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 $\frac { 2 } { 5 } M R ^ { 2 }$