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Questions  

A 13 m ladder is placed against a smooth vertical wall with its lower end 5m from the wall. What should be the minimum coefficient of friction between ladder and floor so that it remains in equilibrium.   

a
0.36
b
0.72
c
0.21
d
0.52

detailed solution

Correct option is C

vertical direction downward force mg and normal reaction on the floor  clockwise torque about the origin is mgx52 and anticlockwise torque μmg (12)   [12 is the height of the ladder]  as it is in equilibrium mg52 =μmg12 μ=524≈0.21

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