###### Descriptions and Examples for the POV-Ray Raytracerby Friedrich A. Lohmüller     3D Animations with POV-Ray         Some basics and examples on animations.
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3D Animation Tutorial
Index of Content
0. Basic Knowledge
1. Basic Example
2. Example 2
3. Images to Animated Gif
4. From Images to Video
5. Basic Terms
6. Animation Commands
I. Cyclic Animations
1. Rotating Objects
1.2. Planets in Orbit
1.3. Clock Animation
2. Rotating Camera
2.1. Straight Moving Camera
3. Western Wheel
Problem
3.1. Rolling Wheels
4. Gears
4.1. Roller Chain
4.2. Bike Chain
> 5. Swinging Pendulum
5.1. Newton's Cradle
5.2: Rock the Rocker
6. Spiral Pendulum
7. Coupling Rods
7.1. Connecting Rods
8. Psychedelic + Op-Art
9. Counters + Countdowns
10. Folding of a Cube
II. Non-linear Movements
1.0 Speed Up/Slow Down 1
1.1 Speed Up/Slow Down 2
2. Fall + Bounce
3. Acceleration by
physical Formulas
4. Speed Controll by
Spline Functions
III. Animation Paths
with Spline Curves
1. Spline Curves
2. Closed Splines
3. Animation Paths

# Swinging Pendulum

##### About oscillations in sine rythm.

Swinging Pendulum:
For a cyclic animation we need only to calculate the images of one single oscillation!
The maximal angle of deflection multiplied by sin(clock*2*pi) leads to the actual angle of deflection at the time "clock" (Note: The sine function in POV-Ray needs the angle in radians values (2*pi = 360 degrees)!):
 ```#declare Amplitude = 40; object { Pendula rotate <0,0,Amplitude*sin( clock*2*pi)> translate<0,2.15,0> } //---------------------------- end ```

##### scene description for POV-Ray: "pendula1.ini" and "pendula1.pov"

Swinging Door
Another example for swinging in sine rythm:

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© Friedrich A. Lohmüller, 2010
http://www.f-lohmueller.de