Question

The radius of gyration of an uniform rod of length `l` about an axis passing through one of its ends and perpendicular to its length is.
A. `l/sqrt 2`
B. `l/3`
C. `l/sqrt 3`
D. `l/2`

Answer 1

Correct Answer - c
Moment of inertia of rod of mass M and length l about its axis passing through one of its ends and perpendicular to its is
`I =1/3Ml^(2)`,
As I`=Mk^(2)` where k is the radius of the gyration
`therefore Mk^(2)=1/3Ml^(2)` or `k=l/sqrt(3)`