A uniform rod long is hinged to a vertical wall at its upper end and supports a sign…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 5.0 kg5.0\,\text{kg} uniform rod 0.80 m0.80\,\text{m} long is hinged to a vertical wall at its upper end and supports a 15 kg15\,\text{kg} sign that hangs from its outer (lower) end. A cable is attached from the outer end of the rod to the wall so that the cable makes an angle of 30∘30^{\circ} above the rod. If the rod is horizontal and the system remains at rest, determine the tension in the cable. Use g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}.

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