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for i= 1:90
theta= i*pi/180;
minimum_potential_energy= @(x_C) 0.5*(x_C)*9.81*sin(theta)+(1/2*1000)*(0.5 - sqrt(0.5^2+(0.5-x_C)^2))^2;
[C,fx,ea,iter]=goldmin(minimum_potential_energy,0,5,0.00001,50);
x_C(i)=C;
end
theta= 1:90; %define theta array
plot(theta,x_C,'.b')
xlabel 'theta'
ylabel 'X_C'
title('Steady-state position of collar on rod at angle theta')