Two equations are given for a system in static equilibrium F

Two equations are given for a system in static equilibrium (FBD shown), derived using the problem geometry, sum of forces in the y-direction and spring stiffness: 2T sin(oslash) - 40 = 0 T = 50[1/cos(oslash) - 6] Write a short MATLAB code to solve for the tension, T.

Solution

syms T phi
eqn1=2*T*sin(phi)-40==0;
eqn2=T-50*(-6+(1/cos(phi)))==0;
[T phi]=solve([eqn1,eqn2],[T,phi]);
T=double(T(1));
phi=double(phi(1));