Um p\303\252ndulo inverso tem uma massa de 4 kg e um momento de in\303\251rcia de massa 0.02 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEja2dGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RJyZzZG90O0YnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTi1JJW1zdXBHRiQ2JS1GLDYmUSJtRidGL0YyRjUtRiM2Ji1JI21uR0YkNiVRIjJGJ0YyRjxGL0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGMkY8sobre o eixo de rota\303\247\303\243o como mostrado.
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 dist\303\242ncia entre o centro de massa e o eixo de rota\303\247\303\243o \303\251 de 0,12 m. A rigidez da mola rotacional \303\251 6.4 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. Determinar
a) o per\303\255odo de vibra\303\247\303\243o natural de oscila\303\247\303\243o de pequena amplitude sobre uma das posi\303\247\303\265es de equil\303\255brio est\303\241vel
b) a resposta do p\303\252ndulo quando ele \303\251 colocado em movimento a partir da referida posi\303\247\303\243o de equil\303\255brio com uma velocidade angular de 1.2 rad/s (CCW).restart:plotStyle := axes = boxed, gridlines = true, size = [500, 300], labeldirections = [horizontal, vertical]:params := [M = 4, J = 0.02, l = 0.12, k = 6.4,g = 9.81]Energia cin\303\251tica \303\251T:=1/2*J*diff(theta(t),t)^2Energia potencial el\303\241stica \303\251V1 := 1/2 * k * theta(t)^2Assumindo o ponto de articula\303\247\303\243o como dado de medi\303\247\303\243o, a energia potencial gravitacional \303\251V2 := M*g*l*cos(theta(t))Formando a LagrangianaL := T - (V1 + V2)Derivando as equa\303\247\303\265es de Euler Lagrange para o funcional L = T - 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soln:=VariationalCalculus:-EulerLagrange(L,t, theta(t)):eq:= simplify(-soln[1] = 0)Onde est\303\241 a posi\303\247\303\243o de equil\303\255brioEql:=subs(diff(theta(t),t$2) = 0,eq)Eql:=subs(theta(t) = theta__0,Eql)Nota: uma vez que k >Mgl neste caso, a \303\272nica solu\303\247\303\243o para esta equa\303\247\303\243o \303\251 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Gr\303\241fico mostrado abaixo.p1:=plot(subs(params, k*theta__0),theta__0 = -Pi..Pi,color = red, plotStyle):p2:=plot(subs(params, M*g*l*sin(theta__0)),theta__0 = -Pi..Pi,color =blue, plotStyle):plots:-display([p1,p2])Frequ\303\252ncia natural - aproxima\303\247\303\243o de pequeno \303\242nguloGovEq:=subs(sin(theta(t)) = theta(t),eq)Solu\303\247\303\243o de testetheta__trial:=A*exp(I*omega*t)simplify(subs(theta(t) = theta__trial,GovEq))CharEq:=J__p*omega^2 + M*g*l - k = 0Resolver que obtemos frequ\303\252ncia natural \303\251 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omega__n := sqrt((k - Mgl)/J__p)
A solu\303\247\303\243o geral \303\251 (em termos de frequ\303\252ncia natural LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiM5Mzc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJ0YyRjQ=alpha := A__1*exp(I*Omega*t) + A__2*exp(-I*Omega*t)A posi\303\247\303\243o inicial \303\251 o ponto de partidaeqA:=subs(t = 0, alpha) = 0A velocidade inicial \303\251 dada como 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1.2eqB:=simplify(subs(t = 0, diff(alpha,t)) = omega__0)Solucionando para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnLUYvNiNRIUYnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGNUZB e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGNUZBsoln:=solve({eqA,eqB},{A__1,A__2})Substituindo as express\303\265es de frequ\303\252ncia natural e os coeficientes para a solu\303\247\303\243o geralsimplify(subs(Omega = omega__n,subs(soln,alpha)))