A weight W is supported by attaching it to a vertical uniform metal pole by a thin

Question:

A weight W is supported by attaching it to a vertical uniform metal pole by a thin cord passing over a pulley having negligible mass and friction. The cord is attached to the pole
40.0 cm below the top and pulls horizontally on it (Fig. 11.60) the pole is pivoted about a hinge at its base, is 1.75 m tall, and weighs 55.0 N. A thin wire connects the top of the pole to a vertical wall. The nail that holds this wire to the wall will pull out if an outward force greater than 22.0 N acts Hinge on it.
(a) What is the greatest weight W that can be supported this way without pulling out the nail?
(b) What is the magnitude of the force that the hinge exerts on the pole?