A uniform solid sphere has a moment of inertia I about an axis tangent to its surface. What is the moment of inertia of this sphere about an axis through its center? A) 2/5 I B) 1/7 I C) 7/5 I D) 3/5 I E) 2/7 I
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To find the moment of inertia about an axis through the center of the sphere, we need to find the mass and radius of the sphere. Show more…
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A uniform solid sphere has a moment of inertia I about an axis tangent to its surface. What is the moment of inertia of this sphere about an axis through its center? (2/7) I (1/7) I (2/5) I (3/5) I (7/5) I
Khoobchandra A.
The moment of inertia of a sphere of mass $M$ and radius $R$ about an axis passing through its centre is $\frac{2}{5} M R^{2}$. The radius of gyration of the sphere about a parallel axis to the above and tangent to the sphere is (a) $\frac{7}{5} R$ (b) $\frac{3}{5} R$ (c) $\left(\sqrt{\frac{7}{5}}\right) R$ (d) $\left(\sqrt{\frac{3}{5}}\right) R$
Rotational Motion
Round 1
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