First slide

Simple hormonic motion

Question

The total energy of a particle, executing simple harmonic motion is

Moderate

A

$\propto x$
B

$\propto x^{2}$
C

$\propto x^{1 / 2}$
D

independent of x

Solution

, In simple harmonic motion, the total energy E is given by
$E = P.E. + K.E. = \frac{1}{2} {mω}^{2} x^{2} + \frac{1}{2} {mω}^{2} (a^{2} - x^{2}) = \frac{1}{2} {mω}^{2} a^{2} = \frac{1}{2} m (2 πn)^{2} a^{2} = 2 π^{2} {mn}^{2} a^{2} This is independent of displacement x$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App