Find the tension in the two wires supporting the 22 kg traffic light shown in Fi

Question

Find the tension in the two wires supporting the 22 kg traffic light shown in Fig. 9-46. (Assume that ?1 = 55

Find the tension in the two wires supporting the 22 kg traffic light shown in Fig. 9-46. (Assume that theta 1 = 55 Degree and Theta 2 = 35 Degree. N (left hand wire) N (Right hand wire) 0.54 kg sheet hangs from a massless clothesline as shown in Fig. 9-53. The line on either side of the sheet makes an angle of 3.5 Degree with the horizontal. Calculate the tension in the clothesline on either side of the sheet. N Why is the tension so much greater than the weight of the sheet?

Explanation / Answer

for first case we have

T1cosO1 = T2cosO2

T1 0.5735 = T2 0.81 ......................................(eqn 1)

T1sinO1 + T2 sin O2 = mg = 220

T10.81 + T2 0.5735 = 220

T1= 189.107 newton and T2= 124.904 newton

b)

2T sin35 = mg

2T*0.57 = 5.4

t = 5.4/1.14 = 4.73 Newton

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