Is radius of gyration of a body a constant quantity?

Fill in the blanks: Radius of gyration of a body is _________ constant quantity.

Define radius of gyration.

Prove the result that the velocity v of translation of a rolling body (like a ring, disc, cylinder or sphere) at the bottom of an inclined plane of a height h is given by v^2=(2gh)/(1+k^2//R^2) using dynamical consideration (i.e. by consideration of forces and torques). Note k is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane.

Calculate the radius of gyration of a rod of mass 100 g and length 100 m about an axis passing through is centre of gravity and perpendicular to its length.

If both the magnitude and direction of acceleration of a body is constant, does it mean that the path of the body be necessarily be a straight line?

A uniform rod a has mass M and length L.Its radius of gyration about an axis through its one end and perpendicuular to its length is :

Draw a graph to show the motion of a body: with constant velocity.

Draw a graph to show the motion of a body: under constant retardation.