A uniform beam of mass is hinged to a wall at its left end and held horizontal by a…

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

Problem

A uniform 4.0 m4.0\,\text{m} beam of mass 30 kg30\,\text{kg} is hinged to a wall at its left end and held horizontal by a light cable. The cable is attached to the beam 3.0 m3.0\,\text{m} from the hinge and is anchored to the ceiling directly above the hinge, making a 40∘40^{\circ} angle above the beam. A 400 N400\,\text{N} crate hangs from the right end of the beam. Neglect the mass of the cable. Which of the following is closest to the magnitude of the tension in the cable? (a) 9.5×102 N9.5\times10^{2}\,\text{N} (b) 8.3×102 N8.3\times10^{2}\,\text{N} (c) 1.1×103 N1.1\times10^{3}\,\text{N} (d) 1.4×103 N1.4\times10^{3}\,\text{N}

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