- #1

eagles12

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## Homework Statement

A block of mass m=2.4kg is attached to a string that is wrapped around the circumference of a wheel of radius r=7.6cm. The wheel rotates freely about it's axis and the string wraps around it's circumfrence without slipping. Initially, the wheel rotates with an angular speed ω, causing the block to rise with a linear speed v=.29m/s.

Find the moment of inertia of the wheel if the block rises to a height of h=7.7cm before momentarily coming to rest.

## Homework Equations

Ei=Ef

## The Attempt at a Solution

Ei=1/2mv^2+1/2Iw^2+mgy

Ei=1/2mv^2+1/2Iw^2+0

Ef=1/2mv^2+1/2Iw^2+mgy

Ef=0+0+mgh

mgh=1/2mv^2+1/2Iw^2