A uniform ladder of length l and mass m rests against a smooth, vertical wall. The coefficient of static friction between ladder and ground is 0.35. Find the minimum angle at which the ladder does not slip. (Consider the torques about an axis perpendicular to the page through O)
length of the ladder = l, mass of the ladder = m
From the figure; For translational equilibrium along vertical
For translational equilibrium along horizontal
For rotational equilibrium Let we consider moments about the point A
Clockwise moment = anticlockwise moments
Also
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