A traffic light is suspended at rest from two cables that meet at a point above the light

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

Problem

A 20 kg20\,\text{kg} traffic light is suspended at rest from two cables that meet at a point above the light. The left cable makes a 35∘35^{\circ} angle above the horizontal; the right cable makes a 55∘55^{\circ} angle above the horizontal. What is the magnitude of the tension in the right-hand cable? (Assume g=9.8 m/s2g = 9.8\,\text{m/s}^2.) (a) 1.4×102 N1.4\times10^{2}\,\text{N} (b) 1.6×102 N1.6\times10^{2}\,\text{N} (c) 1.1×102 N1.1\times10^{2}\,\text{N} (d) 1.7×102 N1.7\times10^{2}\,\text{N}

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