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close all clc% Constantesm = 2.6*0.001; % Massa convertida de gramas a - Pastebin.com
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- clc
- % Constantes
- m = 2.6*0.001; % Massa convertida de gramas a Kg
- L = 1.0; % Comprimento do fio em metros
- R = 30*0.01; % Raio 30 cm convertido para metros
- p = 1.28 % densidade do ar em kg/m^3
- g = 9.81; % Aceleração da gravidade em m/s^2
- A = pi * R^2;
- % Calcula o coeficiente de arrasto aerodinâmico
- b = 1/2 * p * cd *A;
- % Valores iniciais
- theta0 = 0.05; % Ângulo inicial em rad
- w0 = 0.0; % Velocidade angular inicial em rad/s
- t0 = 0.0; % Tempo inicial em s
- h = 0.1; % Passo de tempo em s
- % Vetores para armazenar os resultados
- t = t0;
- theta = theta0;
- w = w0;
- % Loop de tempo
- while (t0 < 100.0)
- % Cálculo dos valores intermediários
- k1x = w0;
- k1v = (-sign(w0) * (b*L)/m * (w0)^2 - (g / L) * theta0);
- k2x = w0 + k1v*h;
- k2v = -sign(w0 + k1v*h) * (((b*L)/m) * (w0 + k1v*h)**2) - (g/L) * (theta0 + k1x*h);
- % Atualização dos valores de θ e w
- theta0 = theta0 + ((k1x + k2x) / 2.0)*h;
- w0 = w0 + ((k1v + k2v) / 2.0)*h;
- % Atualização do tempo
- t0 = t0 + h;
- % Adiciona os resultados aos vetores
- t = [t t0];
- theta = [theta theta0];
- w = [w w0];
- end
- % Cria o gráfico com plot
- plot(t, theta, 'r', t, w, 'b')
- % Adiciona legendas
- legend('Theta', 'w')
- % Adiciona títulos aos eixos
- xlabel('tempo (s)');
- ylabel('Theta (rad), w (rad/s)');
- % mostra o gráfico
- hold off;
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