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Download the file simplePendulum from the texts website in one of the system dynamics tools. Figure 3.3.3 of Module 3.3, Tick TockThe Pendulum Clock, shows

Download the file simplePendulum from the texts website in one of the system dynamics tools. Figure 3.3.3 of Module 3.3, Tick TockThe Pendulum Clock, shows a plot of a simple pendulums angle, angular velocity,and angular acceleration versus time that is the result of the simulation with t = 0.01 and Runga-Kutta 4 integration. Run the simulation with t = 0.01 using, in turn, Runga-Kutta 4, Runga-Kutta 2, and Eulers methods or whatever methods are available with your system dynamics tool. Describe any anomalies in the graphs. Repeat the simulations and description for t = 0.1.Discuss the implications of your findings.

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