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NEET 2013 · Velocity & Acceleration in SHM

Velocity & Acceleration in SHM question from NEET 2013

Q74NEET 2013Easy

Velocity & Acceleration in SHM

A particle of mass m oscillates along x-axis according to equation x = asin $\omega$ t. The nature of the graph between momentum and displacement of the particle is

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Answer: (c)

$x = a\sin\omega t$ , $p = mv = ma\omega\cos\omega t$ .
$\frac{x^2}{a^2} + \frac{p^2}{m^2a^2\omega^2} = \sin^2\omega t + \cos^2\omega t = 1$ .
This is the equation of an ellipse.
So the answer is (c) Ellipse.

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