A circular disc of mass m and radius R is set into motion on a horizontal floor with a liner speed v in the forward direction and an angular speed ω = v/R in clockwise direction as shown in the figure. Find the magnitude of the total angular momentum of the disc about the bottom most point O of the disc.

Q: A circular disc of mass m and radius R is set into motion on a horizontal floor with a liner speed v in the forward direction and an angular speed ω = v/R in clockwise direction as shown in the figure. Find the magnitude of the total angular momentum of the disc about the bottom most point O of the disc.

(a) $\frac{1}{2} m v R$

(b) $\frac{2}{3} m v R$

(c) $\frac{3}{2} m v R$

(d) $\frac{4}{3} m v R$

Ans: (c)