Question

Determine the moment of inertia of a uniform solid sphere of mass M and radius R about an axis that is tangent to the surface of the sphere. (Use any variable or symbol stated above as necessary.)

Answer 1

`I = (7)/(5)MR^2`

Step-by-step explanation:

For answer this we will use the paralell axis theorem:

I=
`I_(cm) + Md^2`

Where
`I_(cm)` is the moment of inertia of the center of mass, M is the mass of the sphere and d is the distance between the center of mass and the axis for rotate, then:

`I = (2)/(5)MR^2 +MR^2`

`I = (7)/(5)MR^2`