Two uniform thin rods each of mass M and length l are placed along X and Y axis with one end of each at the origin. Moment of inertia of the system about Z -axis is

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TestHub · Accepted Answer

According to theorem of parallel axes, moment of inertia of a rod about one if its ends

$= \frac{M l^{2}}{12} + \frac{M l^{2}}{4} = \frac{M l^{2}}{3}$

$∴$ Moment of inertia of two rods about $Z$ -axis=Moment of inertia of 2 rods placed along $X$ and $Y$ -axis $= \frac{2 M l^{2}}{3}$

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