The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle of `t=4//3s` is A. `(sqrt3)/(32)pi^2cm//s^2`B. `(-pi^2)/(32)cm//s^2`C. `(pi^2)/(32)cm//s^2`D. `-(sqrt3)/(32)pi^2cm//s^2`

The x-t graph of a particle undergoing simple harmonic motion is shown

1.	The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle of `t=4//3s` is A. `(sqrt3)/(32)pi^2cm//s^2`B. `(-pi^2)/(32)cm//s^2`C. `(pi^2)/(32)cm//s^2`D. `-(sqrt3)/(32)pi^2cm//s^2`
Answer» Correct Answer - D Let `x=Asin(omegat+phi)` At `t=0`, `x=0`, `phi=0` `T=8s`, `omega=(2pi)/(T)=(2pi)/(8)=pi/4 rad//s`, `a=1cm` `x=A sin omegat=1xxsin((pi)/(4))t` At `t=4/3s`, `x=sin((pi)/(4))*4/3=sqrt3/2` `a=-omega^2x=-(pi/4)^2sqrt3/2=-(sqrt3pi^2)/(32)cm//s^2`

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The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle of `t=4//3s` is A. `(sqrt3)/(32)pi^2cm//s^2`B. `(-pi^2)/(32)cm//s^2`C. `(pi^2)/(32)cm//s^2`D. `-(sqrt3)/(32)pi^2cm//s^2`

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