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Forging new generations of engineers

Learn about free body diagrams, types of forces, and how to create force diagrams. Apply these concepts to pulley systems and trusses.

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Forging new generations of engineers

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  1. Forging new generations of engineers

  2. Free Body Diagrams A lesson on creating force diagrams

  3. In This Lesson: • What are free body diagrams, and how are they used? • What are the types of forces? • How do we create free body diagrams? • How do free body diagrams apply to pulley systems? • How do free body diagrams apply to trusses?

  4. What is a Free Body Diagram?

  5. Newton’s Third Law • For every action, there is an equal and opposite reaction. THE TOP ROCK PUSHES DOWN ON THE BOTTOM ROCK THE BOTTOM ROCK PUSHES BACK UPWARD ON THE TOP ROCK

  6. What is a Force? • A push or a pull acting on an object as the result of an interaction with another object.

  7. Types of Forces • Applied force: one object acts on another Wind pushing on the boat Fapp

  8. Types of Forces • Tension force: transmitted through string, cable, wire, rope, or chain Rope pulling on the boat Ftens θ

  9. Types of Forces • Gravity force: weight; the mass of the Earth pulling on the mass of the boat Gravity pulling the mass of the boat down W

  10. Types of Forces • Normal force: support force Water pushing back up on the boat FN

  11. Types of Forces • Friction force: opposes the motion of the object Water pulling on boat Ff

  12. What is a Free Body? • Substitute a simple shape for the object being analyzed. Fapp Ftens Ff W FN

  13. Creating the Free Body Diagram

  14. Ftens Ftens Ff Ff W W FN FN Creating the Free Body Diagram θ θ

  15. Fapp Fapp W W FN FN Ff Ff Creating the Free Body Diagram θ θ

  16. Ftens Ftens Fapp Fapp WSIGN WSIGN Creating the Free Body Diagram θ θ WELCOME

  17. Your Turn to Create a Free Body Diagram PHYSICS ARCHITECTURE

  18. FN Fapp FN Fapp FN W W FN Your Turn to Create a Free Body Diagram PHYSICS θ ARCHITECTURE θ

  19. FN Fapp FN Fapp W W FN FN A Different Method PHYSICS ARCHITECTURE θ θ

  20. Ftens Ftens Ftens WM1 WM2 Pulley Systems FBD of M1: FBD of the movable pulley: M2 M1 Tension Forces (Ftens ) are equal throughout the system.

  21. L Trusses B A C D

  22. L Trusses B FAX A C D FDY FAY

  23. FBD FBC FAC FCD L Trusses B FAB FAX A C D FDY FAY

  24. FAY FAB FAB FBD FBC FAX FAC FAX FAC FCD L FAY Trusses B A C D FDY NODE A

  25. FAB FBD FBC FAC FCD FAB FBD FBC L Trusses B FAX A C D FDY FAY NODE B

  26. FAC FCD FBD FBC FBC FAC FCD L L Trusses NODE C B FAB C D FDY

  27. FBD FBD FBC FCD FCD FDY L Trusses B C D FDY NODE D

  28. FAY FBD B FAC FCD FAB FBC FAX FCD FAB FBD FBC C L Trusses FAC D A FDY

  29. References Department of Physics, University of Guelph (n.d.). Free body diagrams. Retrieved January 29, 2008, from http://eta.physics.uoguelph.ca/tutorials/fbd/Q.fbd.html Garrett, J. (1999). Truss analysis methods. Retrieved March 2, 2008, from http://www.ce.cmu.edu/~garrett/courses/12-100/LECTURES/truss-analysis-ho.pdf Vawter, R. (2007). Free-body force diagrams. Retrieved March 6, 2008, from http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/Dynamics/Forces/FreeBodyDiagram.html

  30. Credits: Writer: Wendy DeMane Content Editor: Production Work:

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