A uniform ladder is 10.0-m long and weighs 200 N. The ladder leans against a vertical, frictionless wall at a height of 8.00 m above the ground. A horizontal force ~ Fa is applied to the ladder at a distance of 2.00 m from its base (measured along the ladder). The coefficent of static friction between the ladder and the ground is 0.500.
(a) What is the maximum value of ~ Fa that you can push on the ladder to the left without it beginning to slide towards the wall?
(b) What is the maximum value of ~ Fa that you can push on the ladder to the right without it beginning to slide away from the wall?