Question

# An object (either solid sphere, hoop or solid disk) of Mass M=10kg and radius R=4m is...

An object (either solid sphere, hoop or solid disk) of Mass M=10kg and radius R=4m is at the bottom of an incline having inclination angle X=40 degrees and base length X=15 meters, with an initial rotational velocity omega(i)=2rad/s; it is subsequently pulled up the the incline by some force F=15 (Newtons) such that at the top of the incline it has a final rotational velocity omega(f)=7rad/s. Determine: a) the linear velocity, b) rotational KE and c) total work and work done by both the external force, as well as gravity acting on the mass, once it's reached the top of the incline.

Now the mass is released from rest at the top; determine its final rotational velocity at the bottom of the incline, it's rotational KE, it's linear KE, as well as the work done by gravity as the mass rolls down. Remember that W(tot)=Delta(KE), including both rotational and also linear KE on the right-hand-side.

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