Solve the frictionless pendulum equation use Runge- kuta 4 or forward Euler ly'' = -g*sin(y) where g is...

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Solve the frictionless pendulum equation use Runge- kuta 4 orforward Euler
ly'' = -g*sin(y)
where g is gravitational acceleration and l is the length of thependulum. The function y(t) represents the angle of the pendulumwith respect to the vertial and y'(t0 the angular velocity. Youwill need to write the second-order equation as a system of twofirst-order equations, and you will need to write a function filethat will evaluate this system of equations. Plot the solutionsy1(t) and y2(t) on the same set of axes. Give an interpretation ofy2(t). Set the length to be 1m, and use as initial conditions aninitial displacement of pi/2 radians and a 0 rad/sec angularvelocity

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4.2 Ratings (823 Votes)

The Matlab scripts rk4sysmdydtSysm rk4SysSolverm areposted below along with the screen shot of the generated plot Runthe script rk4SysSolverm to generate theplotAlso note that the system of first order differential equationsare solved using Runge Kutta 4 numerical See Answer

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