What *use* are Newton's "Laws" of Mechanics?
Even a glib answer to that question can easily fill
a 1-year course, if you really want to know.
My purpose here is merely to offer some hints of how
people learned to apply Newton's Laws to different types
of Mechanics problems, began to notice that they were
repeating certain calculations over and over in certain
wide classes of problems, and eventually thought of cute
shortcuts that then came to have a life of their own.
That is, in the sense of Michael Polanyi's *The Tacit Dimension*,
a number of new paradigms *emerged* from the technology
of *practical application* of Newton's Mechanics.

The mathematical process of emergence generally works like this:
we take the SECOND LAW and transform it using a formal
*mathematical identity* operation such as
*"Do the same thing to both sides of an equation
and you get a new equation that is equally valid."*
Then we think up names for the quantities
on both sides of the new equation and *presto!*
we have a new paradigm.
I will show three important example of this process,
not necessarily the way they first were "discovered,"
but in such a way as to illustrate how such things can be done.
But first we will need a few new mathematical tools.

- Some Math Tricks
- Impulse and Momentum
- Work and Energy
- Potential Energy
- Torque and Angular Momentum
- Statics
- Physics as Poetry

Jess H. Brewer - Last modified: Sat Nov 14 12:35:58 PST 2015