Lesson Plan: Moment of a Force about a Point in 3D Mathematics

This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find the moment of vector forces acting on a body about a point in 3D.

Objectives

Students will be able to

  • express the moment of a force as a vector,
  • find the moment of a force (or system of forces) in 3D when given the magnitude and direction of the forces acting on the system and the 3D coordinates of the relevant points,
  • find the moment of a force (or system of forces) in 3D when given the forces acting on the system, expressed on a diagram.

Prerequisites

Students should already be familiar with

  • finding the length of the perpendicular between the line of action of the force and a point,
  • vectors,
  • the vector (cross) product,
  • finding the determinant of a 3×3 matrix,
  • moments in 2D.

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