- #1

- 58

- 0

## Homework Statement

A solid cylinder is rolling without slipping. What fraction of its kinetic energy is linear?

## Homework Equations

Ke=[itex]\frac{mv^2}{2}[/itex]+[itex]\frac{I(v/r)^2}{2}[/itex]

## The Attempt at a Solution

Ke=[itex]\frac{mv^2}{2}[/itex]+[itex]\frac{(v/r)^2}{2}[/itex]*[itex]\frac{(mr)^2}{2}[/itex]

Ke=[itex]\frac{3(mv)^2}{4}[/itex]

Linear Ke =[itex]\frac{(mv)^2}{4}[/itex]

Fraction of Linear Ke = [itex]\frac{linear Ke}{Ke}[/itex] = [itex]\frac{(1/4)}{(3/4)}[/itex] = [itex]\frac{1}{3}[/itex]