- #1
Juniper7
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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 that's 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!