τ = Iα = rF
L = Iω
Center of Mass/Moment of intertia equations
The Attempt at a Solution[/B]
So right now I've tried to model the force acting on the ring as it goes around the peg, but I think centripetal force is involved and I'm not sure how to use that in my equations of motion. A general idea I have is that rotational velocity should be highest when the hoop's center is at it's lowest possible point.
Say the peg is the z-axis coming in/out of the page, the moment of inertia of the hoop should be in relation to that axis. By the parallel axis theorem and the fact that a ring's moment of inertia is usually MR2, it would be I = MR2 + MR2. From this should I be using rotational energy equations or am I far off/should do something else?
For B I am completely lost but I'm pretty sure I might need to solve A first for it.