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Chapter 43, Problem 9RQ

Where is the only permanent suction line on a heat pump?

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The system shown below is in statics equilibrium. Cable OB lies in the xy plane and makes a 30° angle with the positive x-axis. Cable OA lies along the negative y-axis. If the weight of the load being supported is 100 lb, determine the magnitude of the forces in all four cables: OA, OB, OC, and OD.
This is a mechanics/statics problem involving finding internal reactions, V(x) and M(x). Please refer to image for details. I'm not sure about where to take cuts and how to formulate the equations as a function of x. For my support Reactions I got Ay = 1008.33 lb, By = 1416.67 lb and Cy = 175 lb. and for the first cut V(x) = 1008.33 -250(x) and M(x) = 1008.33x - 125x^2. I'm struggling with the equations for the 2nd and 3rd cut.
As shown in the figure below, a ring is used to suspend a load and is supported by Cable OA and Spring OB. Given that the tension in Cable OA is 400 N, what is the weight of the load being supported? Assume the system is in static equilibrium.
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