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10리 119 enrans menod ony onsrg EXAMPLE PROBLEM We are going to race two wheels down an incline. Both have the same mass M and radius R. One of the wheels is a solid cylinder, and the other wheel is an empty hoop, like a bicycle wheel. Both will start from a height of 10 centimeters and the incline on which they will both roll on has an angle of 20° angle. Assume that both wheels roll without slipping. Which wheel, the hoop or the solid cylinder, will win the race? (i.e, get to the bottom of the incline faster) Hint, this problem is easiest is to do if you do one general derivation that works for both wheels, and then use the result of that derivation at the end to plug into the different cases of the empty and sold wheels. M R H

10리 119 enrans menod ony onsrg EXAMPLE PROBLEM We are going to race two wheels down an incline. Both have the same mass M and radius R. One of the wheels is a solid cylinder, and the other wheel is an empty hoop, like a bicycle wheel. Both will start from a height of 10 centimeters and the incline on which they will both roll on has an angle of 20° angle. Assume that both wheels roll without slipping. Which wheel, the hoop or the solid cylinder, will win the race? (i.e, get to the bottom of the incline faster) Hint, this problem is easiest is to do if you do one general derivation that works for both wheels, and then use the result of that derivation at the end to plug into the different cases of the empty and sold wheels. M R H

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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10리 119 enrans menod ony onsrg EXAMPLE PROBLEM We are going to race two wheels down an incline. Both have the same mass M and radius R. One of the wheels is a solid cylinder, and the other wheel is an empty hoop, like a bicycle wheel. Both will start from a height of 10 centimeters and the incline on which they will both roll on has an angle of 20° angle. Assume that both wheels roll without slipping. Which wheel, the hoop or the solid cylinder, will win the race? (i.e, get to the bottom of the incline faster) Hint, this problem is easiest is to do if you do one general derivation that works for both wheels, and then use the result of that derivation at the end to plug into the different cases of the empty and sold wheels. M R H
Transcribed Image Text:10리 119 enrans menod ony onsrg EXAMPLE PROBLEM We are going to race two wheels down an incline. Both have the same mass M and radius R. One of the wheels is a solid cylinder, and the other wheel is an empty hoop, like a bicycle wheel. Both will start from a height of 10 centimeters and the incline on which they will both roll on has an angle of 20° angle. Assume that both wheels roll without slipping. Which wheel, the hoop or the solid cylinder, will win the race? (i.e, get to the bottom of the incline faster) Hint, this problem is easiest is to do if you do one general derivation that works for both wheels, and then use the result of that derivation at the end to plug into the different cases of the empty and sold wheels. M R H
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