Madison C.
asked • 04/23/20A traffic light weighing 28 pounds is suspended by two wires as shown in the figure below. Find the magnitude |T1| of the tension in wire AC, and the magnitude |T2| of the tension in wire AB.
A traffic light weighing 28 pounds is suspended by two wires as shown in the figure below. Find the magnitude |T1| of the tension in wire AC, and the magnitude |T2| of the tension in wire AB. (Round your answers to the nearest whole number.)
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1 Expert Answer
You don't give the angles so let me answer using the following T1 is 25 degrees to the horizontal, T2 is 34 degrees to the horizontal.
If we look at the horizontal forces we know T1 cos (25) = T2 cos (34) therefore we now know
T1 = 0.915 T2
If we look at vertical forces (staying in pounds) we know T1 sin 25 +T2 sin 34 = 28
Using substitution for T1 we get
(0.915)T2 (sin 25) + T2 sin 34 = 28
T2 = 29.6 pounds
T1 = 27.1 pounds
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Allyse A.
Is the weight 28 N or is the mass 28 lbs? Weight is not equal to mass.. very important to solve this problem. Also, are the wires holding the object at the same angle? (If the angles are not the same, this will also change your answer).04/24/20