Trace the steps by which the equations of motion of a system of particles are derived from the Newtonian equations applicable to the individual particles of which the system is composed. It may be assumed that the reaction between two particles is in the line joining them. Hence develop equations connecting the external forces with the kinetic energy of rigid and non-rigid bodies.
The first and second laws of thermodynamics.
Prove the theorem that the circulation round a given circuit of particles in a non-viscous fluid is constant during the motion of the fluid. Hence develop the theory of irrotational motion.