Objects Speed og a cylinder and hoop

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The discussion focuses on determining the speeds of a cylinder and a hoop at the bottom of a ramp using conservation of energy principles. The cylinder, with a moment of inertia of I = 1/2MR^2, is expected to have a greater speed compared to the hoop, which has a moment of inertia of I = MR^2. The key to solving the problem lies in applying energy conservation to relate potential energy at the top of the ramp to kinetic energy at the bottom. The participants express uncertainty about the next steps in the solution process. Understanding the relationship between mass, radius, and moment of inertia is crucial for accurately calculating the speeds.
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Homework Statement



Consider both a cylinder of radius Rc and mass mc and a hoop of radius Rh and mass mh. If both are at top of a ramp of length L and at angle theta, what are the objects speeds at the bottom of the ramp

Homework Equations





The Attempt at a Solution

Well, I think that the cylinder will have the greatest speed at the bottom since I= 1/2MR^2 and the hoop is I=MR^2. I don't really get where to go though since we haven't tackled anything like this, just the above answer I put.
 
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You have to give the speeds in terms of the given data. Use conservation of energy.

ehild
 

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Thread 'A cylinder connected to a hanging mass'

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Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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