Question

A system comprises two objects, a massless string, a frictionless (but not massless) pulley and the...

A system comprises two objects, a massless string, a frictionless (but not massless) pulley and the Earth. The objects, 1 and 2, have masses of 0.111 and 0.316 kg, respectively, and hang from opposite ends of the string, which is draped over the pulley. The pulley has a radius of 0.100 m. Initially, you are holding Object 1 to keep the system from moving. Then you let go, allowing the objects to move a vertical distance of 1.00 m and reach a final speed of 2.2491 m/s.

a) What has been the change in gravitational potential energy?

b) What is the final translational kinetic energy of the two objects combined?

c) What is the final rotational kinetic energy of the pulley?

d) What is the final tangential speed of the pulley?

e) What is the final angular speed of the pulley?

f) What is the rotational inertia of the pulley?

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