A 5 m long ladder of mass 21 kg leans up against a frictionless wall and makes an angle of 65 with the floor.

A 5 m long ladder of mass 21 kg leans up against a frictionless wall and makes an angle of 65 with the floor. The center of mass of the latter is a the midpoint of the ladder, and a paint bucket of mass 5 kg hangs from the ladder 1 m (as measured along the ladder) from the top. What is the normal force exerted by the wall on the ladder? (HINT: Take the pivot point to be the bottom of the ladder.)