Forces and Tensions: Two Masses Suspended from Cable System

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Two masses, 50 kg and 20 kg, are suspended from a cable system, and the tensions in cables AB, BC, CD, and CE need to be determined. The initial attempt focused on point B, yielding tensions Tab and Tbc, but there are concerns about the accuracy of these findings. A critical observation highlights that the forces acting on the 20 kg mass at point C do not balance correctly, indicating a need for a revised diagram. It is suggested to create separate free body diagrams for each mass to ensure that the sum of forces equals zero. Accurate force representation is essential for solving the problem effectively.
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Homework Statement



Two masses, 50 kg and 20 kg, are suspended from a cable system. Determine tentions in cables AB, BC, CD, CE

Homework Equations



law of cosines
law of sines

The Attempt at a Solution



I tried by solving around point B first and have found Tab and Tbc.
Are my findings correct? See attache .pdf
 

Attachments

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One question: Is the angle between CD and CE also 40o?

One observation: You have drawn three forces acting on the 20 kg mass at C. Tension CE is up and to the right, tension 196 is straight down and tension CD is only to the right. These three forces cannot possibly add up to give zero because the net force will surely have a non-zero component to the right. You need to redraw the diagram using arrows to indicate the direction of each force.

One suggestion: Draw two separate free body diagrams, one for each mass saying that the sum of all the forces in each diagram must be zero.
 

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