Two particles, each of mass m are attached to a light rod of length d, one at its centre and the other at a free end….

Q: Two particles, each of mass m are attached to a light rod of length d, one at its centre and the other at a free end. The rod is fixed at the other end and is rotated in a plane at an angular speed ω . The angular momentum of the particle at the end w.r.t. the particle at the centre is

(a) $ \displaystyle \frac{1}{2}m \omega d^2 $

(b)$ \displaystyle \frac{1}{4}m \omega d^2 $

(c)$ \displaystyle \frac{1}{3}m \omega d^2 $

(d)$ \displaystyle \frac{2}{3}m \omega d^2 $

Ans: (b)