A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of statis friction between the ladder and the floor is the same as that between the ladder and the wall. If this coefficient of static friction is μs= 0.500, determine the smallest angle the ladder can make with the floor without slipping.

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
Chapter10: Rotational Motion
Section: Chapter Questions
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A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of statis friction between the ladder and the floor is the same as that between the ladder and the wall. If this coefficient of static friction is μs= 0.500, determine the smallest angle the ladder can make with the floor without slipping.

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