It would prevent rotation about the x axis, so we have a moment reaction about the x axis. This hinge would prevent rotation about the x axis, so we have a moment reaction about the x axis. So we have our force reactions, Ax, Ay, and Az. Prevents motion in the x direction, it would prevent motion in the y direction, and it would prevent motion in the z direction. So on this hinge, you can see that the hinge. And the last thing we needed to do was to put on the moment and force reactions at the hinge. We've got the cable here that's got a tension, so it's, and it's acting on a 3 on 4 slope in the x z plane. The, the weight acting at its mass center. We've got the 50 pound force of the door itself. We've put on our external forces and moments, in this case, we've got a 15 pound force acting at d. And so in this case The, the freebody diagram is, the body in question is the door, okay? So we've sketched the door. Okay, now that you've thought about that, what you should have thought about first to do, as always, is do a free body diagram. And so go ahead and, and start the problem if you can and come on back when you've figured out what you should do. And we also want to find the tension in this cable. And we want to find the force and moment reactions at the hinge. But we've got this cable from b to c and we have a 15 pound force which is pulling on that, that door at point d here in the x direction. Duct tape is another thing that engineers like to use a lot of. Luckily we used a cable instead of duct tape. And to compensate, engineers are famous for using all kinds of ways to jerry-rigged structures like this, and so, to compensate temporarily, we've used a cable that has been attached from b to c. We have a door, okay, it's homogeneous it weighs 50 pounds and it's lost its lower hinge. We did that last module and we're going to do another problem today. Today we're going to apply those 3D equilibrium equations to solve for another problem where we want to find the force reactions and the moment reactions acting on a body. Hi, this is Module 29 of an introduction engineering mechanics. Wayne Whiteman directly for information regarding the procedure to obtain a non-exclusive license. Any other use of the content and materials, including use by other academic universities or entities, is prohibited without express written permission of the Georgia Tech Research Corporation. By participating in the course or using the content or materials, whether in whole or in part, you agree that you may download and use any content and/or material in this course for your own personal, non-commercial use only in a manner consistent with a student of any academic course. The copyright of all content and materials in this course are owned by either the Georgia Tech Research Corporation or Dr. The course addresses the modeling and analysis of static equilibrium problems with an emphasis on real world engineering applications and problem solving. Concepts will be applied in this course from previous courses you have taken in basic math and physics. This course is an introduction to learning and applying the principles required to solve engineering mechanics problems.
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