# A 17.8 kg flood light in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole. A cable connected to the beam helps to support the light

A 17.8 kg flood light in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole. A cable connected to the beam helps to support the light. (In thefigure, $\theta$ = 34.2 degrees. Find (A) The tension in the cable and (B) the horizontal and (C) vertical forces exerted on the beamby the pole.

(A) 320 N
(B) 250 N
(C) 0

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i1ziZ

Weight $=mg$
Take $g=9.8N/kg$
Weight of the floodlight $=17.8\cdot 9.8=174.44$ N
Let the length of the beam be x.
Perpendicular distance from the force T to the the point O
$Moment=force\cdot$ perpendicular distance from the line ofaction of the force to the pivot
Anti clockwise moment = clockwise moment

resolving horizontal forces,