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Part E Find the tension of the cord B in the figure (b). Express your answer in

ID: 1430396 • Letter: P

Question

Part E

Find the tension of the cord B in the figure (b).

Express your answer in terms of w.

w•6+22

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Part F

Find the tension of the cord C in the figure (b).

Express your answer in terms of w.

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Figure 1 of 1

Part E

Find the tension of the cord B in the figure (b).

Express your answer in terms of w.

TB =

w•6+22

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Incorrect; Try Again; 3 attempts remaining

Part F

Find the tension of the cord C in the figure (b).

Express your answer in terms of w.

TC =

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Figure 1 of 1

Explanation / Answer

Sum of the forces in the vertical direction on the lamp (up is positive) = 0
0 = Tc - w
Tc = w

Sum of the vertical forces on the node = 0
0 = Tb*sin(45) - Ta*cos(60) - Tc

Sum of the horizontal forces on the node = 0
0 = Tb*cos(45) - Ta*sin(60)

Ta = Tb *cos(45) / sin(60)

0 = Tb*sin(45) - Tb*cos(45) / sin(60)*cos(60) - Tc
Tb = Tc / (sin(45) - cos(45)/tan(60))
Tb = 3.35*w

Ta = 2.73*w

Ta = 2.73*w
Tb = 3.35*w
Tc = w

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