For the system of Figure 2.74 with spring stiffness (k), bar mass (M) and length (l), and

Question:

For the system of Figure 2.74 with spring stiffness $k$, bar mass $M$ and length $l$, and end mass $m$, derive the equation of motion for small oscillations about the horizontal equilibrium position assuming the support pin is frictionless. Based on the equation of motion, determine the effective mass and effective stiffness of the system.

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