Problem $10$ Assuming there is no slipping, a solid cylinder of a mass, $m,$ and a

radius, $r,$ is rolling up an inclined ramp at an angle $=30.$ The

initial speed of the cylinder's center of mass is $v.$

$($a$)$ Determine how high up $(h)$ the cylinder can go before it stops.

$($b$)$ How many revolution does it make before it stops?