A sign of weight hangs at rest from two identical cables that are attached to the…

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

Problem

A sign of weight 200 N200\,\text{N} hangs at rest from two identical cables that are attached to the ceiling and make equal 30∘30^{\circ} angles with the horizontal. Which of the following relationships among the forces must be true for the sign to remain in equilibrium? (a) Each cable must exert a tension of 115 N115\,\text{N} (approximately). (b) Each cable must exert a tension of 200 N200\,\text{N}. (c) Each cable must exert a tension of 100 N100\,\text{N}. (d) Each cable must exert a tension of 400 N400\,\text{N}.

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