A uniform horizontal plank 2.0 m long is hinged at its center

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A uniform horizontal plank 2.0 m long is hinged at its center. A 30 N force acts downward at the right end, perpendicular to the plank. At the left end, a force of magnitude F is applied in a direction that makes an angle of 30° above the plank, lying in the same vertical plane. If the net torque about the hinge is zero, what is the magnitude of F? (a) 30 N30\text{ N} (b) 60 N60\text{ N} (c) 34.6 N34.6\text{ N} (d) 120 N120\text{ N}

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