A pendulum consists of two $3\mathrm{.}2$ concentrated masses positioned as shown on a light butrigid bar. The pendulum is swinging through the vertical position with a clockwise angularvelocity $=6/$ when a $50$ bullet traveling with velocity $=300/$ in thedirection shown strikes the lower mass and becomes embedded in it$.$a$.$ Calculate the angular velocity which the pendulum has immediately after theimpact.b$.$ Find the maximum angular deflection of the pendulum.c$.$ What should be the velocity of the bullet $(),$ which stops the pendulum immediatelyafter impact.