Question

An green hoop with mass m_h = 2.7 kg and radius R_h = 0.15 m hangs from a string that goes over a blue solid disk pulley with mass m_d = 2.1 kg and radius R_d = 0.09 m. The other end of the string is attached to a massless axel through the center of an orange sphere on a flat horizontal surface that rolls without slipping and has mass m_s = 3.7 kg and radius R_s = 0.19 m. The system is released from rest.

1. What is magnitude of the linear acceleration of the sphere?

2. What is the magnitude of the angular acceleration of the disk pulley? 

3. What is the magnitude of the angular acceleration of the sphere?

4. What is the tension in the string between the sphere and disk pulley? 

Answer 1