Question

A light thin uniform rod of length 2 m has two bodies stuck to its ends.the mass of each bodies is 100g .find the moment of inertia of the system of about transverse axis passing through the centre of mass of rod and one end of the rod

Answer 1

let m be the mass of rod

100+100+ml2/12

100+100+m4/12 =m/3 (as, length= 2)

I1=200+m/3

I2 =100(2)2+100(0)2+ml2/3

=400+m(4)/3

=4m/3+400