A non-uniform fire escape ladder is 6.0 m long when extended to the icy alley below. It is held at the top by a frictionless pivnt, and there is negligible frictional force from the icy surface at the bottom. The ladder weighs 250 N, and its center of gravity is 2.0 m along the ladder from its bottom. A mother and child of total weight 750 N are on the ladder 1.5 m from the pivot. The ladder makes an angle 6 with the horizontal. Find the magnitude and direction of
(a) The force exerted by the icy alley on the ladder and
(b) The force exerted by the ladder on the pivot.
(c) Do your answers in parts (a) and (b) depend on the angle 6?