Speed of object falling from pulley

AI Thread Summary
The discussion focuses on calculating the speed of an object falling from a pulley system involving a rotating shell and a massless cord. Participants emphasize using energy considerations, specifically gravitational potential energy (mgh) before the fall and the kinetic energies of both the falling mass and the rotating shell after the fall. The conversation highlights the importance of understanding the relationship between the falling mass and the torque applied to the sphere. Key points include identifying the forms of energy before and after the fall and determining the total kinetic energy in the system. The thread concludes with a call for assistance in solving the final question related to these energy transformations.
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A uniform circular shell of mass M and radius R rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m. There is no friction on the pulleys axle; the cord does not slip. What is the speed of the object after it falls a distance h from rest? Use energy considerations.

I don't really know where to start, can anyone point me in the right direction?
 
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Sure. Use energy considerations.

What form of energy does the mass have before it falls, and how much?

What will be the forms of energy present after the mass has fallen "h"?
 
Last edited:
would it have gravitational potential energy?

Im not sure after..
 
Yes, gravitational potential, mgh right?

Now after this hanging mass has torqued the sphere, what TWO things are moving, and what kind of energies do they have? OK, what kind of kinetic energies do they have?
 
what two things are moving? the mass and the sphere?

What kind of kinetic energies? I have no clue?
 
Can someone please help me..this is the last question I need help solving!
 
the mass falls. what does that do to the string? what does the string do to the sphere?
so then what's the total kinetic energy?
 

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