Couple
A couple is a set of two forces that have:
- the same magnitude
- opposite directions
For example, there may be one force which acts upwards at
Points of action
Importantly, when we have a couple, the forces do not act on the same point.
Usually, they’ll act on opposite sides of a pivot, which creates a turning effect.
Transformation from a couple
- Because the forces are equal and act in opposite directions, they do not translate (move) the object.
- They do rotate the object. You can see how that works here:
| d
6N | <----->
⌄
----------+----------
^
<-----> | 6N
d |
- Both forces are the same distance from the pivot in this example.
- They have the same force, which means that the object isn’t going to go up or down.
- But the forces are in opposite directions: both are going anticlockwise
around the pivot (
+). That means that the plank will turn anticlockwise.
flashcards
| Question | Answer |
|---|---|
| What is a couple? | A set of two forces that have the same magnitude and opposite directions |
| Give an example of a couple | One force acting upwards at |
| Where do the forces in a couple act? | They do not act on the same point; usually on opposite sides of a pivot |
| What is the translational effect of a couple? | They do not translate (move) the object |
| What is the rotational effect of a couple? | They do rotate the object |
| In the example diagram, both forces are the same distance from the pivot and have the same force — what does this mean for the object’s vertical motion? | The object is not going to go up or down |
| In the example diagram, both forces act anticlockwise around the pivot — what happens to the plank? | The plank will turn anticlockwise |