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A metre stick swinging in vertical plane about a fixed horizontal axis passing through its one end undergoes small oscillation of frequency f0. If the bottom half of the stick were cut off, then its new frequency of small oscillation would become

a
f0
b
2f0
c
2f0
d
22f0

detailed solution

Correct option is B

f0=12πmglIwhere l is the distance between point of suspension and centre of mass of the body. Thus, for the stick of length L and mass m,f0=12πmgL4m2(L/2)212=12π12gL=2f0

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A uniform stick of mass M and length L is pivoted at its centre. Its ends are tied to two springs each of force constant K. In the position shown in figure, the strings are in their natural length. When the string is displaced through a small angle θ and released. The stick:


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