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... of a planar particle

By applying equilibrium to the free-body diagram of a particle you can find unknown forces. At maximum two unknown forces can be solved in a planar problem and three forces in a threedimensional problem. The steps involved are:

  1. Draw the free body diagram of the particle
  2. Split the forces in convenient directions by applying resolution of forces
  3. Solve the forces using F=0\sum F = 0 in two nonparallel convenient directions. This step is treated in chapter 2.3.2 of the book Engineering Mechanics Volume 1 Hartsuijker & Welleman, 2006.

Exercises

  • If you’re a TU Delft student, you can practise with the following ANS exercises. Ignore questions which ask for a force polygon/‘krachtenveelhoek’.
  • Exercises 2.33, 2.37, 2.38a, 2.39b, 2.40b, 2.41, 2.42 (without force polygon), in chapter 2.4 of the book Engineering Mechanics Volume 1 Hartsuijker & Welleman, 2006. Answers are available on this website.
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