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A uniform plank of mass 2.53 kg and length 21.5 cm is pivoted at one end....

A uniform plank of mass 2.53 kg and length 21.5 cm is pivoted at one end. A spring of force constant 403 N/m is attached to the center of the plank, as shown in the figure. The height of the pivot has been adjusted so that the plank will be in equilibrium when it is horizontally oriented.

Find the period of small oscillation about the equilibrium point. Answer in units of s.

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