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## Homework Statement

A light string is wrapped around a solid cylinder and a 300g mass hangs from the free end of the string. when released, the mass falls a distance of 54cm in 3.0s.

a) Calculate the tension in the string.

b) Calculate the mass of the cylinder.

## Homework Equations

y=y0 + v0t + 1/2at^2

I=mr^2

α=a/r

T-mg=ma

F=ma

τ=Iα

τ=rF

## The Attempt at a Solution

a) y=y0 + v0t + 1/2at^2

0.54m = (0.5)a(3s^2)

a=0.12m/s^2

T-mg=ma

T-(0.3kg)(9.8m/s^2) = (0.3kg)(0.12m/s^2)

T=2.979N

b) τ=Iα

τ=mr^2α

Fr=mr^2α

F=mrα

I'm not sure if thats right for a), I feel like I'm missing something....

I'm very confused for b). I have been playing around with the equations, as you can see above, but I keep going in circles and I feel like I don't have enough information. Thanks in advanced for any help!!