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

question 81

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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