The answers are posted for this question, I need to understand the process to ge

Question

The answers are posted for this question, I need to understand the process to get them. Please do not copy from other posts. If they made sense I wouldn't be asking how to do this. You have a pulley 11.1 cm in diameter and with a mass of 1.8 kg. 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 your 1.8 kg physics book 0.9 m above the floor. With your stopwatch, you can find that it takes 0.76 s for your book to hit the floor. What is the moment of inertia if the pulley is uniform? answer: 0.002772225 kg m2 What is the actual moment of inertia of the pulley based on your measurement? answer: 0.01189124352 kg m2 What do you conclude about the pulley? a) The pulley is uniform (within 1% of uniform) b) The mass of the pulley is concentrated toward the center c) The mass of the pulley is concentrated toward the rim answer: c

Explanation / Answer

See you solve it by the following process. Consider these : moment of inertia of a uniformly distrubuted disc = (MR^2)/2 moment of inertia of ring = MR^2 if the mass is concencentraated at the center , then moment of inertia would be very less because the distance of the mass from the center would become less. In our case the measure value is much more than the calculated value . so it is clearly not a pulley with mass concentrated at the center , since measured is more than uniform , so the only possibility is that the mass is concentrated at the rim (c) is correct .

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