Statics › Section D · Moments and static equivalence › Topic D.4

Moments in 3D and about an axis

In three dimensions a moment can point in any direction, and the moment arm is almost never easy to see. The cross product computes the full moment about a point from coordinates alone, and a dot product then extracts the part that turns a body about a hinge or shaft.

In this topic

  • Beyond the page
  • The cross-product moment
  • Components of the moment
  • Three rules for r × F
  • Worked example: a cable on a post
  • Reading the components
  • Moment about an axis
  • Two ways to compute it
  • Worked example: a hinged hatch
  • When the moment about an axis is zero
  • Common mistakes to avoid
  • Key takeaways

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