13. (Ch 5) You are holding a book against a wall by pushing up at an angle with your hand. Your push makes an angle of 0 with the wall. The mass of the book is m, and the coefficient of static friction between the book and the wall is u. (a) Draw the "free-body" diagram for the book. And then write out the sum of force components in x and y. (b) Rearrange equations to find the magnitude of the push you must exert to (barely) hold the book stationary. In other words, find the force F in terms of all the other given variables. (c) Think Calculus. Determine for what value of the angle is the magnitude of the required push as small as possible (minimum)?
13. (Ch 5) You are holding a book against a wall by pushing up at an angle with your hand. Your push makes an angle of 0 with the wall. The mass of the book is m, and the coefficient of static friction between the book and the wall is u. (a) Draw the "free-body" diagram for the book. And then write out the sum of force components in x and y. (b) Rearrange equations to find the magnitude of the push you must exert to (barely) hold the book stationary. In other words, find the force F in terms of all the other given variables. (c) Think Calculus. Determine for what value of the angle is the magnitude of the required push as small as possible (minimum)?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 9P
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