Friday, November 23, 2012

Vector field

This applet allows easy visualization of a two dimensional vector field. The equations for both components can be edited. The length of the plotted vectors can also be changed in order to visualize them more neatly.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Vector addition

This applet demonstrates the addition of vectors using the parallelogram rule. The vectors can be edited by dragging the blue dots.


This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Saturday, November 17, 2012

Relativistic constantly accelerated motion

This applet plots the velocity of a uniformly accelerated body, as seen from an inertial frame of reference. The local acceleration, that is, the acceleration perceived by the travellers, can be edited with the control bar.

As can easily be seen, the velocity approaches asintotically to the speed of light. That is, the acceleration appears to cease as seen from the inertial frame, but its still constant in the moving one.

The time appears to run slower in the moving frame as seen from the inertial one.

Also, the classical results for the same problem can be plotted in order to compare the differences.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com