A weight W is supported by joining it to a vertical uniform metal pole by a thin cord passing over the pulley having negligible friction and mass. The cord is joined to the pole 40.0 cm beneath the top and pulls horizontally on it. The pole is pivoted concerning a hinge at it base, is 1.75 m tall, and weighs 55.0 N. A thin wire joins the top of the pole to a vertical wall at an angle of 37.0 degrees to the wall. The nail which holds this wire to the wall will pull out if an outward force more than 22.0N acts on it.
(i) What is the maximum weight W which can be supported in this way without pulling out the nail?
(ii) Determine the magnitude of the force which the hinge applies on the pole?