A uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0 m from the wall. The ladder weighs 160 N. The coefficient of static friction between the foot of the ladder and the ground is 0.40. A man weighing 740 N climbs slowly up the ladder. Start by drawing a free-body diagram of the ladder. (a) What is the maximum friction force that the ground can exert on the ladder at its lower end? (b) What is the actual friction force when the man has climbed 1.0 m along the ladder? (c) How far along the ladder can the man climb before the ladder starts to slip?

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A uniform ladder 5.0 m long rests against a frictionless, vertical
wall with its lower end 3.0 m from the wall. The ladder weighs
160 N. The coefficient of static friction between the foot of the ladder
and the ground is 0.40. A man weighing 740 N climbs slowly up the
ladder. Start by drawing a free-body diagram of the ladder. (a) What is
the maximum friction force that the ground can exert on the ladder at
its lower end? (b) What is the actual friction force when the man has
climbed 1.0 m along the ladder? (c) How far along the ladder can the
man climb before the ladder starts to slip?

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