Review of kinematics and particle dynamics; Conservation theorems; Potential energy and conservative forces; Motion on a curve; Translation of coordinate systems; Inertial and non-inertial reference systems; Rotation of coordinate system; Effects of Earth’s rotation; Coriolis force and centrifugal force; The Foucault pendulum; Gravitation and central forces; Gravitational potential; Motion in an inverse-square repulsive force field; Equations of motion, potential energy and differential equations describing the motion of a particle in a central force field; Centre of mass, kinetic energy, linear momentum and angular momentum of a system of particles; Motion of two interacting bodies; The reduced mass; Collisions; The laboratory and centre of mass coordinate systems; Impulsive force; Motion of a body of variable mass; Rocket motion; Rotation of a rigid body about a fixed axis; Moment of inertia; The physical pendulum; General theorem concerning angular momentum; Laminar motion of a rigid body; Rigid body rolling down an inclined plane; Rotation of a rigid body about an arbitrary axis; Principal moments and product of inertia; Rotational kinetic energy of a rigid body; Principal axes and their directions; Euler’s equations; Motion of a rigid body under no torques; Free rotation of a rigid body with an axis of symmetry; gyroscopic precession; motion of a top-gyroscopes; Generalised coordinates; degrees of freedom; constraints; D’Alembert’s principle; Lagrange’s equations; Calculus of variations; Hamilton’s equations, Hamilton-Jacobi equations.