First slide

Simple harmonic motion

Question

Graph between velocity and displacement of a particle, executing S.H.M. is

Moderate

A

A straight line
B

A parabola
C

A hyperbola
D

An ellipse

Solution

In simple harmonic motion
$y = asinωt$ and $v = aωcosωt$ from this we have
$\frac{y^{2}}{a^{2}} + \frac{v^{2}}{a^{2} ω^{2}} = 1$ , which is a equation of ellipse.

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