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On a metre scale having reading 1cm,2cm,3cm..., masses of 1g,2g,3g,... are kept respectively
if an axis passes through the mid then wat is the moment of inertia of this body
I = mr2
particles are placed at 1,2,3........& so on
I1 = m1r12 , I2 = m2r22 & so on ........
I = I1 + I2 + I3 ............... n
I = 10-7[(1)(1)2 + 2(2)2 + (3)(32) ...................n] ( putting m in grams & r in m)
I = 10-7[13 + 23 + 33 ..........n]
I = [n(n+1)/2 ]2 *10-7 kg-m2
here n is the number of particles ....
this will form a series of 100(1 +2^2 +3^2 +.................50^2) soling wil give 0.8585 kg-m^2
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