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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 in figure. Acceleration of 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:
D
Displacement equation from graph
`X = sin (pi/(4t))[:' omega = (2pi)/(T) - (2pi)/(8) = (pi)/(4)]`
Acceleration `a = - (pi^(2))/(16) sin (pi/4t)`
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