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Q.

Find the radius of gyration of a rod of mass m and length 2l about an axis passing through one of its ends and perpendicular to its length.

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a

(1) $\frac{2}{\sqrt{3}} l$

b

(3) $\frac{1}{\sqrt{3}} l$

c

(2) $\frac{3}{\sqrt{2}} l$

d

(4) $\frac{2}{\sqrt{7}} l$

answer is A.

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Detailed Solution

$K = \sqrt{\frac{l}{m}} = \sqrt{\frac{m (2 I)^{2} / 3}{m}} = \frac{2}{\sqrt{3}} l$

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