Home
Class 11
PHYSICS
The moment of inertia of a sphere of mas...

The moment of inertia of a sphere of mass M and radius R about an axis passing through its centre is `(2)/(5) MR^(2)` . The radius of gyration of the sphere about a parallel axis to the above and tangent to the sphere is

A

`(7)/(5)R`

B

`(3)/(5)R`

C

`(sqrt((7)/(5)))R`

D

`(sqrt((3)/(5)))R`

Text Solution

Verified by Experts

The correct Answer is:
C
MOI about tangent `I= I_(CM)+ MR^(2)= (2)/(5) MR^(2) + MR^(2)= (7)/(5) MR^(2)`
Now, `(7)/(5) MR^(2)= MK^(2) rArr K= sqrt((7)/(5))R`
Promotional Banner

Similar Questions

Explore conceptually related problems

The moment of inertia of a sphere of radius R about an axis passing through its centre is proportional to-

What is the moment of inertia of a hollow sphere about an axis passing through its centre ?

Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

The moment of inertia of a solid sphere about an axis passing through its centre of gravity is (2)/(5)MR^(2) . What is its radius of gyration about a parallel axis at a distance 2R from the first axis ?

The M.I. of the solid sphere of density 'rho' and radius 'R' about an axis passing through its centre is given by

The moment of inertia of a solid sphere about an axis passing through the centre radius is 1/2MR^(2) , then its radius of gyration about a parallel axis t a distance 2R from first axis is

The moment of inertia of thin spherical shell of mass M and radius R about a diameter is (2)/(3) MR. Its radius of gyration K about a tangent will be

The radius of gyration of a sphere of radius R about a tangent is.

Find the moment of inertia of a solid sphere of mass M and radias R about an axis XX shown in figure. Also find radius of gyration about the given axis.