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BITSAT2015PhysicsOscillationsActual

The displacement of a particle is given at time t, by: x=A (-2 t)+B ² t Then,

Options

  1. Athe motion of the particle is SHM with an amplitude of A²+ B² 4
  2. Bthe motion of the particle is not SHM, but oscillatory with a time period of T= /
  3. Cthe motion of the particle is oscillatory with a time period of T= / 2
  4. Dthe motion of the particle is a periodic.

Correct answer

A. the motion of the particle is SHM with an amplitude of A²+ B² 4

Step-by-step solution

The displacement of the particle is given by: aligned x &=A (-2 t)+B ² t &=-A 2 t+ B 2 (1- 2 t) &=- (A 2 t+ B 2 2 t )+ B 2 aligned This motion represents SHM with an amplitude: A²+ B² 4 , and mean position B 2

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