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lizzyb

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A uniform plank of mass m is pivoted at one end. A spring of force constant k 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.

[tex]I_{CM rod} = \frac{1}{12}mL^2[/tex]

Find the period of small oscillation about

the equilibrium point.

Comments:

How do I relate [tex]T = 2 \pi \sqrt{\frac{I}{mgh}}[/tex] to a spring constant? The answers to choose from look like: [tex]T = 2 \pi \sqrt{\frac{m}{k}}[/tex]

thank you.