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

Options

  1. A3 32 ^2 cms ⁻²
  2. B- ^2 32 cms ⁻²
  3. C^2 32 cms ⁻²
  4. D- 3 32 ^2 cms ⁻²

Correct answer

D. - 3 32 ^2 cms ⁻²

Step-by-step solution

T=8 ~s , = 2 T = ( 4 ) rads ⁻¹ aligned x & =A t a=- ^2 x & =- ( ^2 16 ) ( 4 t ) aligned Substituting t= 4 3 ~s , we get a=- ( 3 32 ^2 ) cms ⁻²

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