The radius of gyration of a uniform rod of length l about an axis passing through a point at a distance

The radius of gyration of a uniform rod of length l about an axis passing through a point at a distance l/4​ from the center of the rod and perpendicular to it, is:

radius of gyration

Solution Breakdown

We calculate the radius of gyration kkk using the formula:
I=Mk^2

Step 1: Find the Moment of Inertia Using the Parallel Axis Theorem

radius of gyration

Step 2: Determine the Radius of Gyration k

radius of gyration

Final Answer

Thus, the radius of gyration is:

radius of gyration

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