Question

Find the moment of inertia of a sphere about its tangent to the sphere, given the moment of inertia of the sphere about any of the diameters to be 2MR²/5, where M is the mass of the sphere and R is the radius of the sphere.

Answer 1

Hey buddy,

◆ Answer- 7/5 MR^2

◆ Explaination-
# Given-
M.I. of sphere through diameter = 2/5 MR^2

# Solution-
According to parallel axis theorem, the M.I. about a tangent of the sphere will be
I' = I + MR^2
I' = 2/5 MR^2 + MR^2
I' = 7/5 MR^2

The M.I. about a tangent of the sphere will be 7/5 MR^2.

Hope that helps you...