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roots_and_optimization/collar_potential_energy.asv

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function [ PE ] = collar_potential_energy( x ) %designated PE function for collar
theta = 0.9; %theta value
PE_g = (0.5)*x*(-9.8)*sin(theta); %potential energy due to gravity
PE_s = (0.5)*30*((0.5)-sqrt((0.5)^2+((0.5)-x)^2))^2; %potential energy due to spring
PE = PE_g + PE_s; %total potential
end