First slide

Moment of intertia

Question

Three uniform rods, each of mass 'M' and length 'L' form the sides of an equilateral triangle. Moment of inertia of this system about an axis passing through a corner and perpendicular to the plane of triangle is:

Moderate

A

$\frac{5}{2} {ML}^{2}$
B

$\frac{3}{2} {ML}^{2}$
C

$\frac{7}{2} {ML}^{2}$
D

ML²

Solution

$\begin{array}{l} I_{0} = \frac{{ML}^{2}}{3} + \frac{{ML}^{2}}{3} + [\frac{{ML}^{2}}{12} + M {(\frac{\sqrt{3}}{2} L)}^{2}] \\ I_{0} = \frac{3}{2} {ML}^{2} \end{array}$

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