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

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:

A

`sqrt(1/2)R`

B

`sqrt2R`

C

`sqrt3/2R`

D

`sqrt3/4R`

Text Solution

Verified by Experts

The correct Answer is:
C
`I_(AB)=I_(C C.)+m((R)/(2))^(2)`
`I_(AB)=(1)/(2)mR^(2)+(mR^(2))/(4)" "," "I_(AB)=(3mR^(2))/(4)`
`mk^(2)=(3mR^(2))/(4)" "," "k=sqrt((3R^(2))/(4))`
Promotional Banner

Similar Questions

Explore conceptually related problems

The radius of gyration of a uniform circular disc of radius R , about any diameter of the disc is

The radius of gyration of a disc of mass 50 g and radius 2.5 cm, about an axis passing through its centre of gravity and perpendicular to the plane is

The radius of gyration of a disc of mass 100 g and radius 5 cm about an axis passing through its centre of gravity and perpendicular to the plane is

Show that the radii of gyration of a circular ring and circular disc of the same radius about an axis passing through their centres and perpendicular to their plane are in the ratio sqrt(2) : 1 .

The M.I. of disc of mass M and radius 'R' about an axis passing through midway between centre and circumference and perpendicular to its plane is

Radius of gyration of a uniform circular disc about an axis passing through its centre of gravity and perpendicular to its plane is

The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius about an axis passing through their centres and perpendicular to their planes are

The radius of gyration of a disc of radius 25 cm about a centroidal axis perpendicular to disc is

Moment of inertia of a uniform quarter disc of radius R and mass M about an axis through its centre of mass and perpendicular to its plane is :