Explanation Concept used: The equations of motion are, y ″ = − d y ′ − [ K m ( y − l sin θ ) + K m ( y + l sin θ ) ] θ ″ = − d θ ′ + 3 cos θ l [ K m ( y − l sin θ ) + K m ( y + l sin θ ) ] The MATLAB code is as follows. functionmagFac = tacoma3(inter,ic,h,p) a = inter(1); b = inter(2); n = ceil((b-a)/(h*p)); % plot n points y(1,:)=ic; % enter initial conds in y t(1)=a; y_of_t=[]; for k=1:n fori=1:p t(i+1) = t(i)+h; y(i+1,:) = rk4step(t(i),y(i,:),h); end time(k)=t(p+1); y(1,:) = y(p+1,:);t(1)=t(p+1); y_of_t = [y_of_t; y(1,1),y(1,3)]; end magFac = max(abs(y_of_t(:,2)))/ic(1,3) %magFac function y=rk4step(t,w,h) %one step of the Runge-Kutta order 4 method s1=ydot(t,w); s2=ydot(t+h/2,w+h*s1/2); s3=ydot(t+h/2,w+h*s2/2); s4=ydot(t+h,w+h*s3); y=w+h*(s1+2*s2+2*s3+s4)/6; functionydot=ydot(t,y) len=6; a=0

3rd Edition

ISBN: 9780134696454

Author: Sauer, Tim

Publisher: Pearson,

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Chapter 6.4, Problem 6SA

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To find: Whether the all extremely small initial angles eventually grow to catastrophic size or not.

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Whether the all extremely small initial angles eventually grow to catastrophic size or not.

Solution Summary: The author explains that the all extremely small initial angles eventually does not grow to catastrophic size.

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To find: Whether the all extremely small initial angles eventually grow to catastrophic size or not.

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