Table of Contents
Galileo & Kepler to Newton Universal Laws of Classical Mechanics
Today
Vectors: Magnitude and Direction
Vectors: Velocity, Acceleration, Momentum
Development of Classical Physics
Isaac Newton (1642 - 1727)
“In the beginning of the year 1665, I found the method of approximating series and the Rule for reducing any dignity of any Binomial into such a series. The same year in … November had the direct method of Fluxions, and in January had the Theory of Colours, and in May following I had entrance into the inverse method of Fluxions. And the same year I began to think of the orb of the Moon … from Kepler’s Rule of the periodical times of the Planets … I deduced the forces which keep the Planets in their orbs must be reciprocally as the squares of their distances from the centres about which they revolve … All this was in the two plague years of 1665 and 1666, for in those days I was in the prime of my age for invention, and minded Mathematics and Philosophy more than any time since.”
Isaac Newton (1642 - 1727) continued
Calculus – Newton vs. Leibnitz
Newton’s Three Laws
Newton’s First Law
First Law Demo
First Law Demo
Exercise
Exercise - Solution
What about pouring coffee?
Newton’s Second Law
Mass
Force
Force is a Vector
Second Law Demo
Newton’s Third Law
Demonstration: Newton’s Third Law: Action/Reaction
Exercise: Action/Reaction
Exercise: Action/Reaction solution
Summary – to this point
Curved Motion & Circular Motion
Force is required to change the Magnitude or Direction of Velocity
Force is required to change the Direction of Velocity
Acceleration & Circular Motion
Acceleration & Circular Motion
Circular Motion
Newton’s theory of gravity
Kepler’s Third Law Provides a Key
Toward a Universal Theory of Gravitation
Universal Law of Gravitation
Newton Has Said More than Kepler!
Exercise: Kepler’s Laws
The Apple and the Moon I
The Apple and the Moon II
Effects of gravity
Gravity is a VERY Tiny force
Additional Comments
Summary
Next Time
Extra - Position, Velocity, Acceleration are Vectors
Extra - Addition of Vectors
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Author: R. M. Martin
Email: rmartin@uiuc.edu
Home Page: http://online.physics.uiuc.edu/courses/phys150/fall03/index.html
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