Q.

A uniform rod of length l is suspended from any point P. It is then made to undergo small oscillations. If P is the

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a

centre of mass, T is zero

b

end point, T is 2πl3g

c

centre of mass, T=2πlg

d

end point, T is infinite

answer is B.

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Detailed Solution

T=2πImgl. Here, l s distance of point P from centre of mass.When P is the centre, l = 0. Therefore, T = ∞, i.e. rod will not oscillate.When P is end point, I=ml23∴                               T=2πml23mgl=2πl3g
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