Question

A uniform ladder of mass m = 40 kg rests against a smooth vertical wall making an angle 30º with horizontal. The lower end of ladder rests on a rough floor having An electrician having mass 80 kg attempt to climb the ladder to repair house wiring. Fraction of length than can be encountered by the electrician before the ladder begins to slip, wil

Answer 1

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/2cosθ=0

μmgLsinθ−mg L/2 cosθ=0

tanθ=1/ 2μ

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