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## Homework Statement

Solve Using Conservation of Energy

The spool has a mas of 50 kg and a radius of gyration k(o) = .280m. If the 20 kg block A is released form rest, determine the distance the block must fall in order for the spool to have an angular velocity w = 5 rad/s. Also what is the tension in the cord while the block is in motion? Neglect the mass of the cord

## Homework Equations

## The Attempt at a Solution

T

_{1}+ V

_{1}+ T

_{2}+ V

_{2}

Does V

_{1}= 0 because it is at rest from the start

T

_{1}= .5mv

^{2}+ .5Iw

^{2}= .5*20*0 + .5*50*.28

^{2}= 1.96

V

_{2g}= Wy (y is what I am looking for but how do i calculate work W)

V

_{2e}= .5ks

^{2}= .5*.28*s

^{2}= .14s

^{2}

T

_{2}= .5*20*v

^{2}+ .5*50*.28

^{2}= 10v

^{2}+ 1.96

1.96 = Wy + .14s

^{2}+ 10v

^{2}+ 1.96

To answer the question "determine the distanc ethe block must fall" means solve for y right

To answer the question "what is the tension of the cord" means solve for s right

How do i find v