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A 0.237 kg book rests at an angle against one side of a bookshelf. The magnitude and direction of the total force exerted on the book by the left side of the bookshelf are given by   |FL|=1.01                 θL=63.0°   What must the magnitude |FB| and direction θB of the total force exerted on the book by the bottom of the bookshelf be in order for the book to remain in this position?

A 0.237 kg book rests at an angle against one side of a bookshelf. The magnitude and direction of the total force exerted on the book by the left side of the bookshelf are given by   |FL|=1.01                 θL=63.0°   What must the magnitude |FB| and direction θB of the total force exerted on the book by the bottom of the bookshelf be in order for the book to remain in this position?

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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A 0.237 kg book rests at an angle against one side of a bookshelf. The magnitude and direction of the total force exerted on the book by the left side of the bookshelf are given by

 

|FL|=1.01                 θL=63.0°

 

What must the magnitude |FB| and direction θB of the total force exerted on the book by the bottom of the bookshelf be in order for the book to remain in this position?

The image illustrates a red book leaning against the corner formed by a vertical and horizontal surface. The image highlights two forces and their angles, as follows: 1. **Force \( F_L \)**: This force is acting at the top part of the book, directed upwards and away from the vertical surface. The angle associated with this force is \( \theta_L \), which is between the force vector and the vertical surface. 2. **Force \( F_B \)**: This force acts at the bottom of the book, directed upwards and away from the horizontal surface. The angle corresponding to this force is \( \theta_B \), which is between the force vector and the horizontal surface. These forces and angles depict the dynamics of how the book is being supported by the surfaces, considering gravitational and frictional forces that might be acting on it.
Transcribed Image Text:The image illustrates a red book leaning against the corner formed by a vertical and horizontal surface. The image highlights two forces and their angles, as follows: 1. **Force \( F_L \)**: This force is acting at the top part of the book, directed upwards and away from the vertical surface. The angle associated with this force is \( \theta_L \), which is between the force vector and the vertical surface. 2. **Force \( F_B \)**: This force acts at the bottom of the book, directed upwards and away from the horizontal surface. The angle corresponding to this force is \( \theta_B \), which is between the force vector and the horizontal surface. These forces and angles depict the dynamics of how the book is being supported by the surfaces, considering gravitational and frictional forces that might be acting on it.
The image presents two expressions, each followed by an empty box for input: 1. \(|F_B| = \) [Input Box] N - This expression is for the magnitude of force \( F_B \), measured in Newtons (N). 2. \(\theta_B = \) [Input Box] - This expression is for the angle \(\theta_B\). The layout suggests a context where these values need to be entered or calculated as part of a physics problem involving forces and angles.
Transcribed Image Text:The image presents two expressions, each followed by an empty box for input: 1. \(|F_B| = \) [Input Box] N - This expression is for the magnitude of force \( F_B \), measured in Newtons (N). 2. \(\theta_B = \) [Input Box] - This expression is for the angle \(\theta_B\). The layout suggests a context where these values need to be entered or calculated as part of a physics problem involving forces and angles.
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