Free Body Diagrams

Force Systems


Static Equilibrium

  • 2D Particle Example-Cables Demonstrates static equilibrium analysis of particles with forces applied by cables. In Parts 1 and 2, geometric and trigonometric relations are used to solve the problem. In Part 3, vectors are used to solve the problem. In Part 4, techniques for solving linear systems of equations are demonstrated.
  • 2D Particle Example-Block and Ramp Static equilibrium analysis of a block on a frictionless ramp; particle analysis is used because there are no moments on the block.
  • 2D Rigid Body Example-Crane Static equilibrium analysis of the boom of a crane. Parts 1, 2, and 3 use geometry and trig to find force components and moment arms from which the unknowns are computed. Parts 4 and 5 use vectors to compute the unknowns.
  • 2D Rigid Body Example-Barrel Static equilibrium analysis of the force necessary to roll a barrel up a step. Part 2 uses the properties of 3-force bodies to solve the problem.
  • 2D Rigid Body Example-Stop Light Static equilibrium analysis of the forces and couples acting on the arm and pole of a traffic light.
  • 2D Rigid Body Example-Stacked Blocks Static equilibrium analysis of how far a block can overhang the block below it before it tilts and slides off.
  • 2D Rigid Body Example-Ladder Static equilibrium analysis of a ladder leaning against a wall and the coefficient of friction necessary to keep the bottom from sliding.
  • 3D Particle Example-Cables Demonstrates 3D static equilibrium analysis of particles with forces applied by cables using vectors to solve the problem.
  • 3D Rigid Body Example-Doggie Door 3D static equilibrium analysis of the tension in a cable necessary to hold a doggie door parallel to the ground and the reaction force and couple that the door hinge must exert.




Beam Analysis


  • Introduction to Friction Introduces the Coulomb model of friction and does a short example of computing frictional force.
  • Friction Example-Box on Ramp Shows how to determine if a box on a ramp will begin to slide based on the coefficient of friction between the box and the ramp.



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