Physics · Ch 3 — Laws of Motion
Free Body Diagram
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:
- Identify every force acting on the chosen object (never a force the object itself exerts on something else).
- Represent the object as a single point.
- Draw each identified force as a vector arrow from that point, with its correct direction and (where relevant) relative magnitude.
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 (downward, from Earth's gravity) and the table's normal contact force (upward); since the book is in equilibrium, , 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 ) and an upward gravitational pull on the Earth (equal to ) — but neither of these belongs in the book's free body diagram, since they are forces exerted by the book, not on it. …
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. …