Unit – I

Force, Energy, Momentum & Collisions

Learning objectives
After completing this chapter, student will be able to
LO1- solve problems based on Newtons laws of motion.
LO2- identify types of mechanical energy possessed by an object.
LO3- predict whether an object’s total mechanical energy would be conserved or not conserved based upon the types of forces which are doing work upon the object.
LO4 – apply the principles of energy conservation to a various of physical situations.
LO5- determine the momentum of total system and to state what momentum conservation is.
LO6- apply the principle of momentum conservation to solve collision problems. One-, two- and three-dimensional motion under forces – Energy and momentum
conservation- collision in one and two dimensions.

Unit - II

Gravitation & Kepler’s laws

Learning objectives
After completing this chapter, student will be able to
LO1- calculate the gravitational force experienced by two objects.
LO2- Relate Kepler’s laws to Newton’s universal law of gravitation
LO3- solve problems based on the concept of gravitational potential energy
LO4- apply Kepler’s law to find the characteristics of orbit
Newton’s laws- Gravitation- Central force motion and application to planetary
motion- Kepler’s laws

Unit - III

Rotational dynamics

Learning objectives
After completing this chapter, student will be able to

LO1- construct appropriate free-body diagrams and solve problems in two-
dimensional rigid-body dynamics.
LO2- Apply appropriate mathematical equations to solve problems based on torque
and moment of inertia.
LO3- Understand the inertia matrix and the principal moments and principal
directions at any point in a rigid body or system of particles
Rotational motion of a rigid body, Potential energy, Euler’s angles-Euler’s
Equation-Moment of inertia tensor

Unit- IV

Special Theory of relativity
Learning objectives
After completing this chapter, student will be able to
LO1- understand the concept of constant relative motion of different bodies in
different frames of references
LO2- use Lorentz transformations to apply the concepts of length contraction and
time dilation
LO3- Describe relativistic effects seen in conservation of momentum and perform
calculations involving mass energy equivalence

Frames of reference, Galilean relativity, non-inertial frames, Lorentz
transformation-basic special relativity- velocity addition- Relativistic momentum

Unit – V

Lagrangian formalism
Learning objectives

After completing this chapter, student will be able to
LO1- Apply variational calculus to demonstrate principle of least action
LO2- define generalised coordinates, generalised velocities, generalised force
LO3- Identify the motion of a mechanical system using Lagrange formalism
LO4- qualitatively analyze, understand the mechanical systems

1. Least action principle, phase space, Langarangian Formulation-
Applications

The objective of the course is to make students understand how physics is applied to the phenomena observed in the real world. The course also aims in enhancing the problem-solving skills using techniques that require mathematical skills, conceptual and mathematical models.At the end of the course students will be able to:

CO1 : understand basic physics associated with kinematics in 1,2,&3 dimensions, explain the meaning of conservation(energy& Momentum) and use it to compare the changes occurring during collision of two objects

CO2 : apply Newton’s law of universal gravitation to find the gravitational force between two masses ,use Kepler’s law of harmonies to make calculations regarding the radius and period of orbits of planets.

CO3 : Understand rigid bodies, draw clear and appropriate free body diagrams. determine the mass moments and products of inertia for arbitrary rigid bodies, analyse the motion of rotating systems, calculate the inertia tensor for simple objects

CO4 : understand Variance& invariance, check invariance of different laws of Physics under Galilean transformations& explain the meaning and significance of the postulate of Special Relativity.

CO5 : understand the fundamentals of the mechanics of continuous systems, solve problems based on principle of least action and write Lagrangian for mechanical system in terms of generalised coordinates Skills Acquired : Develops logical skills in applying and analysing problems in mechanics