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The x-t graph of a particle undergoing s...

The `x-t` graph of a particle undergoing simple harmonic motion is shown below. The accelertion of the particle at `t = 4//3 s` is

A

`(sqrt(3))/(32) pi^(2) cm // s^(2)`

B

`(- pi^(2))/(32) cm //s^(2)`

C

`(pi^(2))/(32) cm //s^(2)`

D

`- (sqrt(3))/(32) pi^(2) cm //s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
` x = a sin omega t , omega = (2 pi)/( T) = (2 pi)/( 8) = (pi)/(4)`
Acceleration (a) ` = - A omega^(2) sin omega t `
`= - ((pi)/( 4))^(2) sin ((pi)/(4) xx (4)/(3)) = (- sqrt(3) pi^(2))/(32) cm //s^(2)`
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