… 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:
Draw the free body diagram of the particle
Split the forces in convenient directions by applying resolution of forces
Solve the forces using \(\sum F = 0\) in two nonparallel convenient directions. This step is treated in chapter 2.3.2 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006).
Exercises#
If you’re a TU Delft student, you can practise with the following
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 and Welleman, 2006). Answers are available on this website.