First slide

Simple hormonic motion

Question

The function sin² $Ït$ represents

Moderate

A

a simple harmonic motion with period $2 Ï / Ï$
B

a simple harmonic motion with a period $Ï / Ï$
C

a periodic, but not a simple harmonic motion with a period of 2 $Ï / Ï$
D

a periodic, but not a simple harmonic motion with a period of $Ï / Ï$

Solution

The equation $y = \sin^{2} â¡ Ït$ t = $\frac{1}{2} Ã 2 \sin^{2} Ï t = \frac{1}{2} (1 - \sin 2 Ï t) = \frac{1}{2} - \frac{1}{2} \sin 2 Ï t$
$Time period, T = \frac{2 Ï}{2 Ï} = \frac{Ï}{Ï}$

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