3 dimension reactions problem - statics

AI Thread Summary
The discussion revolves around a statics problem involving a 100-kg rectangular plate supported by hinges and a cable. Participants clarify that the phrase "the hinge at B does not exert any axial thrust" indicates there are no reaction forces parallel to the AB direction, meaning only vertical and lateral reactions are present. This stipulation is crucial for ensuring the problem remains statically determinate, allowing for the calculation of tension in the cable and reactions at hinges A and B. The consensus is that the hinge can support forces in the y-axis and z-axis but not moments about the x-axis. Understanding these constraints is essential for solving the problem accurately.
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Homework Statement


A 100-kg uniform rectangular plate is supported in the position shown by hinges A and B and by cable DCE that passes over a frictionless hook at C. Assuming that the tension is the same in both parts of the cable, determine (a) the tension in the cable, (b) the reactions at A and B. (assume that the hinge at B does not exert any axial thrust)


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The Attempt at a Solution


What does it mean when it says assume that the hinge at B does not exert any axial trust?
Everyone keeps telling me that it means that there's no reactions, yet in the free body diagram, I see reaction forces, just no reaction moments, is this what it means?
 

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I don't know, but would guess (and proceed on the assumption that) it means no reaction component parallel to AB.
 
It means at hinge B, there will be reaction forces in the direction of the y-axis and z-axis. It's a hinge, so it can't support a reaction moment about the x-axis.

I think the stipulation about hinge B not being able to support an axial reaction force is to ensure that the problem is statically determinant.
 
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