__Classical Mechanics Unit CM3 Central Force Motion __

__Prerequisite: CM2__

** Overview:** This unit covers the mechanics of central force
motion: the motion of a "point" particle" in a potential which depends only
upon the magnitude of its displacement from a central point, not upon its
direction. Examples are the motion of a planet in the gracitational field of
the sun and the motion of an electron in the electric field of a proton (the
hydrogen atom). It is shown that the conservation of angular momentum reduces
this 3 dimensional problem to a one dimensional radial motion problem. You may
want to review some of the basic material on angular momentum in Chapt. 6
before starting this unit

__Read: ____ __

D. Kleppner and R. Kolenkow, *An Introduction to Mechanics
* (K&K) Chapt. 9 - Central Force Motion

** Comment:** K&K is well-written and abounds with instructive and
appropriate examples. The problems at the ends of the chapters are in many
cases quite difficult, however, an the assigned problems have been chosen with
care. The solutions are on file: just ask an instructor if you wish to see
them.

__After completing this unit you should understand:__

- The angular momentum of a particle.
- The angular momentum of a rigid body .
- Torque.
- Central force motion as a one body problem.
- General properties of central force motion, such as the confinement to a plane and energy and angular momentum conservation.
- Planetary motion.
- Kepler's Laws.

__Problems:__

Chapt. 9: Problems 2,5,8,9a,12a.

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