1.

An L-shaped body having two parts of mass 1/3 kg and 2/3 kg and length 6m each rotates about an axis passing through the centre of mass and perpendicular to its plane. Find the moment of inertia of the body (in kg//m^(2)) about this axis.

Answer»


SOLUTION :`x_(C)=(2/3xx3+0xx3)/1=2`
`y_(C)=(1/3xx3+0xx2)/1=1`
`I_(C)+1xx(X_(C)^(2)+y_(C)^(2))=(1xx6^(2))/(3xx3) +(2XX2)/(3xx3)`
`I_(C)+1(1^(2)+2^(2))=4+8`
`I_(C)+5=12`
`I_(C)=7 KG m^(2)`


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