A rod of mass M $=5$ kg and length L $=1\mathrm{.}2$ m is lying on a frictionless horizontal table and is free to rotate about an axis around one end. A force F$1=15$ N is acting at the other end of the rod and a second force F$2=10$ N is acting at the center of the rod as shown. The rod is initially at rest. $($The moment of inertia of a rod about its end is ML$2/3.)($a$)$ Find the angular acceleration of the rod.$($b$)$ How many revolutions will the rod make in $6$ s$?($c$)$ Find the angular velocity of the rod at this time.