1. The problem statement, all variables and given/known data Two weights are connected by a very light flexible cord that passes over a 40.0-N frictionless pulley of radius 0.300 m. Weight #1 is 125 N and Weight #2 is 75 N. 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? 2. Relevant equations F=ma τ=FtanR=Iα 3. The attempt at a solution The pulley applies a downward force to the hook. Since the pulley isn't accelerating, the net force on it must be zero. The pulley's downward force on the hook is due to its own weight, but also two different tension forces since the pulley isn't massless. First, I decide to try and find the two tension forces, T1 and T2. I set up equations for the motion of the hanging weights: F1=m1a=T1-m1g F2=m2a=T2-m2g Since they are connected by a rope, they should have the same acceleration. a= [T1-m1g] / m1 I plugged this into the equation for F2, getting: m2[T1-m1g] / m1 = T2-m2g There are still two unknowns in this equation, so I set up a torque equation: τ=FtanR=Ipulleyα Using the moment of inertia of a solid cylinder (0.5McylR2) and a=αr, The torque force is (assuming no slipping): (T1-T2) x R = 0.5Mpulleya I solved this torque equation for T1, getting: T1=0.5(Mpa+T2 I then plugged this into my F1 equation to solve for acceleration. I then used acceleration to solve for T2. After finding T2, I used its value to solve for T1. The algebra got a bit complex, and I ended up with 3.19 N for T2 and 63.2 N for T1, which are incorrect. Can anyone point out if my equation set up was incorrect or if I messed up in the algebra?