Two weights are connected--Weight 1 (75.0N) and Weight 2 (125.0N)--by a very light flexible cord that passes over a 70.0N-frictionless pulley of radius 0.400m. The pulley is a solid uniform disk and is supported by a hook connected to the ceiling.
I calculated the mass of the first weight to be 7.64kg and the second weight to be 12.74kg
What force does the ceiling exert on the hook?
The Attempt at a Solution
At first I tried adding the two weights and the pulley to get 270.0N. (A little too easy, but it doesn't hurt too try). I wasn't surprised to see that it was wrong. So, since there two different weights and a pulley, I tried using Newton's 2nd law to answer the problem.
Here's what I have:
T_1 - (m_1)(g) = (m_1)(a)
T_2 - (m_2)(g) = (m_2)(a)
and since the pulley is 70.0N and has a radius of 0.4m, I used (r x F) to get 28 N*m.
I don't know where to go from her unfortunately :/