A shop sign of mass is suspended from the ceiling by two identical light cables that…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A shop sign of mass 20 kg20\,\text{kg} is suspended from the ceiling by two identical light cables that lie in the same vertical plane and make equal angles of 30∘30^{\circ} with the vertical. (a) Draw the free-body diagram of the sign, clearly showing all forces acting on it. (b) Resolve the forces into convenient perpendicular components and write the equilibrium conditions along those directions. (c) Calculate the tension in each cable.

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