Question

A cylinder of mass m and radius R has a moment of inertia of . The cylinder is released from rest at a height  on an inclined plane, and rolls down the plane without slipping. What is the velocity of the cylinder when it reaches the bottom of the incline?

Answer 1

$mgh=0.5mv^2$ $+0.5I \omega^2$

$mgh=0.5mv^2+0.25mv^2$

$v=\sqrt{4/3gh}$