FFind the horizontal force exerted on the beamby the pole.Answer in units of N.
ID: 2067204 • Letter: F
Question
FFind the horizontal force exerted on the beamby the pole.Answer in units of N. find the force FT provided by the cable.The acceleration of gravity is 9.81 m/s2.Answer in units of N. Find the vertical force exerted on the beamby the pole.Answer in units of N.
A ?oodlight with a mass of 18 kg is used to illuminate the parking lot in front of a library. The ?oodlight is supported at the end of a horizontal beam that is hinged to a vertical pole, as shown. A cable that makes an angle of 26? with the beam is attached to the pole to help support the ?oodlight. Assume the mass of the beam is negligible when compared with the mass of the ?oodlight. FFind the horizontal force exerted on the beamby the pole.Answer in units of N. find the force FT provided by the cable.The acceleration of gravity is 9.81 m/s2.Answer in units of N. Find the vertical force exerted on the beamby the pole.Answer in units of N.Explanation / Answer
net torque about the pole must be zero:
mgL = FT L sin26
>>> FT = mg/sin26 = 18*9.81/(sin26) = 402.40 N
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Fx = 0 :
Nh = FT cos26 = 402.40 cos26 = 361.7 N
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Fx = 0 :
mg = FT sin26 + Nv
18*9.81 = 402.40 * sin26 + Nv
>>>> Nv = 0
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Answers:
horizontal force exerted on the beam by the pole = 361.7 N
the force FT provided by the cable = 402.4 N
vertical force exerted on the beamby the pole = 0 N
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