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2,55 A sailor is being rescued using a boatswain's chair that is suspended Dfrom a pulley that can roll freely on the support cable ACB and ispulled at a constant speed by cable CD. Knowing that o 30 and8=10° and that the combined weight of the boatswain's chair andthe sailor is 900 N, determine the tension (a) in the support cableACB(b) in the traction cable CD256 A sailoris being rescued usnga boatswainchair that i ndedma pulley that can rol freeon the support cible AC8 atlled at a constant speed by cable CD. Khowine5 and thal the tension incable CD is 80 Ndeemonbined weigh t of the boatswains chasion in the support cable ACandto thethe ten257 For the culbousiFig. P2.55

Question
2,55 A sailor is being rescued using a boatswain's chair that is suspended D
from a pulley that can roll freely on the support cable ACB and is
pulled at a constant speed by cable CD. Knowing that o 30 and
8=10° and that the combined weight of the boatswain's chair and
the sailor is 900 N, determine the tension (a) in the support cableACB
(b) in the traction cable CD
256 A sailoris being rescued usnga boatswainchair that i nded
ma pulley that can rol freeon the support cible AC8 at
lled at a constant speed by cable CD. Khowine
5 and thal the tension incable CD is 80 Ndeem
onbined weigh t of the boatswains cha
sion in the support cable AC
and
to the
the ten
257 For the culb
ousi
Fig. P2.55
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2,55 A sailor is being rescued using a boatswain's chair that is suspended D from a pulley that can roll freely on the support cable ACB and is pulled at a constant speed by cable CD. Knowing that o 30 and 8=10° and that the combined weight of the boatswain's chair and the sailor is 900 N, determine the tension (a) in the support cableACB (b) in the traction cable CD 256 A sailoris being rescued usnga boatswainchair that i nded ma pulley that can rol freeon the support cible AC8 at lled at a constant speed by cable CD. Khowine 5 and thal the tension incable CD is 80 Ndeem onbined weigh t of the boatswains cha sion in the support cable AC and to the the ten 257 For the culb ousi Fig. P2.55

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Step 1

Given information:

Given that the angles are

a 30 And, B10
The combined weight of the chair and the sailor is 900N
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a 30 And, B10 The combined weight of the chair and the sailor is 900N

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Step 2

Calculation:

Draw the free body diagram for the given diagram.

If we observe the figure carefully all forces are in tension. Draw FBD accordingly.

ТCD
ТАВ
ТАВ
10°
30°
900N
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ТCD ТАВ ТАВ 10° 30° 900N

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Step 3

a. To calculate the tension in cable ACB.

If we apply equilibri...

ΣΕ-0
Тр сos 10-TAs соs 30-Tор сos 30 %30
Тдр сos 10-TAs соs 30 %3D Tcp сos 30
Тв (сos10 - cos 30)-Taр сos 30
Тa (0.11) - Т.р Х0.86
0.86
Тg 3 Тер Х-
0.11
ТАв 3D Тер х 7.81
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ΣΕ-0 Тр сos 10-TAs соs 30-Tор сos 30 %30 Тдр сos 10-TAs соs 30 %3D Tcp сos 30 Тв (сos10 - cos 30)-Taр сos 30 Тa (0.11) - Т.р Х0.86 0.86 Тg 3 Тер Х- 0.11 ТАв 3D Тер х 7.81

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