A shop sign of mass is suspended by two identical light cables that make equal angles…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A shop sign of mass 30 kg30\,\text{kg} is suspended by two identical light cables that make equal angles of 30∘30^{\circ} with the vertical. Take g=10 m s−2g = 10\,\text{m\,s}^{-2}. What is the tension in each cable? (a) 1.50×102 N1.50\times10^{2}\,\text{N} (b) 3.46×102 N3.46\times10^{2}\,\text{N} (c) 1.73×102 N1.73\times10^{2}\,\text{N} (d) 3.00×102 N3.00\times10^{2}\,\text{N}

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