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## Homework Statement

Use conserbvation of Energy

The spool has a mass of 50 kg and a raius of gratino k = .280 m. If the 20 kg block A is released from rest, determine the distance the block must fall inorder for the spool to have an angulr velocity w = 5 rad/s. Also what is the tension in the cord while the block is in motion.

The spool has a radius of .3m, but where the cord is wrapped around it is a radius of .2m

## Homework Equations

## The Attempt at a Solution

T

_{1}+ v

_{1}= T

_{2}+ V

_{2}

T & V 1 are both 0 because it starts from rest soooooo...

I = mk

^{2}= 50*.28

^{2}= 3.92

0 = 1/2*20*v

^{2}+ 1/2*3.92*5

^{2}+ Wy + 1/2*.25*s

^{2}

0 = 59 + Wy + .14s

^{2}

s = [tex]\sqrt{(-Wy - 59)/.14}[/tex]

y = (.14s + 59)/W How do i find W