A uniform horizontal rod of length and weight is hinged to a vertical wall at one end

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

Problem

A uniform horizontal rod of length

4\,\text{m}

and weight

200\,\text{N}

is hinged to a vertical wall at one end. Its free end is supported by a light cable attached to the wall such that the cable makes an angle of

30^{\circ}

with the rod. Neglecting the weight of the cable, find the tension in the cable when the system is in equilibrium. (a)

231\,\text{N}

(b)

200\,\text{N}

(c)

116\,\text{N}

(d)

400\,\text{N}