18. A bag of cement whose weight is F,Shangs in equilibrium from threewires as shown in Figure P5.18. Twoof the wires make angles 0, and 0with the horizontal. Assuming thesystem is in equilibrium, show thatgө2T2T'3the tension in the left-hand wire isF_cosgsin (00,ksqncs bertkaurg teeononeWhenFigure P5.18OkgCEMENT

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Asked Oct 2, 2019
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18. A bag of cement whose weight is F,
Shangs in equilibrium from three
wires as shown in Figure P5.18. Two
of the wires make angles 0, and 0
with the horizontal. Assuming the
system is in equilibrium, show that
g
ө2
T2
T'3
the tension in the left-hand wire is
F_cos
g
sin (00,
ksqncs bertkaurg teeonone
When
Figure P5.18
Okg
CEMENT
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18. A bag of cement whose weight is F, Shangs in equilibrium from three wires as shown in Figure P5.18. Two of the wires make angles 0, and 0 with the horizontal. Assuming the system is in equilibrium, show that g ө2 T2 T'3 the tension in the left-hand wire is F_cos g sin (00, ksqncs bertkaurg teeonone When Figure P5.18 Okg CEMENT

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Expert Answer

Step 1

Write the components of the tension along vertical and horizontal direction. Take upward and right direction as positive and left and downward direction as negative for reference.

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= -Tcos e 1x = T7 sin Q Tax T cos e Ty T sin T3 0 T,, %3 —Т, %3 —F, y

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Step 2

Write the expression of force equilibrium at the junction in x direction.

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T TT = 0 3x -Tcos T cos e, 0 T cos T, cos cos e Т, %3D Т, cos e

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Step 3

Write the expression of force equilibriu...

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Т. Т, + T,, — 0 T sin T sin , - T 0 T, sin +T, sin F sin +7,sin , cos cos e L = Fe (sin (+)) F cose F.cose sin ( )

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