Problem 11.25 If an object on a horizontal frictionless surface is attached to a

Question

Problem 11.25

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then released, it oscillates. Suppose it is displaced 0.128 m from its equilibrium position and released with zero initial speed. After 0.830 s , its displacement is found to be 0.128 m on the opposite side and it has passed the equilibrium position once during this interval.

Part A

Find the amplitude of the motion.

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Part B

Find the period of the motion.

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Part C

Find the frequency of the motion.

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Problem 11.25

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then released, it oscillates. Suppose it is displaced 0.128 m from its equilibrium position and released with zero initial speed. After 0.830 s , its displacement is found to be 0.128 m on the opposite side and it has passed the equilibrium position once during this interval.

Part A

Find the amplitude of the motion.

A = m

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Part B

Find the period of the motion.

T = s

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Part C

Find the frequency of the motion.

f = Hz

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Explanation / Answer

amplitude of the motion = maximum displacement

amplitude of the motion = 0.128 m

period of motion = one cycle of motion

half ctcle of motion is made in 0.830 sec

full cycle will be made in 2 * 0.830

time period = 1.66 sec

frequency = 1 / time period

frequency = 1 / 1.66

frequency = 0.6024 Hz

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