A uniform ladder 4.90 m long rests against a frictionless, vertical wall with its lower end 2.70 m from the wall. The ladder weighs 165 N . The coefficient of static friction between the foot of the ladder and the ground is 0.430. A painter weighing 741 N climbs slowly up the ladder.
A. What is the maximum frictional force that the ground can exert on the ladder at its lower end?
B. What is the actual size of the frictional force when the painter has climbed 1.2417 m along the ladder?
C. How far along the ladder can the painter climb before the ladder starts to slip?