Grade 12 · Week 06 · Tuesday · Day 02

Free-Body Diagrams: Who Acts on Whom?

Learning objective: Draw only the external forces acting on a single named body.

45–60 min · Offline-capable · No physical apparatus required

Reading & explanation

Isolate the system

A free-body diagram (FBD) includes forces acting ON the selected object. For a book resting on a table, Earth exerts gravitational weight downward and the table exerts a normal force upward. The equal and opposite force the book exerts on the table belongs on a different diagram. An FBD is not a picture of every force in the room.

Name the interaction agent

Labels such as 'Earth on book' and 'table on book' clarify which agent provides each force. The normal force is a contact force perpendicular to the supporting surface; weight is Earth's gravitational force. An arrow representing velocity does not belong in an FBD. Nor do we draw an extra force called 'acceleration'.

How to determine a normal force

For a block in contact with a horizontal surface and with no vertical acceleration, ΣFy=N+Fup−Fdown−mg=0. Therefore N=mg+Fdown−Fup. When no extra vertical forces act, N=mg, but this is a special situation, not a general identity. Normal force and weight act on the same object, so they cannot be a Newton's-third-law pair.

Our boundaries and limits

The Force Builder restricts upward applied forces to less than the minimum modeled weight. This guarantees contact in its idealized level-support model. Lifting off, tilting, rolling, friction transitions and contact loss are outside its scope. Draw the diagram and compare the displayed vertical force ledger to your calculation.

Vocabulary

free-body diagram
A drawing of external forces acting on one chosen body.
normal force
Contact force perpendicular to the supporting surface.
weight
Downward gravitational force of magnitude mg near Earth.
system boundary
Decision defining what body is being analyzed.
force agent
An object or field applying the named force.

Worked example

A 4 kg stationary book has weight 4×9.8=39.2 N down and normal 39.2 N up. Add an upward pull 5 N and normal becomes 39.2−5=34.2 N if contact continues.

Show direction, units, body boundaries and your calculations.

Independent science journal

Draw two FBDs for a book with and without an additional 5 N upward pull; label the agents and calculate normal forces.

Browser-local journal only. Export a backup for another device.

Daily · 4 Practice Questions

Public, open-book practice with feedback and an 80% correction target. It is not a supervised final.