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Homework Statement
Two weights, 75N (mass 1) & 125N (mass 2) are connected by a very light flexible cord that passes over a 70.0 N frictionless pulley of radius 0.200 m. The pulley is a solid uniform disk and is supported by a hook connected to the ceiling. What force does the ceiling exert on the hook?
Homework Equations
I_cylinder=mr^2/2
tau = I(alpha)
alpha= a(r)
F=ma
The Attempt at a Solution
I'm realizing there're going to be two tensions on either side of the pulley and they are generating torque. What I've come up with:
7.653kg(a) = T_1 - 75N
12.755(a) = 125N - T_2
or
a = (T_1 - 75N)/7.653kg = (125N - T_2)/12.755
tau = 1.4kgm^2(.2m)(a)
(The angular acceleration (alpha) = .2*a)
I'm having a hard time substituting to get my values for my tension. i realize this is probably basic algebra that I'm just not seeing, but a push would really help. thanks!