Question

The moment of inertia of a solid sphere of mass m and diameter d about an arbitrary axis a distance D from the centre of the sphere is

Answer 1

Answer:

Moment of inertia of solid sphere about its COM I

com

=

5

2

MR

2

Moment of inertia of solid sphere about an axis parallel to COM and tangent to the sphere

I=I

com

+MR

2

=

5

2

MR

2

+MR

2

=

5

7

MR

2

Radius of gyration about that tangent axis k=

M

I

∴ k=

5M

7MR

2

=

5

7

R

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