sample Problem

A cylinder is about to roll down an inclined plane of heigh What is its speed at the bottom of the plane?

Cylinder has radius $R$

$I_{cyl}=\frac{1}{2}M{R}^2$

Sample Problem

A $71-kg$ commuter rides on an $8\mathrm{.}1-kg$ bicycle. Each bicycle wheel is a hoop of radius $33$ cm and mass $1\mathrm{.}6$ kg $.$

What energy must the biker supply to move at $7\mathrm{.}2\frac{m}{s}?$ Include the kinetic energy of the biker, the kinetic energy of the bike frame, and the kinetic energy of the rotating wheels.