% exam 2
% problem 8

clear all; clc; close all

syms x

y = x^2/8 ;

W = 10 ;    % lb
vO = 5 ;   % ft/s
g = 32.2; % ft/s^2

m = W/g

% W h = m vO^2/2 =>
h = (m*vO^2/2)/W

dy  = diff( y, x);
d2y = diff(dy, x);

rox = ((1+dy^2)^(3/2))/d2y;

roO = subs(rox, x, 0)

% Fn=m*an=N-W
% an = v^2/ro

an = vO^2/roO

N = m*an+W


% m = 0.3106
% h = 0.3882
%
%
% roO = 4
% an = 6.250
% N = 11.941

m =

   0.310559006211180


h =

   0.388198757763975


roO =

     4


an =

   6.250000000000000


N =

  11.940993788819876

Published with MATLAB® 7.4