Question

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

Moderate

Solution

$I = {Σmr}^{2} = 1 (1)^{2} + 2 (2)^{2} + 3 (3)^{2}$
and $K = \sqrt{\frac{I}{Σm}}$ Ans: 36, 2.449

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