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) $\frac{3}{2} M R^{2}$ .

Question

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) $\frac{3}{2} M R^{2}$ .

Quizplus · Accepted Answer

The Answer of 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 Uniform Sphere of Radius R and Mass M Rotates 25MR2\frac{2}{5} M R^{2}52​MR2

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