The
graphing window at upper right displays solutions of the differential
equation mx" + bx' + kx = A cos(ωt) or its associated homogeneous
equation.
Three buttons at lower right toggle display of the steady state solution
(in green), the solution with given initial condition (in yellow), and
the corresponding transient (in cyan). Rolling the cursor over that
window creates crosshairs and a readout of t and x.
The time value is set using a slider under the window. The [>>] key starts an
animation. The [<<] key resets t to t = 0 . Rolling the cursor over this
window creates crosshairs and a readout of the values of t and x.
Sliders
control the value of the parameters m, b, k, A, and ω.
At
the upper left is a window displaying velocity and position. Its value
at t = 0 is controlled by dragging the yellow diamond or by grabbing
the sliders along the edges of the window.
The
phase plane trajectory is toggled by the [Show trajectory] button, and
a line connecting the two graphs is toggled by the [Relate diagrams]
button.
A slider at upper right controls a zoom feature in x and x' and the
maximal displayed values of x and x' is read out to the right of the slider.
©
2001 H. Hohn