The composition of two simple harmonic motions of equal periods at right angle to each other and wit

Question

The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of $\pi$ results in the displacement of the particle along\

Professor PC Thomas Classes · Answer

(c) : $x=a \sin \omega t$\ and $y=b \sin (\omega t+\pi)=-b \sin \omega t$.\ or $\frac{x}{a}=-\frac{y}{b}$ or $y=-\frac{b}{a} x$\ It is an equation of straight line.