The total energy of a particle executing S.H.M. is proportio... | PHYSICS - ENERGY IN SIMPLE HARMONIC MOTION | SolveeIt | Solveeit

Today, August 19

Question

The total energy of a particle executing S.H.M. is proportional to

A

Displacement from equilibrium position

B

Frequency of oscillation

C

Velocity in equilibrium position

D

Square of amplitude of motion

Answer

Square of amplitude of motion

Explanation

Solution

$E = \frac{1}{2}m\omega^{2}a^{2}$ ⇒ $E \propto a^{2}$