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Physics · Ch 3 — Laws of Motion

Free Body Diagram

3.3.1

Free Body Diagram

A free body diagram (FBD) is the essential first tool for analysing motion with Newton's laws. It is built with the following systematic steps:

  1. Identify every force acting on the chosen object (never a force the object itself exerts on something else).
  2. Represent the object as a single point.
  3. Draw each identified force as a vector arrow from that point, with its correct direction and (where relevant) relative magnitude.
Note

A crucial rule: forces exerted by the object (on other bodies) must never appear in its own free body diagram — only forces acting on it.

For a book resting on a table, exactly two forces act on the book: its weight mgmg (downward, from Earth's gravity) and the table's normal contact force NN (upward); since the book is in equilibrium, N=mgN=mg, and the two arrows are drawn equal in length, opposite in direction. By Newton's third law, the book in turn exerts a downward force on the table (equal to NN) and an upward gravitational pull on the Earth (equal to mgmg) — but neither of these belongs in the book's free body diagram, since they are forces exerted by the book, not on it. …

Figure 3.1(FBD)Free body diagram of a book on a table

What this figure shows. Two equal-length arrows are drawn from a point representing the book: mg downward (gravity) and N upward (the table's normal force); no force the book itself exerts is included. …