SimReal: Physics - Cycloid UiA Logo


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Cycloide

This application shows a rolling wheel
that is rolling without slipping on a horizontal ground.
We can study the velocity and/or the acceleration
of a point on the periphery, inside or outside the wheel.

Click the pushbutton 'Run' to start the simulation.
Click the pushbuttontton 'Stop' (or 'Run' again) to stop the simulation.
Click the pushbutton 'Bwd' or 'Fwd' to step the simulation
1/100 second backward or forward.
Click the pushbotton 'Reset' (the small one) to reset back to time t = 0.

Use the checkboxes and/or scrollbars to see different information and/or
change different conditions in the simulation.
Control objects:

Wheel        : Show the rolling wheel 
Formula      : Show the formula
Point        : Show the point P on the wheel
Path         : Show the path of the point P on the wheel
RollS        : Show the rolling distance
RollC        : Show the rolling arc

v            : Show the velocity vector of the point P
vxy          : Show the xy-components of the velocity vector
a            : Show the acceleration vector of the point P
axy          : Show the xy-components of the acceleration vector
Txt          : Show text information in the simulation 

Reset        : Reset (large pushbutton) back to initial (default) values
Reset        : Reset (small pushbutton) back to initial (default) time

a0           : Change/Reset the acceleration of the wheel
Point Radius : Change/Reset the point radius
Wheel Radius : Change/Reset the wheel radius
Wheel Roll   : Roll the wheel (or use the start button 'Run')
Reset        : Reset the associated properties of the simulation


Here we have a Tautochrone curve (cycloid).
Objects dropped at the same time from different positions
will reach the bottom at the same time.

Here we have a Tautochrone curve (cycloid).
The pendulum will have the same period independent of the amplitude.

Here we have a Tautochrone curve (cycloid) compared to other curves.

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