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Question: 

A uniform ladder of mass $m$ and length $l$ leans at an angle $\theta$ against a frictionless wall, Fig. 9–70. If the coefficient of static friction between the ladder and the ground is $\mu_s$, determine a formula for the minimum angle at which the ladder will not slip.

Problem 30.

Problem 9-70.

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

Quick Answer: 

$\theta = \tan^{-1} \left( \dfrac{1}{2 \mu_s} \right)$

Giancoli 7th Edition, Chapter 9, Problem 30

(3:90)

Chapter 9, Problem 30 is solved.

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