Question

A particle parallel to the x-axis as shown in the figure such that at all instant the y-axis component of its position vector is constant and is equal to 'b'.The angular velocity of the particle about the origin is

• A. v/b
• B. (v/b)sin$\theta$
• C. $\left(v/b\right)si{n}^2\theta$
• D. vb

Answer 1

The correct option is B (v/b)sin$\theta$

$\omega =\frac{v_{prependicular}}{b}=\frac{vsin\theta }{b}=\frac{v}{b}\sin \theta$