Written Problems

Solve each of these problems. Make sure and show all your work and label any diagrams completely $-$ you must show all your work to get full credit $5$ points per question with partial credit where needed.

A uniform bar of mass $M=2\mathrm{.}5kg$ and length $L=2m$ is held in static equilibrium as shown by a pin at its lett end $($attached to the wall$),$ and a string attached at the right end $($which makes an angle relative to the bar of $=35).$

$($a$)$ Find the tension in the strin$$

The string breaks and the bar pivots around the pin with no friction. What is its initial angular acceleration of the bar the moment after the string breaks?