Difference between revisions of "Forest UCM NLM"

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===Cartesian===
 
===Cartesian===
<math>\vec{r} = x \hat{i} + y \hat{j} + z \hat{k}</math>
+
<math>\vec{r} = x \hat{i} + y \hat{j} + z \hat{k} = (x,y,z) = \sum_1^3 r_i \hat{e}_i</math>
 
 
  
 
===Spherical===
 
===Spherical===

Revision as of 22:58, 19 May 2014


Newton's Laws of Motion

Limits of Classical Mechanic

Classical Mechanics is the formulations of physics developed by Newton (1642-1727), Lagrange(1736-1813), and Hamilton(1805-1865).

It may be used to describe the motion of objects which are not moving at high speeds (0.1 $c$) nor are microscopically small ( 10^{-9} m).

The laws are formulated in terms of space, time, mass, and force:

Space and Time

Space

Cartesian, Spherical, and Cylindrical coordinate systems are commonly used to describe three-dimensional space.

Cartesian

[math]\vec{r} = x \hat{i} + y \hat{j} + z \hat{k} = (x,y,z) = \sum_1^3 r_i \hat{e}_i[/math]

Spherical

Cylindrical

Vectors

Scaler ( Dot ) product

Vector ( Cross ) product

Forest_Ugrad_ClassicalMechanics