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Grade 11Mechanics

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

Profile image of chirrag nangia
15 Years agoGrade 11
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2 Answers

Profile image of vikas askiitian expert
15 Years ago

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 ....

Profile image of Jitender  Singh
15 Years ago

this will form a series of 100(1 +2^2 +3^2 +.................50^2) soling wil give 0.8585 kg-m^2