The given system of knotted cords (label the left knot as J and the right knot as K) supports the indicated weights. a) What is the tension TA in cord A? b) What is the tension TB in cord B? c) What is the tension TC in cord C?

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The given system of knotted cords (label the left knot as J and the right knot as K) supports the indicated weights. 

a) What is the tension TA in cord A?

b) What is the tension TB in cord B?

c) What is the tension TC in cord C?

 

please explain the solution in full details 

Now
We
Diagram
Consider Free Body
Free Body Body
For X
Free Body
125°
Тв
155 80'
Soodyne
TA =
TA =
Con Consider
JA
TA
500
=
Smgo
Sm125°
Now from équation
500
TA
=
Smrs
Sm80
500 x
TA =
Sm/25°
TA =
500
0.9848
0-8191
492.4
TA =
0.8191
6011476 dyne
601.15 dy ne
TB
Smiss
x
Sm 80*
Ans
D
Sm80= 0.9848
Sm 125° = 0·819)
Transcribed Image Text:Now We Diagram Consider Free Body Free Body Body For X Free Body 125° Тв 155 80' Soodyne TA = TA = Con Consider JA TA 500 = Smgo Sm125° Now from équation 500 TA = Smrs Sm80 500 x TA = Sm/25° TA = 500 0.9848 0-8191 492.4 TA = 0.8191 6011476 dyne 601.15 dy ne TB Smiss x Sm 80* Ans D Sm80= 0.9848 Sm 125° = 0·819)
Again from equation (1)
Тв
500
Sm/25
Smi55
TB =
2 x Sm/155)
Тв =
1
500
Sm125°
500 X 0.4226
0-8191
211-3
=
0.8191
257. 97 dyne
TB 2
Free Body Diagram
Ja
175°
100⁰ $145.
1000 dyne
Jaw
257.9660.dyne
For - Y
Тс
Applying Sme
Te
Smloo
Sm145
1000 х
Smloo
Tc =
Sm115
Tc= 1086 61 dyne
1000 (2)
Sm115
1000 X 0.9848
0.9063
Transcribed Image Text:Again from equation (1) Тв 500 Sm/25 Smi55 TB = 2 x Sm/155) Тв = 1 500 Sm125° 500 X 0.4226 0-8191 211-3 = 0.8191 257. 97 dyne TB 2 Free Body Diagram Ja 175° 100⁰ $145. 1000 dyne Jaw 257.9660.dyne For - Y Тс Applying Sme Te Smloo Sm145 1000 х Smloo Tc = Sm115 Tc= 1086 61 dyne 1000 (2) Sm115 1000 X 0.9848 0.9063
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