PHY – A 35 kg uniform ladder is leaned against a building

PHY – A 35 kg uniform ladder is leaned against a building

Question

A 35 kg uniform ladder is leaned against a building. The 5 m tall ladder makes an angle of 60 degrees with the ground. The ladder encounters a coefficient of static friction from the ground of 0.3 and a coefficient of static friction with the wall of 0.42.

A painter must climb two-thirds of the ladder to reach a blank spot on the wall. What is the maximum mass that the painter can have before the ladder begins to slip? (HINT: use the conditions for equilibrium. There are two frictional forces and two normal forces)