Please help me with Physics problem?

Question

A 5 m long ladder weights 200N and rests against a smooth vertical wall with its base on a horizontal rough floor, with a coefficient of static firction of .2. The ladder is 1.3m away from the wall and the ladders center of mass is 2.5m from its base. How far up the ladder can a 600N person climb without falling?
Please help!

Answer 1

steps
find the center of mass of the person and the ladder as a function of the height climbed.
find the force on the floor in the vertical (normal) and horizontal direction using the center of mass from above
set the force in the horizontal direction= friction force (solve for h)