Q. Which of the following equations does not represent a simple harmonic motion
A) $y = a\sin{\omega\ t}$
B) $y = a\cos{\omega\ t}$
C) $y = a\sin{\omega t} + b\cos{\omega t}$
D) $y = a\tan{\omega\ t}$
Explanation
(d) Standard equation of S.H.M. $\frac{d^{2}y}{dt^{2}} = - \omega^{2}y,$ is not satisfied by $y = a\tan{\omega t}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.