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Get Full Access to Physics: Principles With Applications - 6 Edition - Chapter 10 - Problem 31pe
Get Full Access to Physics: Principles With Applications - 6 Edition - Chapter 10 - Problem 31pe

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# Consider two cylinders that start down identical inclines

ISBN: 9780130606204 3

## Solution for problem 31PE Chapter 10

Physics: Principles with Applications | 6th Edition

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Problem 31PE

Consider two cylinders that start down identical inclines from rest except that one is frictionless. Thus one cylinder rolls without slipping, while the other slides frictionlessly without rolling. They both travel a short distance at the bottom and then start up another incline. (a) Show that they both reach the same height on the other incline, and that this height is equal to their original height. (b) Find the ratio of the time the rolling cylinder takes to reach the height on the second incline to the time the sliding cylinder takes to reach the height on the second incline. (c) Explain why the time for the rolling motion is greater than that for the sliding motion.

Step-by-Step Solution:

Step-by-step solution Step 1 of 9 For a system with no frictional and other energy losses, according to conservation of energy, the initial energy of a cylinder at some height is equal to the final energy of the cylinder.

Step 2 of 9

Step 3 of 9

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