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Time Period Independent of Amplitude

A simple harm...

Question

A simple harmonic motion of amplitude A has a time period T. The acceleration of the oscillator when its displacement is half the amplitude is

A

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B

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C

-

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D

-

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Solution

The correct option is D -
Acceleration = $- ω^{2} x = - {(\frac{2 π}{T})}^{2} \times \frac{A}{2} = - \frac{2 π^{2} A}{T^{2}}$ which is choice (d).

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