Beam / Shelf Against a Wall
15. Rotational Equilibrium / Beam / Shelf Against a Wall / Problem 4
A traffic light of mass 3 kg hangs from the right end of a nonuniform bar as shown in the image. The non-uniform bar is 7 m long and has a mass of 10 kg. The center of gravity of the bar is 4.00 m from its left end. The bar is held by a frictionless pivot at its left end and a light cord at a distance of 2.00 m from the pivot. The light cord is perpendicular to the bar. In its equilibrium position, the bar makes an angle of 30.0° below the horizontal. Determine i) the tension (T) in the cord as well as ii) the force (P) exerted by the pivot on the bar. A free-body diagram of the bar will be very helpful.
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