In simple harmonic motion, the velocity of the particle is maximum when it is at

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Question: In simple harmonic motion, the velocity of the particle is maximum when it is at which position?

Options:

Correct Answer: Mean position

Solution:

In simple harmonic motion, the velocity is maximum at the mean position where the displacement is zero.

In simple harmonic motion, the velocity of the particle is maximum when it is at which position?

In simple harmonic motion, the velocity of the particle is maximum when it is at which position?

Correct Answer: Mean position

Step 1: Understand what simple harmonic motion (SHM) is. It is a type of periodic motion where an object moves back and forth around a central point.
Step 2: Identify the key positions in SHM: the mean position (center) and the extreme positions (maximum displacement on either side).
Step 3: Recognize that the mean position is where the object is at rest and has no displacement from the center.
Step 4: Know that as the object moves towards the mean position from either extreme, it speeds up.
Step 5: Conclude that the velocity of the particle is maximum when it is at the mean position, where the displacement is zero.

Simple Harmonic Motion (SHM) – A type of periodic motion where an object oscillates around an equilibrium position, characterized by a restoring force proportional to the displacement from that position.
Velocity in SHM – In SHM, the velocity of the particle varies with its position, being maximum at the mean position (equilibrium) and zero at the extreme positions.