A uniform ladder having mass and length rests against the smooth wall. A do-it-yourself enthusiast of mass stands on the ladder a distance from the bottom (measured all along the ladder). The ladder forms an angle with the ground. There is no friction between the wall and the ladder; however there is a frictional force of magnitude among the floor and the ladder. Is the magnitude of normal force applied by the wall on the ladder and is the magnitude of the normal force applied by the ground on the ladder. All through the problem, consider counter-clockwise torques to be positive.
Determine the minimum coefficient of static friction needed between the ladder and the ground in such a way the ladder doesn’t slip?