An object at rest on an inclined plane starts to slide when the incline angle is increased to 17°. What is the coefficient of static friction between the object and the incline? (Use g = 9.8 m/s². a) 0.33 b) 0.31 c) 0.37 d) 0 27
An object at rest on an inclined plane starts to slide when the incline angle is increased to 17°. What is the coefficient of static friction between the object and the incline? (Use g = 9.8 m/s². a) 0.33 b) 0.31 c) 0.37 d) 0 27
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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![**Problem Statement:**
An object at rest on an inclined plane starts to slide when the incline angle is increased to 17°. What is the coefficient of static friction between the object and the incline? (Use \( g = 9.8 \, \text{m/s}^2 \).)
**Options:**
- a) 0.33
- b) 0.31
- c) 0.37
- d) 0.27
---
**Explanation:**
This multiple-choice question involves determining the coefficient of static friction (\( \mu_s \)) between an object and an inclined plane at a specific angle of incline. The question involves basic principles of physics, particularly relating to friction and forces on inclined planes.
When an object begins to slide on an incline, the tangent of the angle at which it starts sliding is equal to the coefficient of static friction. This principle can be expressed mathematically as:
\[
\mu_s = \tan(\theta)
\]
Where:
- \( \mu_s \) is the coefficient of static friction.
- \( \theta \) is the angle of incline (in this case, 17°).
To find \(\mu_s\), calculate \(\tan(17°)\).
The provided options give different values for \(\mu_s\), and the task is to choose the correct one based on the calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F500c0e80-687a-4e1b-8f8e-54233bb713dd%2F3f44829e-b007-4aec-ad7c-6959de60b2f8%2Fwfug9ac_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
An object at rest on an inclined plane starts to slide when the incline angle is increased to 17°. What is the coefficient of static friction between the object and the incline? (Use \( g = 9.8 \, \text{m/s}^2 \).)
**Options:**
- a) 0.33
- b) 0.31
- c) 0.37
- d) 0.27
---
**Explanation:**
This multiple-choice question involves determining the coefficient of static friction (\( \mu_s \)) between an object and an inclined plane at a specific angle of incline. The question involves basic principles of physics, particularly relating to friction and forces on inclined planes.
When an object begins to slide on an incline, the tangent of the angle at which it starts sliding is equal to the coefficient of static friction. This principle can be expressed mathematically as:
\[
\mu_s = \tan(\theta)
\]
Where:
- \( \mu_s \) is the coefficient of static friction.
- \( \theta \) is the angle of incline (in this case, 17°).
To find \(\mu_s\), calculate \(\tan(17°)\).
The provided options give different values for \(\mu_s\), and the task is to choose the correct one based on the calculation.
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