← Weight, mass and free-body diagrams

Draw the free-body diagram: hanging object

A lantern hangs from one vertical rope on a porch. It hangs still.

What does a hanging object's free-body diagram look like?

No surface touches the lantern, so there is no normal force on it.

The rope is stretched, and a stretched rope pulls what it holds. That force is a tension.

The diagram carries two arrows: the lantern's weight, straight down, and one tension, straight up, in the line of the rope.

The lantern hangs at rest, so the two arrows are drawn equal.

weighttension
One rope: weight down, one tension up, equal arrows.

A birdhouse hangs at rest from one vertical rope. Which forces are on its free-body diagram?

Now consider a framed picture hanging level from two vertical cords.

Each cord is its own stretched rope, and each one pulls the picture: one tension arrow per cord.

So the picture's diagram carries three arrows: the weight down, and two tensions up, one in the line of each cord.

The picture hangs at rest, so together the two tensions balance the weight.

weighttension in the left cordtension in the right cord
Two cords: one tension arrow per cord. Together they balance the weight.

A banner hangs level from two vertical cables. How many tension arrows does its free-body diagram carry?

Each cable runs straight up from the banner. In which direction does each tension on the banner act?

A hanging object: weight down, and one tension per stretched rope, each in the line of its own rope. At rest, the tensions together balance the weight.

A heavy flower basket hangs at rest from one vertical chain. Build its free-body diagram.

The basket becomes a box.

Its weight: one arrow, straight down.

The stretched chain pulls it: one tension, straight up.

The basket is at rest, so the two arrows are drawn equal.

Two arrows: weight down, one tension up, equal in length.

A porch swing seat hangs level, at rest, from two vertical chains. Build its free-body diagram.

The seat becomes a box.

Its weight: one arrow, straight down.

Each stretched chain pulls it: one tension arrow per chain, both straight up.

At rest, the two tensions together balance the weight.

Three arrows: the weight down, and two tensions up, one per chain.

Your turn

A punching bag hangs at rest from one vertical chain. Which set of arrows is its correct free-body diagram?

The punching bag hangs at rest. How does the tension in the chain compare with the bag's weight?

A mirror hangs level and at rest from two vertical cords. Which statement about the two tensions is correct?