First slide

Simple hormonic motion

Question

The composition of two simple harmonic motions of equal periods at right angles to each other and with a phase difference of α, results in the displacement of the particle along a

Easy

A

straight line
B

circle
C

hexagon
D

ellipse

Solution

x = A cos ωt
y = B cos (ωt - π)
$\Rightarrow y = - B\cos \omega t$
$\therefore \frac{y}{x} = - \frac{B}{A}$
$\Rightarrow y = \left( { - \frac{B}{A}} \right)x$
The equation represents a straight line.

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