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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

`(sqrt3)/(32)pi^(2)"cm s"^(-2)`

B

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

C

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

D

`-(sqrt3)/(32)pi^(2)"cm s"^(-2)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • 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 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)`

  • The x-t graph of a particle undergoing SHM is as shown in figure. The acceleration of the particle at t=2//3 is

    A
    `(sqrt(3))/(32)pi^(2)cms^(-2)`
    B
    `-(pi^(2))/(32)cms^(-2)`
    C
    `(pi^(2))/(32)cms^(-2)`
    D
    `-sqrt(3)/(32)pi^(2)cms^(-2)`

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