← Weight, mass and free-body diagrams

Read a free-body diagram

Hollis tows a wagon down the sidewalk, his little cousin riding in it. Here is the wagon's free-body diagram, already drawn.

force from Hollisfrictionweightnormal force
The wagon's four forces, named by their labels.

A finished free-body diagram holds a lot of information. What can you read off it?

Read a free-body diagram in three passes: name the forces, compare the arrow lengths, then say which direction wins.

First, the names. The labels carry them: the force from Hollis, rightward; friction, leftward; the weight, down; the normal force, up.

Second, the lengths. A longer arrow means a bigger force.

On this diagram the up arrow and the down arrow are equal: the normal force matches the weight.

The rightward arrow is longer than the leftward one: the force from Hollis beats friction.

The diagram shows a box being lifted by a rope. Which direction wins?

tensionweight

Third, the verdict, one line at a time.

Up against down: equal arrows, so neither direction wins.

weightnormal force
The vertical line alone: equal arrows, so neither direction wins.

The diagram shows a wind chime hanging from a hook. Which direction wins?

tensionweight

Right against left: the longer arrow wins, so rightward wins overall.

force from Hollisfriction
The horizontal line alone: the longer arrow wins.

Any free-body diagram reads the same way: names from the labels, sizes from the lengths, and the winner from the longer arrow on each line.

The diagram shows a mop being pushed across a floor, with equal vertical arrows. Which direction wins overall?

force from Clarafrictionweightnormal force
Read a free-body diagram in three passes: names from the labels, sizes from the arrow lengths, and the winner on each line from the longer arrow.

A hanging planter's diagram shows a tension arrow up, drawn longer than its weight arrow down. Read the diagram: which direction wins?

Name the forces: a tension up, the weight down.

Compare the lengths: the up arrow is longer.

The longer arrow wins its line.

The tension beats the weight; upward wins.

A canoe is dragged over sand. Its diagram shows the force from Demi leftward, a shorter friction arrow rightward, and equal weight and normal-force arrows. Which direction wins overall?

Name the forces: the force from Demi, friction, the weight, the normal force.

Up against down: equal arrows, so neither wins.

Left against right: the leftward arrow is longer.

Leftward wins overall.

Your turn

The diagram shows a loaded garden cart being pulled. Which statement reads the diagram correctly?

force from the ropefrictionweightnormal force

The diagram shows a hanging basket at rest. Which pair of forces does it show?

tensionweight

On a diagram of a falling pinecone, the drag arrow is drawn shorter than the weight arrow. What does the length difference say?

weightdrag