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The answer is given. I need to know the mathematical process to get the answer.

ID: 2191516 • Letter: T

Question

The answer is given. I need to know the mathematical process to get the answer.

You have a pulley
11.1cm in diameter and with a mass of1.8kg. You get to wondering whether the pulley is uniform. That is, is the mass evenly distributed, or is it concentrated toward the center or the rim? To find out, you hang the pulley on a hook, wrap a string around it several times, and suspend your1.8kg physics book0.9m above the floor. With your stopwatch, you can find that it takes0.76s for your book to hit the floor.The moment of inertia if the pulley is uniform is 0.002772225 kg m2

What is the actual moment of inertia of the pulley based on your measurement?

ANSWER: 0.01189124352 kg m^2


Explanation / Answer

mbookgh=.5mbookv^2+.5I^2

V=gt

V=r=gt

I=(mbookgh-0.5mbookv^2)/(.5^2)

putting value of ,v,and mbook will give I

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