A metre stick swinging in a vertical plane about a fixed horizontal axis passing through its one end undergoes small oscillation of frequency $f_{0}$ . If the bottom half of the stick is cut off, then its new frequency of small oscillation would become :

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f 0 = 1 2 π mgl I where l is the distance between the point of suspension and centre of mass of the body. f 0 = 1 2 π m.g. L 2 mL 2 / 3 = 1 2 π 3 g 2 L when the bottom half of the stick is cut off f 0 ' = 1 2 π m 2 . g. L 4 m 2 L / 2 2 3 = 1 2 π × 3 g L = 2 f 0

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