Assume that the rope is removed from the base of the ladder in Problem. Calculate the mini...

Assume that the rope is removed from the base of the ladder in Problem. Calculate the minimum angle θ at which the ladder will stand without slipping to the left.

Problem

A 16-ft ladder weighing 62 lb (assumed concentrated at its midlength) rests on a horizontal floor and is supported by a vertical wall, as shown. The lower end is prevented from slipping by friction and by a rope attached to the base of the wall. The ladder supports a 200-lb person at the top. The coefficient of static friction at the wall is 0.25; at the floor it is 0.30. Calculate the tension P in the rope necessary to prevent slipping.