This lecture covers systems of forces in 3D, equilibrium in 2D, system isolation, free-body diagrams, supports, joints, rectangular components of a vector in 3D, moments and couples in 3D, and moment about a point to an axis. It also discusses the concept of resultants for a system of forces acting on a rigid body, introducing couples for each force, and transferring forces to an arbitrary point. Examples include loading a corner bracket and determining vectorial expressions for associated wrenches.
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