A uniform stationary ladder of length L = 4.2 m and mass M = 19kg leans against a smooth vertical wall, while its bottom legs reston a rough horizontal floor. The coefficient of static frictionbetween floor and ladder is μ = 0.38. The ladder makes an angle θ =53° with respect to the floor. A painter of mass 8M stands on theladder a distance d from its base.
a. Find the magnitude of the normal force N, in newtons, exertedby the floor on the ladder.
b. Find an expression for the magnitude of the normal force NWexerted by the wall on the ladder.
c. What is the largest distance up the ladder dmax, in meters,that the painter can stand without the ladder slipping?
