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Resolution of forces

THe resolution of forces allows you to split up a force in other directions. In most cases, resolution of forces in the direction of the global or local coordinate system is most useful.

The resolution of forces works both for planar forces (at least one of RxR_x, RyR_y or RzR_z equals 0), and forces in 3-dimensional space. An example of both of these forces is shown in Figure 1. In statics, mostly planar structures are considered, but the procedure of composing and resolving force are identical.

Planar force vs 3-dimensional force

Figure 1:Planar force vs 3-dimensional force

Read chapter 2.1.3 for planar forces and 2.2.1 for forces in 3-dimensional space of the book Engineering Mechanics Volume 1 Hartsuijker & Welleman, 2006.

Exercises

References
  1. Hartsuijker, C., & Welleman, J. W. (2006). Engineering mechanics: Volume 1: Equilibrium. In Engineering Mechanics: Volume 1: Equilibrium. Springer Dordrecht. 10.1007/978-1-4020-5483-9