Explanation Given: Coefficient of static friction μ Approach: Using the given Figure 3.11 of forces acting on the object find the total force acting on the object along the top surface of the inclined plane. Find the angle such that force of gravity on the object along the top surface of the inclined plane becomes equal to the force due to friction. Show that if the angle is larger than this angle object starts to slide down the plane. Calculation: From Figure 3.11 we get: N = m g cos ( θ ) From 2 nd law of motion we get: m d v d t = m g sin ( θ ) − μ N = m g sin ( θ ) − μ m g cos ( θ ) Hence the object will slide down the plane if

Fundamentals of Differential Equations and Boundary Value Problems

7th Edition

ISBN: 9780321977106

Author: Nagle, R. Kent

Publisher: Pearson Education, Limited

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Rate of Change

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Chapter 3.4, Problem 20E

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To find:

The critical value α0 for which the object will slide if α>α0 but will not move for a<α0.

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Chapter 3.4, Problem 19E

Chapter 3.4, Problem 21E

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Fundamentals of Differential Equations and Boundary Value Problems

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The critical value α 0 for which the object will slide if α > α 0 but will not move for a < α 0 .

Solution Summary: The author explains how the object will slide down the plane if the critical value alpha_0 is mathrmtan-1left

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To find:

The critical value α0 for which the object will slide if α>α0 but will not move for a<α0.

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Chapter 3 Solutions

The critical value α 0 for which the object will slide if α &gt; α 0 but will not move for a &lt; α 0 .

Solution Summary: The author explains how the object will slide down the plane if the critical value alpha_0 is mathrmtan-1left

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To find: The critical value α0 for which the object will slide if α>α0 but will not move for a<α0.

Want to see the full answer?

Chapter 3 Solutions

The critical value α 0 for which the object will slide if α > α 0 but will not move for a < α 0 .

To find:

The critical value α0 for which the object will slide if α>α0 but will not move for a<α0.