First slide

Moment of intertia

Question

Two uniform, thin identical rods each of mass M and length I are joined together to form a cross. What
will be the moment of inertia of the cross about an axis passing through the point at which the two rods
are joined and perpendicular to the plane of the cross?

Moderate

A

$\frac{M l^{2}}{12}$
B

$\frac{M l^{2}}{6}$
C

$\frac{M l^{2}}{4}$
D

$\frac{M l^{2}}{3}$

Solution

Moment of intertia, $I = 4 [\frac{M}{2} \frac{(l / 2)^{2}}{3}] = \frac{M l^{2}}{6}$

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