Thin rectangular plate can oscillate about a horizontal

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Thin rectangular plate can oscillate about a horizontal axis lying in its plane and perpendicular to the one side, the length of which is equal to l. What is the period of oscillation, if the axis coincides with the upper side of the plate? At what distance from the axis of the upper side of the plate oscillation period is the smallest? What this time?

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Task 40922. Detailed solution with a short recording conditions, laws and formulas used in the decision, the withdrawal of the calculation formula and the answer.
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