1.

The moment of inertia of a thin uniform rod of mass `M` and length `L` about an axis passing through its mid-point and perpendicular to its length is`I_0`. Its moment of inertia about an axis passing through one of its ends perpendicular to its length is.A. `I_0 + ML^2//4`B. `I_0 + 2 ML^2`C. `I_0 + ML^2`D. `I_0 + ML^2//2`

Answer» Correct Answer - A
(a) The theorem of parallel axis for moment of inertia
`I = i_(CM) + Mh^2`
`I = I_0 + M((L)/(2))^2`
=`I_0 + (ML^2)/(4)`.


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