Exercise 14.2 If an object on a horizontal frictionless surface is attached to a

Question

Exercise 14.2

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then released, it will oscillate. If it is displaced a distance 0.115 mfrom its equilibrium position and released with zero initial speed. Then after a time 0.780 s its displacement is found to be a distance 0.115 m on the opposite side, and it has passed the equilibrium position once during this interval.

Part A

Find the amplitude.

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Part B

Find the period.

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Part C

Find the frequency.

Exercise 14.2

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then released, it will oscillate. If it is displaced a distance 0.115 mfrom its equilibrium position and released with zero initial speed. Then after a time 0.780 s its displacement is found to be a distance 0.115 m on the opposite side, and it has passed the equilibrium position once during this interval.

Part A

Find the amplitude.

A = m

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Part B

Find the period.

T = s

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Part C

Find the frequency.

Explanation / Answer

A=0.115m
Amplitude is defined as a maximum displacement above the center of oscillations(equilibrium position).
y=Asin(wt) where w=2 pi f
and since there is no friction the oscillation has no damping and the block will move continuously with the same amplitude.

T=2(0.780)s=1.56s (time from max to back to max point)

f=1/T=0.641Hz

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