A uniform ladder of mass 30kg and length 5 m rests against a smooth vertical...

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A uniform ladder of mass 30kg and length 5 m rests against a smooth vertical wall with its lower end on rough horizontal ground. The ladder is inclined at 60 to the floor. The coefficient of friction between the ladder and the ground is 0.4. Find how far a man of mass 80 kg can climb up the ladder without it slipping.

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