A pulley attached to the top of a ramp has a rope wrapped around it (like a spoon of thread). Treat the pulley like a solid cylinder. The rope is attached to a solid sphere at its axle. The axle turns without friction. The system is released from rest. The rope unwinds from the pulley and the sphere rolls without slipping down the hill. The mass of the pulley is 20.0kg and has a radius of 0.250m. The sphere has a mass of 50.0kg and a radius of 0.500m. The ramp makes an angle of 40.0 degrees with the horizontal. (Solve this problem using Force-Torque Principles. Do not use energy principles.) a. What is the acceleration of the sphere? b. What are the angular accelerations of the pulley and the sphere