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**[SOLVED] How far does the bucket fall?**

## Homework Statement

A cylindrical pulley with a mass of M = 5.7 kg and a radius of r = 0.66 m is used to lower a

bucket with a mass of m = 2 kg into a well. The bucket starts from rest and falls for 3.5 s.

The acceleration of gravity is 9:8 m/s^2 :

## Homework Equations

Moment of Inertia

Newtons second law

W(f)=W(i)+(angular acceleration)(Time)

## The Attempt at a Solution

I = 1/2(5.7)(.66^2)=1.241

W(f)=0+(9.8?)(3.5) Is this the right equation to figure out how far the bucket dropped and does moment of Inertia have anything to effect it? would you do W(f) = 34.3, but do I multiply that by the moment of inertia?