A uniform ladder 5.0 m long rests against a frictionless,vertical wall with its

Question

A uniform ladder 5.0 m long rests against a frictionless,vertical wall with its lower end 3.0 m from the wall. The ladderweighs 155 N. The coefficient of staticfriction between the foot of the ladder and the ground is 0.40. Aman weighing 780 N climbs slowly up theladder. b) What is the actual frictional force when the man hasclimbed 1.0 m along the ladder? A uniform ladder 5.0 m long rests against a frictionless,vertical wall with its lower end 3.0 m from the wall. The ladderweighs 155 N. The coefficient of staticfriction between the foot of the ladder and the ground is 0.40. Aman weighing 780 N climbs slowly up theladder. b) What is the actual frictional force when the man hasclimbed 1.0 m along the ladder?

Explanation / Answer

Here the horizontal force must be balanced by the frictionalforce for the ladder not to fall. Then applying the torque equation about the point ofcontact with the ground we have (4m)(n1) = (1.5m)(155N) + (1m)(3/5)(780N) Then n1 = 175.125N Therefore the actual frictional force is 175.125N

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