Moment of inertia of a uniform circular disc about a diameter is l. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be

The moment of inertia of a uniform circular disc depends on the axis of rotation. Considering an axis passing through its center and perpendicular to its plane, the opposition to rotation is minimal compared with when the axis shifts to another location. If the axis is changed so that it is moved to a point on the rim of the disc but remains perpendicular to the plane, the moment of inertia will increase.

This increases because the mass is now farther away from the new axis, making it harder for the disc to rotate. To determine this new moment of inertia, we can use the concept of adding the effect of the shifting axis. This additional factor accounts for how much the mass is distributed away from the original central axis.

The final outcome is that the moment of inertia about the rim is five times the moment of inertia about a diameter of the disc. This gives an idea about how moving the axis away from the center increases rotational resistance significantly. It is quite an important concept in mechanics for predicting the behavior of objects under different rotational conditions and for the design of systems involving rotating components.

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