Pulling on a cylinder and energy lost to friction

AI Thread Summary
To calculate the energy lost to friction when a spool of wire is pulled by a mass, one must first determine the initial and final energy states. The initial energy is based on the potential energy of the mass, while the final energy includes both the kinetic energy of the mass and the rotational energy of the spool. The difference between these energy states indicates the energy lost to friction. It's essential to show preliminary calculations to receive further assistance, as per forum guidelines. Understanding these energy transformations is crucial for solving the problem effectively.
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A spool of thin wire (with inner radius r = 0.50 m, outer radius R = 0.65 m, and moment of inertia Icm = 1.06 kg*m2 pivots on a shaft. The wire is pulled down by a mass M = 1.35 kg. After falling a distance D = 0.54 m, starting from rest, the mass has a speed of v = 70.200 cm/s. Calculate the energy lost to friction during that time.
Not sure where even to begin! :confused:
 
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Welcome to PF !

Please read our guidelines concerning homework which you agreed upon:
- post them in the appropriate homework section (in this case: intro physics; I'll move the thread after this post)

- show some work before others are even allowed to help you.

This policy is not to make life hard for you, on the contrary...

However, I'm going to give you a hint in approaching the problem:
if you know the energy at the beginning, and at the end, then the difference might have something to do with friction (because if there weren't any, both would be the same).
 

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