Please solve for all.

The small cylinder $C$ has mass of $10$ kg ; it is affached to end of a rod whose mass is negligible.

The frame is subjected to a moment $M=(8t^2+5)N-m$ where $t$ is in seconds, and the cylinder is subjected to a ferce $F=60N,$ which is always dweated as s'nown.

At $t=0,$ the cylinder speed is $v_0=2\frac{m}{s}.$

Defermine the cylinder speed at $t=28.$

What is initial angular momentum