(a) A rigid body is rotating with angular velocity es about a fixed axis O. Consider- ing a smali particle of the body of mass m, at distance r from the axis, state the linear velocity of the particle at any instant, the linear momentum of the particle at that instant, the angular momentum of the particle, and the kinetic energy of the particle. Write down expressions for (i) the angu- lar momentum about the axis O, (i) the kinetic energy, of the whole body, re- garded as an assemblage of individual particles, and hence explain the meaning and the importance of the idea of moment of inertia.

(a) A rigid body is rotating with angular velocity es about a fixed axis O. Consider- ing a smali particle of the body of mass m, at distance r from the axis, state the linear velocity of the particle at any instant, the linear momentum of the particle at that instant, the angular momentum of the particle, and the kinetic energy of the particle. Write down expressions for (i) the angu- lar momentum about the axis O, (i) the kinetic energy, of the whole body, re- garded as an assemblage of individual particles, and hence explain the meaning and the importance of the idea of moment of inertia.