Question

The displacement of a particle is given by $\overrightarrow{r}=A(\overrightarrow{i}\cos \omega t+\overrightarrow{j}\sin \omega t)$. The motion of the particle is :

• A. Simple harmonic
• B. On a straight line
• C. On a circle
• D. With constant acceleration

Answer 1

Answer: (C)

On a circle

The motion of particle is circular or elliptic, when two $SHM$ which are perpendicular to each other superimpose on the particle. The particle moves on a
$\left(i\right)$ Ellipse if amplitudes of two $SHM$ are different
$\left(ii\right)$ Circle, if amplitudes of two $SHM$ are same