First slide

Simple harmonic motion

Question

As the expression is involving sine function, which of the following equations does not represent a simple harmonic motion?

Moderate

A

$y = a \sin ω t$
B

$y = a \cos ω t$
C

$y = a \sin ω t + b \cos ω t$
D

$y = a \tan ω t$

Solution

Standard equation of S.H.M. $\frac{d^{2} y}{d t^{2}} = - ω^{2} y$ is not satisfied by $y = a \tan ω t$ which will be periodic.
Clearly, this equation does not represents SHM.

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