Standards of length, mass and time –Dimensional analysis –Significant figures Motion in one dimension: Distance and displacement –Speed, velocity and acceleration: Average and instantaneous –Free falling body -Kinematic equations of motion – Problem solving Motion in two dimensions: Vectors –Representation in polar Coordinates –Motion diagram –Projectiles Motion – Uniform circular motion – Tangential and radial acceleration –Relative velocity and acceleration –Problem solving Newton’s law of motion: Newton’s First law and inertial frame of reference – Second law – Force and its S.I unit – Force of gravity and weight – Third Law of Motion – Application of Newton’s laws – Free body diagrams and its importance –Forces of friction –Uniform circular motion –Problem solving

Work and Energy: Work done by a constant force –Scalar product of vector –Work done by variable force, Example of spring -Kinetic energy and work-energy theorem - Problem Solving. Conservation of Energy: Potential energy: Gravitational and elastic – Conservative and non-conservative forces – Relation between conservative forces and potential energy - Conservation of Mechanical Energy - Work done by non-conservative forces –Problem solving Conservation of Momentum: Linear momentum and its conservation – Impulse and momentum – Elastic and inelastic collisions in one dimension – Two dimensional collisions Centre of mass – Motion of center of mass of system of particles -Problem solving.

Angular variables– Kinematic equations for rotation with constant angular acceleration - Linear and angular quantities –Rotational energy –Calculation of moment of inertia -Torque –Relation between torque and angular acceleration –Work, power and energy in rotational motion -Rolling motion of a rigid object -Angular Momentum of a single particle, system of particles and rigid object –Conservation of angular momentum –Static equilibrium -Problem solving

Newton’s law of universal gravitation - Universal gravitation constant ‘G’ and its measurement – Free fall acceleration and gravitational force – Variation in ‘g’ with altitude and depth – Kepler’s laws – The law of gravity and motion of planets -Gravitational field and potential energy –Energy considerations in planetary and satellite motion – Problem Solving. Fluid Dynamics: Pressure –Streamline and equation of continuity –Bernoulli’s equation Ex. Venturi tube and Toricelli’s law

Constraints and degrees of freedom – Generalized coordinates – Quantities of mechanics in generalized coordinates - D’Alembert’s principle – Conservative fields –Lagrangian and Lagrange’s equation of motion – Symmetries, conservation laws and cyclic coordinates- Examples of constructing Lagrangian, and the Equation of motion: Free falling body, projectile motion, simple pendulum, double pendulum, compound pendulum and Spring-mass systems