.450 N is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.640 s.What is the spring constant of the spring?

Accepted Answer

A)  2.45 N/m
B)  12.1 N/m
C)  24.1 N/m
D)  0.102 N/m
E)  0.610 N/mF) C) and D)
G) A) and B)

Question 7

A lightly damped harmonic oscillator,with a damping force proportional to its speed,is oscillating with an amplitude of 0.500 cm at time t = 0.When t = 8.20 s,the amplitude has died down to 0.400 cm.At what value of t will the oscillations have an amplitude of 0.250 cm?

Accepted Answer

A)  18.5 s
B)  20.5 s
C)  16.5 s
D)  25.5 s
E)  5.13 sF) A) and C)
G) B) and C)

Question 8

If we double only the mass of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Accepted Answer

A)  increases by a factor of  .
B)  increases by a factor of 2.
C)  increases by a factor of 3.
D)  increases by a factor of 4.
E)  does not change.F) B) and C)
G) B) and E)

Question 9

A 2.00-kg object is attached to an ideal massless horizontal spring of spring constant 100.0 N/m and is at rest on a frictionless horizontal table.The spring is aligned along the x-axis and is fixed to a peg in the table.Suddenly this mass is struck by another 2.00-kg object traveling along the x-axis at 3.00 m/s,and the two masses stick together.What are the amplitude and period of the oscillations that result from this collision?

Accepted Answer

A)  0.300 m,1.26 s
B)  0.300 m,0.889 s
C)  0.424 m,0.889 s
D)  0.424 m,1.26 s
E)  0.424 m,5.00 sF) A) and D)
G) All of the above

Exam 15: Oscillations

A lightly damped harmonic oscillator,with a damping force proportional to its speed,is oscillating with an amplitude of 0.500 cm at time t = 0.When t = 8.20 s,the amplitude has died down to 0.400 cm.At what value of t will the oscillations have an amplitude of 0.250 cm?

Correct Answer
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A mass M is attached to an ideal massless spring.When this system is set in motion with amplitude A,it has a period T.What is the period if the amplitude of the motion is increased to 2A?

Correct Answer
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If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Correct Answer
verified

A 2.15 kg lightly damped harmonic oscillator has an angular oscillation frequency of 0.261 rad/s.If the maximum displacement of occurs when t = 0.00 s,and the damping constant b is 0.74 kg/s what is the object's displacement when t = 4.01 s?

Correct Answer
verified

An object that weighs 2.450 N is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.640 s.What is the spring constant of the spring?

Correct Answer
verified

If we double only the mass of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Correct Answer
verified

A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0.27 s and a range (from the maximum in one direction to the maximum in the other) of 3.0 cm.At time t = 0 it is at its central position and moving in the +x direction.What is its position when t = 55 s?

Correct Answer
verified

A certain frictionless simple pendulum having a length L and mass M swings with period T.If both L and M are doubled,what is the new period?

Correct Answer
verified

Correct Answer
verified

Exam 15: Oscillations

A lightly damped harmonic oscillator,with a damping force proportional to its speed,is oscillating with an amplitude of 0.500 cm at time t = 0.When t = 8.20 s,the amplitude has died down to 0.400 cm.At what value of t will the oscillations have an amplitude of 0.250 cm?

Correct AnswerverifiedShow Answer

A mass M is attached to an ideal massless spring.When this system is set in motion with amplitude A,it has a period T.What is the period if the amplitude of the motion is increased to 2A?

Correct AnswerverifiedShow Answer

If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Correct AnswerverifiedShow Answer

A 2.15 kg lightly damped harmonic oscillator has an angular oscillation frequency of 0.261 rad/s.If the maximum displacement of occurs when t = 0.00 s,and the damping constant b is 0.74 kg/s what is the object's displacement when t = 4.01 s?

Correct AnswerverifiedShow Answer

An object that weighs 2.450 N is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.640 s.What is the spring constant of the spring?

Correct AnswerverifiedShow Answer

If we double only the mass of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Correct AnswerverifiedShow Answer

A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0.27 s and a range (from the maximum in one direction to the maximum in the other) of 3.0 cm.At time t = 0 it is at its central position and moving in the +x direction.What is its position when t = 55 s?

Correct AnswerverifiedShow Answer

A certain frictionless simple pendulum having a length L and mass M swings with period T.If both L and M are doubled,what is the new period?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Correct Answer
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