How Do You Determine the Tension in Cable ABD and the Reaction at Support C?

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To determine the tension in cable ABD and the reaction at support C, it's essential to analyze the forces acting on the frame, particularly focusing on the upward force T and the leftward force T at the respective points. Neglecting friction simplifies the problem, allowing for a straightforward application of equilibrium equations. By summing the moments around the fulcrum and considering the forces acting on the system, the correct tension can be calculated. The discussion concludes with a confirmation that the method used yields the correct answer, aligning with the solution provided in the reference material. Understanding these principles is crucial for accurately solving similar problems in mechanics.
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Neglecting friction, determine the tension in cable ABD and the reaction at support C.

http://www.imagevimage.com/images/Picture1.jpg

help.. i don't have any idea to solve for the tension so that i could solve for the component force c
 
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Try forgetting that there's a string and a pulley; think instead of a force T acting upward at the LHS of the horizontal part of the frame and a force T acting leftward at the top of the vertical part of the frame.

[Forget also that the leftward force would make the frame slide on the fulcrum! Think of it as a hinge instead]

Can you write the sum of moments?
 
yeah.. thank you.. i got the right answer.. same as the book..
 
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