Question

A uniform rod or mass $M$ and length $l$ is placed on a smooth horizontal surface with its one end pivoted to the surface. A small ball of mass $m$ moving along the surface with a velocity $v_0$, perpendicular to the rod, collides elastically with the free end of the rod.

Find:
a. The angular velocity of the rod after collision.
b. The impulse applied by the pivot on the rod during collision. (Take $M/n=2)$.

• A. a. $\frac{6v_0}{5l}$
  b. $\frac{2}{5}m{v}_0$
• B. a. $\frac{6v_0}{5l}$
  b. $\frac{2}{6}m{v}_0$
• C. a. $\frac{7v_0}{5l}$
  b. $\frac{2}{5}m{v}_0$
• D. a. $\frac{7v_0}{5l}$
  b. $\frac{3}{5}m{v}_0$

Answer 1

The correct option is A a. $\frac{6v_0}{5l}$

b. $\frac{2}{5}m{v}_0$