Question

he average acceleration in one time period in a simple harmonic motion is
(a) A⍵²
(b) A⍵²/2
(c) A⍵²/√2
(d) zero

Answer 1

Answer ⇒ Option (d). Zero.

Explanation ⇒ As we know that Acceleration is a vector quantity which depends upon the magnitude as well as the direction.

Now, Time Period means the total time required by the particle in Simple Harmonic Motion, to returns to the same place from where where it is started and it should be in the same direction.

Now, Particle Returns to the same position from where it is started and also in the same direction, therefore Average Velocity is zero, and hence Average Acceleration is also Zero.

Therefore, Option (d). is correct.

Hope it helps.