Statics › Section C · Equilibrium of particles › Topic C.4

3D particle equilibrium

Real cables, guy wires and tripod legs rarely lie in one plane. In three dimensions a particle gives three equilibrium equations, and the forces are written from the coordinates of the points they run between.

In this topic

  • Three equations in space
  • A right-handed frame
  • Writing a force from two points
  • Direction cosines
  • The procedure
  • Worked example: a crate on three cables
  • Solving the system
  • Worked example: a camera tripod
  • Zeros and symmetry help
  • Common mistakes to avoid
  • Key takeaways

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