University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 10 - Dynamics of Rotational Motion - Problems - Exercises - Page 333: 10.61

Answer

a) $293 N$ b) $16.2 s^-2$

Work Step by Step

a) $S* cos(\theta) = f + mg + F$ $S = (mg + F)/(cos(\theta)-sin(\theta) * u_k) = 293 N$ b) $ a = (F*R - S * sin(\theta) * R * u_k)/I = 16.2 s^-2$ $S$ is the force that the rod exerts on the paper as it unrolls. $u_k$ is the coefficient of kinetic friction between the roll of paper and the wall. $I$ is the rod and paper’s moment of inertia. $a$ is the anguar acceleration of the roll.
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