Question

For a particle executing simple harmonic motion (SHM), at its mean position:

• A. Velocity is zero and acceleration is maximum
• B. Velocity is maximum and acceleration is zero
• C. Both velocity and acceleration are maximum
• D. Both velocity and acceleration are zero

Answer 1

The Correct Option is B

In Simple Harmonic Motion (SHM), the displacement, velocity, and acceleration vary sinusoidally over time.

At the mean position (the equilibrium position), where the displacement is zero: 
- The velocity is maximum because the particle is moving through the equilibrium position at its highest speed.
- The acceleration is zero because the restoring force (which causes the acceleration) is directly proportional to the displacement. 
Since displacement is zero at the mean position, the restoring force (and therefore the acceleration) is also zero at this point.