Define radius of gyration of a rigid body.What is the radius of gyration of a solid sphere of mass 1 kg and radius 50 cm?

Define radius of gyration. Is ti a constant quantity?

What is the volume of a solid sphere of radius 2R?

The weight of a body of mass 1 kg

What is radius of gyration? It is a constant quantity?

Find the area of a circle of radius 35 cm.

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)/ (i+k^2^l R^3 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.

The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is

What is the physical significance of radius of gyration.

Find the capacitance of a sphere of radius 1 m.

(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2IS, where M is the mass of the sphere and R is the radius of the sphere(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2I4, find its moment of inertia about an axis normal to the' disc and passing through a point on its edge.