Two cables are tied together at C and are loaded. Find the tension (a) in cable

Question

Two cables are tied together at C and are loaded. Find the tension

(a) in cable AC

(b) in cable BC

thank you for any help!

Explanation / Answer

Tan(Theta) = 960/1100 => Theta = 41.1121 Degrees Tan(theta') = 960/400 => Theta' = 67.3801 Degrees Let tension in cable AC be T1 and Tension in cable BC be T2 From free body diagram we get, In horizontal direction: T1cos(theta) = T2cos(theta') =>T1 = 0.51049*T2 In vertical direction: T1sin(Theta) + T2sin(Theta') = 1600*9.81 =>0.51049*T2*sin(41.1121) + T2*sin(67.3801) = 15696 =>T2 = 12469.598 N......Tension in cable BC =>T1 = 0.51049*T2 = 6365.605 N......Tension in cable AC

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