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Explanation:
Solution :-
We know that,
I(c) = 2/5MR²
Let take radius be R.
By Parallel axis theorem,
We know that,
⇒ I = I(c) + m(x)²
⇒ I = 2/5MR² + m(R)²
⇒ I = 7/5 MR²
Now, we know that,
Moment of inertia = MK²
Here, K is radius of gyration
⇒ MK² = 7/5MR²
⇒ K = √7/5R²
⇒ K = R √7/5
Hence, the radius of gyration of a uniform solid sphere about a tangent is R √7/5.
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