A simplified version of a pendulum used in impact tests is shown in the figure. Derive the

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A simplified version of a pendulum used in impact tests is shown in the figure. Derive the equation of motion and determine the period for small oscillations about the pivot. The mass center \(G\) is located a distance \(\bar{r}=0.9 \mathrm{~m}\) from \(O\), and the radius of gyration about \(O\) is \(k_{O}=\) \(0.95 \mathrm{~m}\). The friction of the bearing is negligible.

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