Question

At extreme positions of a particle executing simple harmonic motion, ______

Options

• both velocity and acceleration are zero.

• both velocity and acceleration are maximum.

• velocity is maximum but acceleration is zero

• velocity is zero but acceleration is maximum.

Answer 1

At extreme positions of a particle executing simple harmonic motion, velocity is zero but acceleration is maximum.

Explanation:

At extreme position, x = A

v = ω`sqrt(A^2 - x^2) = 0`

⇒ a = |ω²x| = ω²A