Problem $3$ Swinging Across the Gap

A rod with mass m and length L is pivoted about one end and

hangs vertically as shown. You run from the left side with speed v$0$

and grab the rod $($at the very bottom$).($a$)$ Find the total kinetic

energy after you grab on$.($Treat yourself as a point particle$).($b$)$

You will now swing across the gap that has distance d$.$ Find your height above the ground when you are across $($this part is purely geometry$).($c$)$ What speed should you have intially run at$,$ to make it across the gap?