Question

from a uniform solid sphere of mass m and radius r, a small sphere of radius r/3 has been removed. find the moment of inertia of remaining sphere about the diameter

Answer 1

Answer:

Correct option is

A

160

57

MR

2

Density=

V

M

=

3

4

πR

3

M

Mass of small sphere=d×V

=

3

4

πR

3

M

×

3

4

π

8

R

3

=

8

M

MI of spehere about an axis passing through centre of sphere

=

5

2

MR

2

−

5

7

8

M

4

R

2

=

5

2

MR

2

−

160

7

MR

2

=

160

57

MR

2