% Three Bungee Jumpers - WorkshopEx01.m
%
% This program reflects what would be typed in
% when solving the bungee jumper problem using
% MATLAB as a calculator

clear
clc
% Set up the parameters of the Bungee Jumper problem
echo on
% The weights for Alex, Barry, and Carol (in pounds)
wA = 225;
wB = 160;
wC = 105;

% The lengths of the bungee cords
L1 = 15;
L2 = 15;
L3 = 15;

% The bungee cord spring constants
c1 = 75;
c2 = 30;
c3 = 30;

% Set up and solve the static equilibrium problem
% based on the three linear equations.  
% First, calculate the elongations of each chord.
e1 = (wA + wB + wC)/c1
e2 = (wB + wC) /c2
e3 = wC / c3

% Second, calculate the positions
zA = L1 + e1
zB = zA + L2 + e2
zC = zB + L3 + e3

echo off