Reading the situation first
Friction problems have no formula to memorise. They have a question to answer first, and once it is answered the rest is arithmetic you already know.
Always ask this first
Is the object moving?
Everything else follows from the answer, because it decides which of the three frictions you are dealing with.
The three branches
| The problem says | The friction is | Then |
|---|---|---|
| Not moving | Static — equal to the applied force | The forces balance; nothing to work out |
| Just about to move | Limiting — the maximum | The applied force equals the limiting friction |
| Sliding | Dynamic — given in the problem | Find the unbalanced force, then use F = m a |
The two relations you need
While it slides
unbalanced force = applied force − friction
And then chapter 4 takes over: that unbalanced force is the F in F = m a.
Pressing on the surface
R = weight (on a horizontal surface)
Stack something on top and R rises by that much, and so does the limiting friction.
One block, six examples
The next two pages work through six problems on the same block from activity 01: weight 60 N, limiting friction 18 N, dynamic friction 15 N.