ECOR 1101 Lecture Notes - Lecture 5: Euclidean Vector, Free Body Diagram

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Students will be able to solve 3-d particle equilibrium problems by: drawing a 3-d free body diagram, and, applying the three scalar equations (based on one vector equation) of equilibrium. To the right, is an example of a 2-d or coplanar force system. If the whole system is in equilibrium, then the center particle (a) is also in equilibrium. Drawing fbds (free-body diagram) is essential to solving these kind of problems. What? - it is a drawing that shows all external forces. Why? - it helps you write the equations of equilibrium acting on the particle used to solve for the unknowns (usually forces or angles) Ie. if the entire system is in equilibrium T ab + t ac + t ad = 0 (eq. Imagine the particle to be isolated or cut free from its surroundings. Show all the forces that act on the particle. Active forces: want to move the particle. Reactive forces: tend to resist the motion.

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