A uniform stationary ladder of Length L and mass M leans against a smooth vertical wall,while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between the floor and ladder is miu. The ladder makes an angle theta with respect to the floor. A painter of weight 1/2M stands on the ladder a distance d from its base.
a)Find an expression for the magnitude of the normal force N, exerted by the floor on the ladder
b) Find an expression for the magnitude of the normal force, Nw, exerted by the wall on the ladder
c) Find an expression of the largest value of d-max for which the ladder does not slip
