Cable AB passes over the small ideal pulley C without a change in its tension. What length of cable CD is required for static equilibrium in the position shown? What is the tension T in cable CD? T 3.2₁' A 42° C B 62 lb D
Cable AB passes over the small ideal pulley C without a change in its tension. What length of cable CD is required for static equilibrium in the position shown? What is the tension T in cable CD? T 3.2₁' A 42° C B 62 lb D
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Transcribed Image Text:Cable AB passes over the small ideal pulley C without a change in its tension. What length of cable CD is required for static equilibrium
in the position shown? What is the tension T in cable CD?
T A
3.2'
Answers:
LCD =
TCD= i
i
42°
B
62 lb
ft
lb
D
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Step 1: Know the condition for static equilibrium:
VIEWStep 2: Draw a diagram showing direction of forces and calculate tension in CB:
VIEWStep 3: Use the condition of equilibrium to obtain the equations relating tensions:
VIEWStep 4: Calculate the angle theta:
VIEWStep 5: (a) Calculate the length of the string CD:
VIEWStep 6: (b) Calculate the tension in the string CD:
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