Home
Class 12
PHYSICS
The radius of gyration of a uniform rod ...

The radius of gyration of a uniform rod of length l , about an axis passing through a point `(l)/(8)`away form the centre of the rod , and perpendicular to it is:

A

`l/4`

B

`l/64`

C

`sqrt((19)/(192))l`

D

`sqrt(7/48)l`

Text Solution

Verified by Experts

The correct Answer is:
C
`I=(Ml^(2))/12+(Ml^(2))/64, Ml^(2)[19/192]`
`Mk^(2)=M(l^(2)19)/192,k=sqrt(19/192)l`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART I : PHYSICS (SECTION-2)|10 Videos

  • MOCK TEST 11

    VMC MODULES ENGLISH|Exercise Physics (Section-2)|5 Videos

Similar Questions

Explore conceptually related problems

The radius of gyration of a uniform rod of length L about an axis passing through its centre of mass is

The radius of gyration of a uniform disc of radius R, about an axis passing through a point (R )/(2) away from the centre of disc, and perpendicular to the plane of disc is:

The radius of gyration of a uniform disc of radius R, about an axis passing through a point (R )/(2) away from the centre of disc, and perpendicular to the plane of disc is:

The radius of gyration of a uniform solid sphere of radius R., about an axis passing through a point R/2 away from the centre of the sphere is:

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.

The moment of inertia of a uniform thin rod of length L and mass M about an axis passing through a point at a distance of L//3 from one of its ends and perpendicular to the rod is

Moment of inertia of a thin rod of mass m and length l about an axis passing through a point l/4 from one end and perpendicular to the rod is

Moment of inertia of a uniform rod of length L and mass M , about an axis passing through L//4 from one end and perpendicular to its length is

Moment of inertia of a uniform rod of length L and mass M , about an axis passing through L//4 from one end and perpendicular to its length is

A thin uniform rod of mass M and length L. Find the radius of gyration for rotation about an axis passing through a point at a distance of (L )/(4 ) from centre and perpendicular to rod.