What does the expression fs ≤u, N represent? Explain. What does the expression fs = M, N represent? Explain.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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1. What does the expression \( f_s \leq \mu_s N \) represent? Explain.

2. What does the expression \( f_s = \mu_s N \) represent? Explain.

**Explanation:**

These expressions relate to the concept of static friction:

1. **\( f_s \leq \mu_s N \)**: This represents the maximum static frictional force that can be exerted between two surfaces before they start sliding past each other. Here, \( f_s \) is the static frictional force, \( \mu_s \) is the coefficient of static friction (a measure of how rough the surfaces are), and \( N \) is the normal force (the force perpendicular to the contact surface). The expression implies that as long as the applied force is less than or equal to this maximum, the object will not move.

2. **\( f_s = \mu_s N \)**: This equation represents the scenario where the static frictional force has reached its maximum value. At this point, any additional force will cause the surfaces to begin sliding relative to each other. It signifies the threshold at which motion starts.
Transcribed Image Text:**Text Transcription:** 1. What does the expression \( f_s \leq \mu_s N \) represent? Explain. 2. What does the expression \( f_s = \mu_s N \) represent? Explain. **Explanation:** These expressions relate to the concept of static friction: 1. **\( f_s \leq \mu_s N \)**: This represents the maximum static frictional force that can be exerted between two surfaces before they start sliding past each other. Here, \( f_s \) is the static frictional force, \( \mu_s \) is the coefficient of static friction (a measure of how rough the surfaces are), and \( N \) is the normal force (the force perpendicular to the contact surface). The expression implies that as long as the applied force is less than or equal to this maximum, the object will not move. 2. **\( f_s = \mu_s N \)**: This equation represents the scenario where the static frictional force has reached its maximum value. At this point, any additional force will cause the surfaces to begin sliding relative to each other. It signifies the threshold at which motion starts.
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