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Get Full Access to University Physics - 13 Edition - Chapter 10 - Problem 72p
Get Full Access to University Physics - 13 Edition - Chapter 10 - Problem 72p

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# A lawn roller in the form of a thin-walled, hollow ISBN: 9780321675460 31

## Solution for problem 72P Chapter 10

University Physics | 13th Edition

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Problem 72P

A lawn roller in the form of a thin-walled, hollow cylinder with mass M is pulled horizontally with a constant horizontal force F applied by a handle attached to the axle. If it rolls without slipping, find the acceleration and the friction force.

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Solution 72P The free diagram of roller F = ma F = ma x x F f = Ma cm....................................(1) we know that =zI z z I =zfR The moment of inertia of thin walled cylinder, I = MR 2 2 fR = MR But cm = R , so f = Ma cm Now Equation (1) is F Ma = Ma cm cm F Ma cm Ma cm= 0 F 2Ma cm= 0 cm = 2 M We have f = Ma and substitute a and find f cm cm E = M( 2M) F = 2

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