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TS EAMCET · Physics · Oscillations

A particle of mass \(4 \mathrm{~kg}\) is executing SHM. Its displacement is given by the equation \(y=8 \cos [100 t+\pi / 4] \quad \mathrm{cm}\). Its maximum kinetic energy is

  1. A \(128 \mathrm{~J}\)
  2. B \(64 \mathrm{~J}\)
  3. C \(16 \mathrm{~J}\)
  4. D \(32 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(128 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Equation of particle executing SHM \[ y=8 \cos \left[100 t+\frac{\pi}{4}\right] \mathrm{cm} \] Here, \(\quad \omega=100 \mathrm{rad} / \mathrm{s}, a=8 \mathrm{~cm}\)…
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