About the error message Indeterminate
- To: mathgroup at smc.vnet.net
- Subject: [mg91354] About the error message Indeterminate
- From: MarvelousTau <nightvista at gmail.com>
- Date: Sun, 17 Aug 2008 06:40:42 -0400 (EDT)
I think you all might have been check the example the bouncer in the entry Dynamic. But it is on a flat ground. So I want to make some change to let it bounce on hills, which formed by Sine function. The collisional consummation and reflection angle have been taken considered, but when the point touches the ground, it doesn't move any longer and the velocity shows indeterminate. I know indeterminate means such an issue like 0/0, but I replace my reflecting function with the colliding position and get a certain answer. I don't know if is there any other issues will cause indeterminate. Anyway, check the code first. function[x_] := Sin[x] + 0.5 Sin[6 x]; Reflection[{{x_, y_}, {vx_, vy_}}] := {{x, y}, 0.8 Sqrt[vx^2 + vy^2] {Cos[2 ArcTan[function'[x]] - ArcTan[vy/vx]], Sin[2 ArcTan[function'[x]] - ArcTan[vy/vx]]}} (* where function[] means the ground and Reflection[] shows how the ball bounces up, where x, y means position and vx, vy means velocity. 0.8 Is the consummation of collision, Sqrt is the norm of speed and the latter stuff is the new velocity in x and y direction. *) PointSet = {{4, 6}, {0, -0.01}}; Plot[function[x], {x, -5, 5}, Axes -> None, Filling -> Bottom, PlotRange -> {{-5, 5}, {-2, 8}}, AspectRatio -> 1, Epilog -> Point[Dynamic[ PointSet = If[PointSet[[1, 2]] >= function[PointSet[[1, 1]]], {PointSet[[1]] + PointSet[[2]], PointSet[[2]] + {0, -0.001}}, Reflection[PointSet]]; PointSet[[1]]]]] Dynamic[PointSet] (*I used Epilog to draw the point. I didn't use Mouseclick because it will cause a dump*) I'll keep waiting here and thanks in advance. Tao Yue