User Guide

Page 7-19

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Program or value Store into variable:

<< PEQ STEQ MINIT NAME LIST MITM MSOLVR >> SOLVEP

"vel. & acc. polar coord." NAME

{ r rD rDD θD θDD vr vθ v ar aθ a } LIST

{ 'vr = rD' 'vθ = r*θD' 'v = √(vr^2 + vθ^2)'

'ar = rDD − r*θD^2' 'aθ = r*θDD + 2*rD*θD'

'a = √(ar^2 + aθ^2)' } PEQ

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An explanation of the variables follows:

SOLVEP = a program that triggers the multiple equation solver for the

particular set of equations stored in variable PEQ;

NAME = a variable storing the name of the multiple equation solver, namely,

"vel. & acc. polar coord.";

LIST = a list of the variable used in the calculations, placed in the order

we want them to show up in the multiple equation solver

environment;

PEQ = list of equations to be solved, corresponding to the radial and

transverse components of velocity (vr, vθ) and acceleration (ar,

a) in polar coordinates, as well as equations to calculate the

magnitude of the velocity (v) and the acceleration (a) when the

polar components are known.

r, rD, rDD = r (radial coordinate), r-dot (first derivative of r), r-double dot

(second derivative of r).

θD, θDD = θ-dot (first derivative of θ), θ-double dot (second derivative of θ).

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Suppose you are given the following information: r = 2.5, rD = 0.5, rDD = -

1.5, θD = 2.3, θDD = -6.5, and you are asked to find vr, vθ, ar, aθ, v, and a.