Question

If ‘V’ is velocity and ‘a’ is acceleration of a particle executing linear simple harmonic motion. Which one of the following statements is correct?

• A. when ‘a’ is maximum, v is maximum
• B. when ‘a’ is maximum, v is zero
• C. when ‘a’ is zero, v is zero.
• D. ‘a’ is zero for any value of ‘v’

Answer 1

Answer: (C)

when ‘a’ is zero, v is zero.

Answer 2

In linear simple harmonic motion, the acceleration and velocity of the particle are related to each other.
The acceleration is maximum when the particle is at the extreme positions (maximum displacement) of the oscillation. At these points, the velocity is momentarily zero, as the particle changes direction.
when the acceleration is zero, the particle is at the equilibrium position (midpoint) of the oscillation, and at this point, the velocity is also zero.
Therefore, when 'a' is zero, 'v' is zero.