Question

# The moment of inertia of a straight thin rod of mass $$M$$ , length $$L$$ about an axis perpendicular to its length and passing through its one end is :

Solution

## The moment of inertia by using parallel axis theorem, is given as, $$I = \dfrac{{M{L^2}}}{{12}} + M{\left( {L/2} \right)^2}$$ $$I = \dfrac{{M{L^2}}}{3}$$ Thus, the moment of inertia of the rod about an axis perpendicular to its length and passing through its one end is $$\dfrac{{M{L^2}}}{3}$$.Physics

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