A painter climbs a ladder leaning against a smooth wall. At a certain height, the ladder is on the verge of slipping. Let the mass of the painter be 85.0 kg, length = 5.80 m, the ladder’s mass to be 37.0 kg, è = 51.0°, and the coefficient of friction between ground and ladder be 0.470. (d) Find the maximum distance the painter can climb up the ladder.

Question

A painter climbs a ladder leaning against a smooth wall. At a certain height, the ladder is on the verge of slipping.  Let the mass of the painter be 85.0 kg, length = 5.80 m, the ladder’s mass to be 37.0 kg, è = 51.0°, and the coefficient of friction between ground and ladder be 0.470.  (d) Find the maximum distance the painter can climb up the ladder.