First slide

Simple harmonic motion

Question

The displacement y of a particle executing periodic motion is given by $y = 4 \cos^{2} (t / 2) \sin (1000 t)$ . This expression may be considered to be a result of the superposition of ........... independent harmonic motions

Difficult

A

Two
B

Three
C

Four
D

Five

Solution

$\begin{array}{l} y = 4 \cos^{2} (\frac{t}{2}) \sin 1000 t \\ \Rightarrow y = 2 (1 + \cos t) \sin 1000 t \\ \Rightarrow y = 2 \sin 1000 t + 2 \cos t \sin 1000 t \\ \Rightarrow y = 2 \sin 1000 t + \sin 999 t + \sin 1001 t \end{array}$
It is a sum of three S.H.M.

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