Solveeit Logo

Question

Question: Which of the following equation does not represent a simple harmonic motion...

Which of the following equation does not represent a simple harmonic motion

A

y=asinωty = a\sin\omega t

B

y=acosωty = a\cos\omega t

C

y=asinωt+bcosωty = a\sin\omega t + b\cos\omega t

D

y=atanωty = a\tan\omega t

Answer

y=atanωty = a\tan\omega t

Explanation

Solution

Standard equation of S.H.M. d2ydt2=ω2y,\frac{d^{2}y}{dt^{2}} = - \omega^{2}y, is not satisfied by y=atanωty = a\tan\omega t.