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# Chapter-5 - EQUILIBRIUM OF A RIGID BODY APPLICATIONS A 200...

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EQUILIBRIUM OF A RIGID BODY

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APPLICATIONS A 200 kg platform is suspended off an oil rig. How do we determine the force reactions at the joints and the forces in the cables? How are the idealized model and the free body diagram used to do this? Which diagram above is the idealized model?
APPLICATIONS (continued) A steel beam is used to support roof joists. How can we determine the support reactions Again, how can we make use of an idealized model and a free body diagram to answer this question?

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CONDITIONS FOR RIGID-BODY EQUILIBRIUM (Section 5.1) In contrast to the forces on a particle, the forces on a rigid-body are not usually concurrent and may cause rotation of the body (due to the moments created by the forces). For a rigid body to be in equilibrium, the net force as well as the net moment about any arbitrary point O must be equal to zero. F = 0 and M O = 0 Forces on a rigid body Forces on a particle
THE PROCESS OF SOLVING RIGID BODY EQUILIBRIUM PROBLEMS For analyzing an actual physical system, first we need to create an idealized model. Then we need to draw a free-body diagram showing all the external (active and reactive) forces. Finally, we need to apply the equations of equilibrium to solve for any unknowns.

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PROCEDURE FOR DRAWING A FREE BODY DIAGRAM (Section 5.2) 1. Draw an outlined shape. Imagine the body to be isolated or cut “free” from its constraints and draw its outlined shape. 2. Show all the external forces and couple moments. These typically include: a) applied loads, b) support reactions, and, c) the weight of the body. Idealized model Free body diagram
DIAGRAM (Section 5.2) (continued) 3. Label loads and dimensions: All known forces and couple moments should be labeled with their magnitudes and directions. For the unknown forces and couple moments, use letters like A x , A y , M A , etc. . Indicate any necessary dimensions. Idealized model

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Chapter-5 - EQUILIBRIUM OF A RIGID BODY APPLICATIONS A 200...

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