Two identical thin rods of mass M kg and length L m are connected as shown in figure. Moment of inertia of the combined rod system about an axis passing through point P and perpendicular to the plane of the rods is

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Solution

Q.
Two identical thin rods of mass M kg and length L m are connected as shown in figure. Moment of inertia of the combined rod system about an axis passing through point P and perpendicular to the plane of the rods is $\frac{x}{12} M L^{2} k g m^{2} .$ The value of $x$ is __________. [2026]

Ans.
(17)

$I = \frac{M L^{2}}{3} + (\frac{M L^{2}}{12} + M L^{2})$

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

$I = \frac{17}{12} M L^{2}$

$∴$ $x = 17$

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