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An green hoop with mass mh = 2.7 kg and radius Rh = 0.15 m hangs from a string that...

An green hoop with mass mh = 2.7 kg and radius Rh = 0.15 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.1 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 = 3.7 kg and radius Rs = 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? 

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