A metallic circular plate is rotating about its axis without friction. If the radius of plate expands by 0.1% then the % change in its moment of inertia is
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I = MR^2 / 2
dI = MR dR
dR = 0.001R
dI = 0.001 MR^2 = 0.1 × 2I
dI / I = 0.002 or 0.2 %.
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