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Three particles of masses 1gm, 2gm & 3gm are at 1cm, 2cm, & 3cm from the axis of rotation respectively then the moment of inertia of the system & radius of gyration of the system respectively are .......gm cm2 and .. cm

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a

63, 2.449

b

60, 4.5

c

36, 4.449

d

36, 2.449

answer is D.

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Detailed Solution

I=Σmr2=1(1)2+2(2)2+3(3)2and K=IΣm Ans: 36, 2.449
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Three particles of masses 1gm, 2gm & 3gm are at 1cm, 2cm, & 3cm from the axis of rotation respectively then the moment of inertia of the system & radius of gyration of the system respectively are .......gm cm2 and .. cm