Forces, vectors and free body diagrams

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Question 10
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A particle at the origin O O\,O is acted upon by three coplanar forces: F1\mathbf{F}_1F1​, F2\mathbf{F}_2F2​, and F3\mathbf{F}_3F3​. The particle is in static equilibrium. The vectors F1\mathbf{F}_1F1​ and F2\mathbf{F}_2F2​ are plotted on the grid below, where each grid unit represents a force of 1 N.

Vector grid diagram

Calculate the magnitude of the force F3\mathbf{F}_3F3​.

34 N\sqrt{34}\text{ N}34​ N

58 N\sqrt{58}\text{ N}58​ N

32 N3\sqrt{2}\text{ N}32​ N

74 N\sqrt{74}\text{ N}74​ N

Forces, vectors and free body diagrams Questions

  1. GCSE
  2. /Physics
  3. /Forces, vectors and free body diagrams