Question

the radius of gyration of a disc about its transverse symmetry axis is 2cm. determine its radius of gyration about diameter​

Answer 1

Answer:

Moment of Inertia of disc about center of mass is I=

2

mR

2

Let a line parallel to axis at a distance d.

Radius of Gyration=R

Then,

2

mR

2

=mR

2

⇒R

2

=

2

R

2

⇒R=

2

R

Answer 2

Answer:

Radius of gyration or gyradius of a body about an axis of rotation is defined as the radial distance of a point ,from the axis of rotation at which, if whole mass of the body is assumed to be concentrated, its moment of inertia about the given axis would be the same as with its actual distribution of mass.