First slide

Simple hormonic motion

Question

Out of the following functions representing motion of a particle which represents SHM
(I) $y = \sin ωt - \cos ωt$
(II) y = $\sin^{3} ωt$
(III) y = 5 cos( $\frac{3 π}{4} - 3 ωt$ )
(IV) $y = 1 + ωt + ω^{2} t^{2}$

Moderate

A

Only (IV) does not represent SHM
B

(I) and (III)
C

(I) and (II)
D

Only (I)

Solution

For a simple harmonic motion $\frac{d^{2} y}{{dt}^{2}} \propto - y$
Hence, equation y = sin $ωt - \cos ωt$ and
$y = 5 \cos (\frac{3 π}{4} - 3 ωt)$ satisfy this condition and equation $y = 1 + ωt + ω^{2} t^{2}$ is not periodic and $y = \sin^{3} ωt$ is periodic but not SHM.

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