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Particles of masses 1g, 2g, 3g ….100g ar...

Particles of masses 1g, 2g, 3g ….100g are kept at the marks 1cm, 2cm, 3cm …., 100 cm respectively on a metre scale. Find the moment of inertia of the system of particles about a perpendicular bisector of the metre scale.

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`[1xx49^(2)+2xx48^(2)+3xx47^(2)+……49xx1^(2)+52xx2^(2)+…….98xx48^(2)+99xx49^(2)+100xx50^(2)]10^(-7)`
`= 100[50^(2)+49^(2)+48^(2)+…..+1^(2)]xx10^(-7)`
`= 10^(-5)xx(1)/(6)xx50xx51xx101=0.43 kgm^(2)`
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