A 100 kg man holds up a 1000 kg weight by holding on to a rope that is wrapped around a stationary horizontal rod whose other end is tied to the suspended weight. If the coefficient of static friction between the rope and rod is 0.5, what is the minimum number of times that the rope must be wrapped around the rod?
Edit: Assume the rope is massless.
Edit 2: The rope that is not in contact with the stationary rod is vertical.
F(friction) = μ*m(weight)*g*θ/2∏, m(man)*g+F(friction)=m(weight)*g
The Attempt at a Solution
If the equations I wrote are correct, the problem is easy to solve, but I think they might be wrong. Could someone please explain why they are or aren't correct? Thanks.