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

question 6

Multiple Choice

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

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Definitions:

Intervertebral Foramen

An opening between adjacent vertebrae through which nerves and blood vessels pass.

Coccyx

The small, triangular bone at the base of the spinal column, consisting of three to five fused vertebrae, commonly referred to as the tailbone.

Spinous Process

A bony projection off the posterior (back) of each vertebra, serving as a point for muscle and ligament attachment.

Spinous Process

A bony projection off the posterior (back) part of each vertebra, serving as a point for muscle and ligament attachment.