A door has a height of 2.1 m along a y axis that extends vertically upward and a width of 0.975 m along an x axis that extends o
utward from the hinged edge of the door. A hinge 0.47 m from the top and a hinge 0.47 m from the bottom each support half the door's mass, which is 29 kg. In unit-vector notation, what are the forces on the door at (a) the top hinge and (b) the bottom hinge
As each hinge supports half the door mass, which is 29kg, then each of them are subjected to 29/2 = 14.5 kg of door mass. Let g = 9.81 m/s2, the weight on each hinge would be:
acting downward
In unit-vector notation, the force vectors on the top and the bottom hinges are:
