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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