A uniform door (0.81 m wide and 2.1 m high) weighs 140 N and is hung on two hinges that fasten the long left side of the door to a vertical wall. The hinges are 2.1 m apart. Assume that the lower hinge bears all the weight of the door. Find the magnitude and direction of the horizontal component of the force applied to the door by
(a) the upper hinge
(b) the lower hinge.
Determine the magnitude and direction of the force applied by the door to
(c) the upper hinge and
(d) the lower hinge.