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Linear data fitting 0 solutions submitted (max: Unlimited) As a preliminary inve

ID: 3720391 • Letter: L

Question

Linear data fitting 0 solutions submitted (max: Unlimited) As a preliminary investigation for the release of a top-secret project, your company has asked you to determine the spring constants for a collection of reference springs. Fortunately, the measurements have already been carried out and you have only to interpret them. Recall that spring displacement is governed by Hooke's law where x is the observed displacement and F is the corresponding required force. Since it is experimentally easier to use mass instead of displacement, the data sets instead specify mass, related by F- m/1000 g where m is mass in grams and g is acceleration due to gravity. Thus the spring constant k may be determined from the experimental data as the slope of the line fitting displacement and force data. The data are recorded in the format [ mx]: that is, the mass in the first column and the displacement observed in the second. S 15.5 10 33.07 20 53.39 50 148.24 100 301.03 Compose a function-fit-spring, which accepts an array of data in this format and returns the corresponding spring constant k. Use g=9.81 Your Function C Reset MATLAB Documentation 1function [k]- fit spring( x) 21 m [5 1e 20 50 100); % mass data (g) 31 x . [15.5 33.07 53. 39 140 .24 301.03); %displacement data(mm) ref-array# [ n' x' ]; 5 9.81; kF./x 8 end Code to call your function C Reset 1 [k] fit_spring(x)

Explanation / Answer

PLEASE REFER BELOW CODE

close all
clear all
clc

%calling dunction should be like this.Before using any array we should know name and values in it
x = [15.5 33.07 53.39 140.24 301.03];
[k] = fit_spring(x)


function [k] = fit_spring(x)
m = [5 10 20 50 100];
ref_array = [m' x'];
g = 9.81;
F = (m./1000) .* g;
k = -F ./x;
end

PLEASE REFER BELOW OUTPUT


k =

-0.0032 -0.0030 -0.0037 -0.0035 -0.0033

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