Answer to Question #277273 in Physics for Wid

Question

A cylinder of mass m and radius R has a moment of inertia of 1/2mr^2. The cylinder us released from rest at a height h 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

$$mgh=0.5mv^2+0.5I\omega^2\\ mgh=0.5mv^2+0.25mv^2\\v=\sqrt{\frac{4}{3}gh}$$