1. Physical Modeling, Fall 2006 1 NEWTON'S LAWS OF MOTION There are three of them.

2. Physical Modeling, Fall 2006 2 Newton’s First Law Consider a body on which no net force acts. If the body is at rest, it will remain at rest. If the body is moving with constant velocity, it will continue to do so.

3. Physical Modeling, Fall 2006 3 Newton’s Second Law

4. Physical Modeling, Fall 2006 4 Newton’s Third Law To every action there is an equal and opposite reaction. When two bodies exert mutual forces on one another, the two forces are always equal in magnitude and opposite in direction. The forces are on different bodies.

5. Physical Modeling, Fall 2006 5 SIMPLE HARMONIC MOTION

6. Physical Modeling, Fall 2006 6 SIMPLE HARMONIC MOTION

7. Physical Modeling, Fall 2006 7 DEFINITIONS AAmplitude  t +  Phase (radians)  Phase Constant (radians)  Angular Frequency (rad/s) TPeriod (s) fFrequency (Hz)

8. Physical Modeling, Fall 2006 8 ENERGY IN SHM

9. Physical Modeling, Fall 2006 9 ENERGY IN SHM

10. Physical Modeling, Fall 2006 10 Euler’s Method