+1 vote
in Class 12 by kratos

Three rods each of mass m and length l are joined together to form an equilateral triangle as shown in figure. Find the moment of inertia of the system about an axis passing through its centre of mass and perpendicular to the plane of triangle.

1 Answer

+3 votes
by kratos
 
Best answer

Moment of inertia of rod BC about an axis perpendicular to plane of triangle ABC and passing through the midpoint of rod BC (i.e., D) is

From theorem of parallel axes, moment of inertia of this rod about the asked axis is

∴ Moment of inertia of all the three rod is

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