(ax + by)² + (cx + dy)² = 1.)
3.5 The equation of motion of a bar restrained by springs (see Fig. 3.30)
Conductor
\(x_0\)
Figure 3.30
the ellipse
and attracted by a parallel current-carrying conductor is
$\ddot{x} + c \{x - \lambda/(a - x)\} = 0$,
where c (the stiffness of the spring), a and ? are positive constants. Sketch the phase paths for $-x_0 < x < a$,
where $x_0$ is the unstretched length of each spring, and find the indices of the equilibrium points for all
$\lambda > 0$.
$\ddot{x} - \delta(1 - x^2 - x_2^2)\dot{x} + x = 0$ has an equilibrium point of index 1 at the origin
