A particle is executing a SHM along the x-axis according to the equation x =A ( t) . What…

Physics · NEET · NTA ExamsOscillations and Waves

A particle is executing a SHM along the x-axis according to the equation \(\mathbf{x}=A \sin (\omega t)\). What is the magnitude of the average acceleration of the particle during \(t=0\) to \(t=\frac{T}{4}\) sec, where T is the time period of oscillation.
  1. \(\frac{2 \omega^{2} \mathrm{~A}}{\pi}\)
  2. \(\frac{\omega^{2} \mathrm{~A}}{\pi}\)
  3. \(\frac{4 \omega^{2} \mathrm{~A}}{\pi}\)
  4. none of these

Answer

(A) 2 ^ 2 ~A

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