Physical System

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Physical System

Let us consider a pendulum and three magnets as shown in figure 27.

**Figure 23:** Pendulum and three magnets
$\begin{figure} \centering \epsfig {file=Pics/pendulum.eps,width=12cm,angle=0} \end{figure}$

In order to describe the movement of the pendulum we have to specify the forces acting on the ball:

Gravitational force
Magnetic forces
Frictional force
Constraint force (the ball is only allowed to move on a sphere)

I will not derive the mathematical model to describe the movement even though it is not very difficult. The result would be an differential algebraic equation (DAE).

Tino Kluge
2000-12-05