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mollybethe
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Homework Statement
a cylinder, r= 0.5 m with a mass 100 kg which is hanging 50 m above the ground. A rope of negligible mass which is 25 m long is wrapped around the cylinder. At the end of the rope a 10 kg mass is hanging. The hanging mass will fall and the rope will spin off the cylinder. What is ω at that point?
Homework Equations
I=.5MR^2
W=Fd
F=ma
Energy: W=.5Iw^2
The Attempt at a Solution
Initial angular velocity is 0 rad/s
r=.5m
F=ma=10*9.8=98N
W=98*25=2450 J
I=.5*100*.5^2=12.5
2450=.5*12.5w^2
w=19.79rad/s?
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