Exam 14: Oscillations
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A 5.7 kg block attached to a spring executes simple harmonic motion on a frictionless horizontal surface.At time t = 0 s,the block has a displacement of -0.70 m,a velocity of -0.80 m/s,and an acceleration of +2.7 m/s2.The amplitude of the motion is closest to:
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A
If both the mass of a simple pendulum and its length are doubled,the period will
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Correct Answer:
D
A mass on a spring has an angular oscillation frequency of 2.81 rad/s.The mass has a maximum displacement (when t = 0 s)of 0.232 m.If the spring constant is 29.8 N/m,what is the potential energy stored in the mass-spring system when t = 1.42 s?
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Correct Answer:
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Two identical objects,each with a mass M,are attached to each other via a spring with a spring constant k.The two objects are oscillating such that one is always moving in the opposite direction and with the same speed as the other.If the two objects were made to oscillate with a higher amplitude,
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If pendulum A is twice as long as pendulum B,the period of oscillation of A will be twice as long as the period of B,even if they have different masses.
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As a pendulum swings through its cycle,the mass is moving fastest and has its greatest acceleration at the bottom of the swing.
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A 2.0 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 590 N/m.The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the x-axis (horizontal).The velocity of the block at time t = 0.10 s is closest to:
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The period of a simple pendulum in a grandfather clock on another planet is 1.66 s.What is the acceleration due to gravity on this planet? Assume that the length of the pendulum is 1.00 m.
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A 3.42 kg mass hanging vertically from a spring on the Earth (where g = 9.8 m/s2)undergoes simple oscillatory motion.If the spring constant is 12 N/m,find the period of oscillation of this setup on the moon,where g = 1.6 m/s2.
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A 0.12 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 570 N/m.The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the x-axis (horizontal).The displacement of the block at time t = 0.20 s is closest to:
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A mass is oscillating at the end of a spring.Neither the period of oscillation nor the maximum speed of the mass depend on the amplitude of the motion.
(True/False)
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An object undergoing simple harmonic motion has a maximum displacement of 6.2 m at t = 0.0 s.If the angular frequency of oscillation is 1.6 rad/s,what is the object's displacement when t = 3.5 s?
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A pendulum released from 65 degrees with the vertical will vibrate with the same frequency as if it were released from 5 degrees with the vertical.
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A mass attached to a spring would vibrate with the same frequency in an orbiting satellite as it does at Earth's surface,but a pendulum would not have the same frequency that it has at Earth's surface.
(True/False)
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A 0.16 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 360 N/m.The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the x-axis (horizontal).When the displacement is x = -0.037 m,the acceleration of the block is closest to:
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Two identical objects,each with a mass M,are attached to each other via a spring with a spring constant k.The two objects are oscillating such that one is always moving in the opposite direction and with the same speed as the other.If the two objects were made to oscillate with a higher amplitude,the period of oscillation would
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A leaky faucet drips 40 times in 30.0 s.What is the frequency of the dripping?
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A rotating merry-go-round has an angular velocity of 0.184 rad/s.Find the period of rotation of the merry-go-round.
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If the frequency of a harmonic oscillator doubles,by what factor does the maximum value of acceleration change?
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A 2.0 kg block on a frictionless table is connected to two springs with spring constants k1 and k21 whose opposite ends are fixed to walls,as show in the figure.What is the oscillation angular frequency if k1 = 7.6 N/m and k2= 5.0 N/m? 
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