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A uniform rod of length l is suspended f...

A uniform rod of length l is suspended from a point P. and the rod is made to undergo small oxcillations. Match the following

Text Solution

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The correct Answer is:
`(A rarr t, B rarr t, C rarr s)`
`T=2pisqrt((I)/(mgl))`. Here , l is distance of point P from centre of mass.
When P is the centre , l=0. Therefore, `T=oo`, i.e., rod will not oscillate.
When P is end point , `I=(ml^(2))/(3)`
`therefore T=2pisqrt((l)/(3g))impliesT_("rod")=T_("pendulum")`
or `2pisqrt((2l)/(3g))=2pisqrt((L)/(g))`
or `L=(2l)/(3)`
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