Question

The Figure shows a container of weight W suspended from ring C to which cable CB of length 6 m and spring AC are attached. A Write a MATLAB program to determine the tension in the cable when W-150 N. Given: The spring constant as 120 N/m, and its unstreched length as 4 m. 7m Spring 6m C Ring

MATLAB CODE PLEASE!!!

Answer 1

7 7-X T1 7 T2
$\small T_1cos\alpha+T_2cos\theta = W$

$\small T_1sin\alpha-T_2sin\theta = 0$

$\small cos\theta = \frac{h}{l}$

6 cosa =

Matlab Code:

clear;clc;
l = 4:0.05:9;% assuming a spring deflection and sloving for forces
a = 7;b = 6;
s = (l+b+a)./2;
area = sqrt(s.*(s-l).*(s-b).*(s-a));
h = area*(2/7);% height of the triangle
theta= acos(h./l);
alpha = acos(h/6);
syms T1 T2;

for i = 1:length(l)
e1 = T1*cos(alpha(i))+T2*cos(theta(i))-150;% equations to solve
e2 = T1*sin(alpha(i))-T2*sin(theta(i));

A(i) = solve(e1,e2);
T2b(i) = vpa(A(i).T2);
end

%spring force from deflection
T2a = 150*(l-4);

error = abs(T2a-T2b);
[p, v] = min(error);
disp('tension in string is:');
disp(vpa(A(v).T1))