A pendulum consists of two $3\mathrm{.}2-kg$ concentrated masses positioned as shown on a light but rigid bar. The pendulum is swinging through the vertical position with a clockwise angular velocity $=7\mathrm{.}4ra\frac{d}{s}$ when a $58-g$ bullet traveling with velocity $330\frac{m}{s}$ in the direction shown strikes the lower mass and becomes embedded in it$.$ Calculate the angular velocity ${}^{\text{'}}($positive if counterclockwise, negative if clockwise$)$ which the pendulum has immediately after impact and find the maximum angular deflection $$ of the pendulum.

Assume $a=190mm,b=410mm,=21.$

Answers:

${}^{\text{'}}=$

${}_{\text{m}\text{a}\text{x}}=$