Classical Mechanics

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Ladder Against the Wall


A ladder is leaning against the wall. Treat the ladder as having a uniform mass density ( the center of gravity is in the center of the ladder), the wall is smooth and therefore exerts only a normal force, whereas the floor is rough with a coefficient of static friction, $\mu_s$.

What is the minimum angle, $\theta$, such that the ladder does not slide on the floor and fall down?

The ladder leans against a smooth wall and is kept from slipping by a rough floor. Find the minimum angle between the floor and the ladder. Created for Copyright 2016. All rights reserved.








Without knowing the mass this question cannot be answered.