Derive the equations of motion that govern the movement of a Spring Pendulum utilizing both 1)…

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The pendulum below is made up of a mass m that is suspended by a spring of stiffness k. The spring has a free length of l. All units are in S.I.. Assignment:

Derive the equations of motion that govern the movement of a Spring Pendulum utilizing both 1) Newton-Euler Method 2) Langrangian Method. After you have obtained the equations of motion (two second-order, differential equations), utilize numerical methods to solve the equations for the following initial conditions and system parameters. Final submission should include relevant computer code and plots to demonstrate the motion of the system. | m = 10 kg k = 7 N.m 1 = 3 m x=3 m * = 2 m/s A = 0.2 rad A = 0.1 rad/s osts 105

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