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roots_and_optimization/collar_potential_energy.m

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function [ PE_tot ] = collar_potential_energy( x_C, theta )
% Computes total Potential energy of the collar system given
% an initial x_C and theta
m = 0.5; % mass in kg
g = 9.81; % acceleration due to gravity m/s^2
K = 30; %spring constant N/m
PE_g = m*x_C*g*sin(theta);
PE_s = .5*K *((0.5 - sqrt(0.5^2+(0.5-x_C)^2)))^2;
PE_tot = PE_g + PE_s;
end