Question

A particle performs SHM with a period T and amplitude A. The mean velocity of the particle over the time interval during which it travels a distance A/2 from the extreme position is

a) 0
b) A/2
c) A/4
d) A

Answer 1

The mean velocity of a particle over the time interval during which it travels a distance A/2 from the extreme position is A/2. Therefore, the correct answer is b) A/2.

Step-by-step explanation:

In simple harmonic motion (SHM), the mean velocity of a particle over the time interval during which it travels a distance A/2 from the extreme position is A/2.

To understand this, consider that the particle oscillates between the extreme positions of +A and -A. When it reaches the midpoint of its oscillation at A/2, it momentarily stops and changes direction.

This means that the average velocity over the time it takes to cover a distance of A/2 is zero. Therefore, the mean velocity over this time interval is A/2.

Simple harmonic motion (SHM) is a repetitive back-and-forth movement or oscillation exhibited by certain systems under the influence of a restoring force that is directly proportional to the displacement from an equilibrium position and acts in the opposite direction.