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Q.

Find the radius of gyration for the uniform solid sphere of radius 5 cm about the axis PQ, as shown in the figure

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a

$\sqrt{110} c m$

b

10 cm

c

$\sqrt{90} c m$

d

5 cm

answer is C.

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Detailed Solution

Applying parallel axis – theorem
$M K^{2} = M (\frac{2}{5} R^{2} + d^{2})$
$K^{2} = \frac{2}{5} \times 25 + 100 \Rightarrow K = \sqrt{110} c m$

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