(20 Points) \#5, Static equilibrium L=10m long uniform ladder rests against a smooth, vertical wall as shown. The wall is frictionless, but floor is frictional. The ladder makes 53 with the floor. A painter is climbing up the ladder. The mass of the ladder is 7.0kg and the mass of the painter is 60kg. The ladder begins to slip at its base when the painter is 6.0m above the ground. (4 points) a) Draw the free-body diagram for the ladder. ( 6 points) b) Find the applied forces by the floor. (5 points) c) Find the force applied by wall. (5 points) d) Find the minimum value of static friction coefficient between the ladder and floor