Question

A particle moves parallel to $x$-axis with constant velocity $v$ as shown in the figure. The angular velocity of the particle about the origin $O$

• A. remains constant
• B. continuously increases
• C. continuously decreases
• D. oscillates

Answer 1

Answer: (C)

continuously decreases

$\omega =\frac{v\sin \theta }{r}=\frac{v\sin \theta }{b/sin\theta }$
$=\frac{v{\sin }^2\theta }{b}\propto {\sin }^2\theta$ (as v and b are constants)
$\theta$ is decreasing Therefore, $\omega$ will decrease.