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

Question

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, 3 32 π 2 c m s - 2, - π 2 32 c m s - 2, π 2 32 c m s - 2, - 3 32 π 2 c m s - 2

MARKS App · Accepted Answer

From the graph Time period of wave T = 8 s . and Amplitude A = 1 cm ω = 2 π T = π 4 rad s - 1 and x = A sin ω t = sin π 4 t acceleration at any time t is a = - ω ​ 2 x = - π 4 2 ⁡ sin π 4 t Substituting t = 4 3 s , we get a = - 3 32 π 2 c m s - 2

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