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A Uniform Sphere of Radius R and Mass M Rotates 25MR2\frac{2}{5} M R^{2}

Question 6

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A uniform sphere of radius R and mass M rotates freely about a horizontal axis that is tangent to an equatorial plane of the sphere, as shown below. The moment of inertia of the sphere about this axis is:  A uniform sphere of radius R and mass M rotates freely about a horizontal axis that is tangent to an equatorial plane of the sphere, as shown below. The moment of inertia of the sphere about this axis is:   A)   \frac{2}{5} M R^{2}  . B)   \frac{2}{3} M R^{2}  . C)   \frac{5}{7} M R^{2}  . D)   \frac{7}{5} M R^{2}  . E)   \frac{3}{2} M R^{2}  .


A) 25MR2\frac{2}{5} M R^{2} .
B) 23MR2\frac{2}{3} M R^{2} .
C) 57MR2\frac{5}{7} M R^{2} .
D) 75MR2\frac{7}{5} M R^{2} .
E) 32MR2\frac{3}{2} M R^{2} .

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