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

postillan4 2021-02-04 Answered

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, θ = 34.2 degrees. Find (A) The tension in the cable and (B) the horizontal and (C) vertical forces exerted on the beamby the pole.
image
(A) 320 N
(B) 250 N
(C) 0

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Expert Answer

i1ziZ
Answered 2021-02-05 Author has 92 answers

image
Weight =mg
Take g=9.8N/kg
Weight of the floodlight =17.89.8=174.44 N
Let the length of the beam be x.
Perpendicular distance from the force T to the the point O =x sin34.2
Moment=force perpendicular distance from the line ofaction of the force to the pivot
Taking moments about point O,
Anti clockwise moment = clockwise moment
Tx sin34.2=174.44x
T=310 N resolving horizontal forces,
H=T cos34.2=257 N

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