Problem 3: Shown below are six point masses connected by three rigid lightweight

Question

Problem 3: Shown below are six point masses connected by three rigid lightweight rods to form a rigid object. The rods are connected at the origin, are mutually perpendicular, and lie along the axes of the coordinate system shown. All point masses are the same distance from the central point of the three rods which is at the origin of the coordinate axis. The shaded point masses in the diagram are the same mass and heavier than the unshaded point masses. Rank these systems based on the moment of inertia about the x-axis from greatest to least. Hint: Only 3 ranks are assigned in this problem.

Explanation / Answer

Moment of inertial about x-axis, does not depends upon, mass on the x-axis. So more the mass on y and z axis , more is the moment of inertia of the system. Hence order is
IF > IE = ID = IC > IB = IA

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