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Q.

Three thin rods each of length 'L' and mass M are placed along X, Y and Z axis such that one end of each rod is at origin. The radius of gyration of this system about Z–axis is

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a

2 3L

b

4 L3

c

23  L

d

2 L3

answer is A.

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Detailed Solution

M.I about Z axisml23+ml23=mK22ml23=3mK2k=23l
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Three thin rods each of length 'L' and mass M are placed along X, Y and Z axis such that one end of each rod is at origin. The radius of gyration of this system about Z–axis is