Question: An green hoop with mass mh = 2.8 kg and radius Rh = 0.12 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.0 kg and radius Rd = 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 ms = 4.1 kg and radius Rs = 0.24 m. The system is released from rest.

1) What is magnitude of the linear acceleration of the hoop? m/s2

2) What is magnitude of the linear acceleration of the sphere? m/s2

3) What is the magnitude of the angular acceleration of the disk pulley? rad/s2

4) What is the magnitude of the angular acceleration of the sphere? rad/s2

5) What is the tension in the string between the sphere and disk pulley? N

6) What is the tension in the string between the hoop and disk pulley? N

7) The green hoop falls a distance d = 1.52 m. (After being released from rest.) How much time does the hoop take to fall 1.52 m? s

8) What is the magnitude of the velocity of the green hoop after it has dropped 1.52 m? m/s

9) What is the magnitude of the final angular speed of the orange sphere (after the green hoop has fallen the 1.52 m)?