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A system of four particles made of 20 g at (4,0), 30 g at (0,6), 25 g at (-4,3) and 40 g at (-3,2) in the xy-plane, rotate about the z-axis through the centre of the coordinate system. The coordinates are given in units of centimetres. Calculate the moment of inertia of the system.
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I calculated this using the formula \[I = \sum_{}^{}Mr ^{2}\]
And got \[2545gcm^{2}\]
Drawing the problem, 25g & 40g lied on the same plane.
Am I on the right path to have summed the whole inertia on all those points?
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