A 3-m board of mass 5 kg is hinged at one end. A force F is applied vertically at the other end to lift a 60-kg block, which rests on the board 80 cm from the hinge, as shown in Figure. (a) Find the magnitude of the force needed to hold the board stationary at q = 30o. (b) Find the force exerted by the hinge at this angle. (c) Find the magnitude of the force F and the force exerted by the hinge if F is exerted perpendicular to the board whenq = 30o.
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