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PHYSICS

                                                 (DISCIPLINE – A)




               DISCIPLINE SPECIFIC COURSES:



               Phys.111                   Mechanics                                                      3+1

               LEARNING OBJECTIVES:


               The primary objective of this course is to:
                     review the concepts of mechanics learnt at school from a more advanced perspective and
                       goes on to build new concepts.
                     learn the collisions in the centre of mass frame, rotational motion and central forces.
                     be able to apply the concepts learnt to several real world problems.
                     In  the  laboratory  part  of  the  course,  the  students  will  learn  to  use  various  instruments,
                       estimate the error forevery experiment performed and report the result of experiment along
                       with the uncertainty in the result up to correct significant figures.

               LEARNING OUTCOMES:

               Upon completion of this course, students will be able to,
                         Learn the Galilean invariance of Newton‘s laws of motion.
                         Understand translational and rotational dynamics of a system of particles.
                         Apply Kepler‘s laws to describe the motion of planets and satellite in circular orbit.
                         Understand Einstein‘s postulates of special relativity.
                         Apply  Lorentz  transformations  to  describe  simultaneity,  time  dilation  and  length
                           contraction
                         Use  various  instruments  for  measurements  and  perform  experiments  related  to
                           rotational  dynamics,  elastic  properties,  fluid  dynamics,  acceleration  due  to  gravity,
                           collisions, etc.
                         Use propagation of errors to estimate uncertainty in the outcome of an experiment and
                           perform the statistical analysis of the random errors in the observations.


               THEORY(45 Hours)

               UNIT 1                                                                             (14 Hours)
               Fundamentals of Dynamics: Inertial and Non-inertial frames, Newton's Laws of Motion, and their
               invariance under Galilean transformations. Momentum of variable mass system: motion of rocket.
               Dynamics  of  a  system  of  particles.  Principle  of  conservation  of  momentum.  Impulse.
               Determination  of  Centre  of  Mass  of  discrete  and  continuous  objects  having  cylindrical  and
               spherical symmetry. Differential analysis of a static vertically hanging massive rope
               Work  and  Energy:Work  and  Kinetic  Energy  Theorem.  Conservative  forces  and  examples
               (Gravitational and electrostatic), non-conservative forces and examples (velocity dependent forces
               e.g.  frictional  force,  magnetic  force),  Potential  Energy.  Energy  diagram.  Stable,  unstable,  and
               neutral  equilibrium. Force as  gradient of the potential energy. Work done by non-conservative
               forces.
               Collisions:Elastic  and  inelastic  collisions  between  two  spherical  bodies.  Kinematics  of  2  →  2
               scattering in centre of mass and laboratory frames.




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