A special pulley has two discs with radii R1 = .8 m and R2 = .35 m. A rope from the R2 disc connects the pulley to a wall and a rope from the R1 disc connects the pulley to a hanging mass. The axle is frictionless. The total mass of the pulley is 15 kg.
a. If the hanging mass is 20 kg, what is the tension in the rope connected to the wall?
b. What is the total force that the axle exerts on the pulley? In other words, what total force must the axle exert for the pulley to remain in equilibrium?
c. If the rope attached to the wall is cut, the mass falls 2 m in 1.2 seconds. What is the moment of inertia of the pulley?