Oscillations

JEE Main level, single correct, medium

20 of 194

Question 20 of 194

In a linear Simple Harmonic Motion (SHM)
(A) Restoring force is directly proportional to the displacement.
(B) The acceleration and displacement are opposite in direction.
(C) The velocity is maximum at mean position.
(D) The acceleration is minimum at extreme points.
Choose the correct answer from the options given below:

Show answer and solution

Answer: (C) (A),(B)\left(A\right),\left(B\right) and (C)\left(C\right) only

The equations of SHM is given by
F=–kxF=–kx
⇒a=–ω2x\Rightarrow a=–{\omega }^{2}x
Velocity is given by, v=ωA2−x2v=\omega \sqrt{{A}^{2}-{x}^{2}}.
Clearly, velocity is maximum at mean position and acceleration is maximum at extreme positions.
Hence, this is the correct option.

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