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A uniform ladder of length l and mass m rests against a smooth, vertical wall. The...

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)

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Answer #1

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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