Stuart the student iscleaning out his desk after finals. He opens the hinged lid onhis trash can by exerting a force that makes an angle of80o with horizontal. He keeps the lid open at anangle of 40o with horizontal. The lid's massis 50 g. Since the trash can lid is symmetric, this can beconsidered a 2-D problem, and the center of mass of the lid is atits center.
a) Write out an equation forequilibrium of torques acting on the lid, around the hinge.
b) Find the magnitude of Stuart's force on the lid.
c) Find the verticalcomponent of the force the hinge exerts on the lid.