First slide

Simple hormonic motion

Question

A particle executes simple harmonic motion of period T and amplitude l along a rod AB of length 2l. The rod AB itself executes simple harmonic motion of the same period and amplitude in a direction perpendicular to its length. Initially, both the particle and the rod are in their mean positions. The path traced out by the particle will be

Easy

A

a circle of radius l
B

a straight line inclined at $\large \frac{\pi }{4}$ to the rod
C

an ellipse
D

a figure of eight

Solution

$\large x\, = \,A\sin \omega t;\,y\,\, = \,\,A\sin \omega t\,;\,x = \,y$
Equation of Straight line , with slope
$\large m\, = \,\tan \theta \, = \,1\, \Rightarrow \,\theta \, = \,{45^o}\, = \,\frac{\pi }{4}$

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