Energy and pulleys (Atwood's machine i think)

AI Thread Summary
The discussion revolves around solving a physics problem involving an Atwood machine with a pulley of radius 0.160 m and moment of inertia 0.480 kg.m². The goal is to calculate the speed of a 4.00 kg block just before it hits the ground using energy methods. A participant reports arriving at a speed of 3.182 m/s and seeks verification of this result. The lack of a diagram is noted as a limitation in solving the problem effectively. Overall, the focus is on confirming the accuracy of the calculated speed in the context of the given parameters.
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Homework Statement



The pulley in the diagram has a radius of 0.160 m and a moment of inertia 0.480 kg.m². The rope does not slip on the pulley rim. Use energy methods to calculate the speed of the 4.00 kg block just before it strikes the floor.

Homework Equations





The Attempt at a Solution


ok so I've already had a lot of help from physics-forums on this and thanks to that I've solved it. I got a value of 3.182m/s could someone please check this.
 
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This can't be worked from the information given; the diagram would be helpful.
 
sorry here it is
 

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