A uniform horizontal beam of length 3.0 m and weight 60 N is supported by a pivot located 1.0 m from its left-hand end. A load of weight 120 N is suspended from the extreme left-hand end of the beam. A vertical downward force F F\,F is applied to the extreme right-hand end to keep the beam in horizontal equilibrium.

What is the magnitude of the force F F\,F required to maintain equilibrium?
15 N15\text{ N}15 N
45 N45\text{ N}45 N
60 N60\text{ N}60 N
75 N75\text{ N}75 N