Define moment of inerita of a rigid body capable of rotation about an axis. State its physical significance.

Define moment of inertia of a body capable of rotation about an axis. Show that the moment of inertia of a body an axis is numerically equal to twice its kinetic energy if it rotates with unit angular velocity.

What is Reynold's number? What is its physical significance?

What is KE of rotation of rigid body ?

What is moment of inertia of a solid sphere about its diameter.

Calculate the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end.

Calculate the moment of inertia of a ring about in axis passing through centre and perpendicular to its plane.

What is the physical significance of moment of inertia?

A vector has both magnitude and direction. Does it mean that anything that has magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation, and the angle of rotation about the axis. Does that make any rotation a vector?

(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.

State Kirchhoff's voltage law and mention its significance.