Repeat Problem 6, using Lagrange's equations. Consider the mechanical system shown in Figure 5.93. The inputs are

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Repeat Problem 6, using Lagrange's equations.

Consider the mechanical system shown in Figure 5.93. The inputs are the force \(f_{1}\) applied to the cart and the force \(f_{2}\) applied at the tip of the rod. The outputs are the displacement \(x\) of the cart and the angular displacement \(\theta\) of the pendulum.

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