Question

A uniform ladder rests in limiting equilibrium, with
its lower end on a rough horizontal plane and its
upper end against a smooth wall. If' theta 'be the
inclination of the ladder to the vertical, prove that
tan theta= 2u.
​

Answer 1

Answer:

Given,

Coefficient of friction =μ

Forces in vertical direction, N1=mg

Forces in horizontal direction, N2=μmg

Moment at point A, take clockwise direction positive.

 N2Lsinθ−mg L/2 cosθ=0

 μmgLsinθ−mg L/2 cosθ=0

 tanθ= 1/2μ

Explanation:

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