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Q.

What is the moment of inertia of a rod of mass M and length L about an axis perpendicular to it and passing through one end ?

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Detailed Solution

For the rod of mass M and length L the M.I of the rod about an axis passing through its centre of mass and perpendicular to its plane is I=ML2/12
Using the parallel axes theorem,
I=I+Ma2
With a = L/2
we get,
I=ML212+ML22=ML23

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