To provide a solid understanding of classical mechanics and enable the students to use this understanding while studying courses on quantum mechanics, statistical mechanics, electromagnetism, fluid dynamics, and astrodynamics

INTENDED LEARNING OUTCOMES

Students will be able to articulate and describe:

1.  Relative motion. Inertial and non-inertial reference frames.
2. Parameters defining the motion of mechanical systems and their degrees of freedom.
3. Study of the interaction of forces between solids in mechanical systems.
4. Centre of mass and inertia tensor of mechanical systems.
5. Application of the vector theorems of mechanics and interpretation of their results.
6. Newton’s laws of motion and conservation principles.
7. Introduction to analytical mechanics as a systematic tool for problem-solving.
8. Use of mechanical simulation software.

COURSE CONTENTS

1. General introduction
2. Projectile motion with air resistance
3. Applications of the principle of conservation of energy
4. Centre of mass of a system of particles
5. Linear momentum, angular momentum and K.E. with respect to the centre of mass
6. Motion of a rigid body
7. Translation and rotation
8. Linear and angular velocity of a rigid body about a fixed axis
9. Moments and products of inertia
10. Parallel and perpendicular axis theorems
11. General motion of rigid bodies in space
12. Angular momentum and moment of inertia
13. Principal axes and principal moments of inertia
14. Determination of principal axes by diagonalizing the inertia matrix
15. Equi-momental systems
16. Rotating axes theorem
17. Euler’s dynamical equations
18. Free rotation of a rigid body with three different principal moments of inertia
19. Torque free motion of a symmetrical top
20. Eulerian angles and rigid body motion

Recommended Books

1. Di Benedetto E, (2011) Classical Mechanics.( Theory and Mathematical Modeling,Birkhauser Boston)
2. John R. Taylor,(2005) Classical Mechanics, (University of Colorado)

Suggested Books

1. Fowles G. R. and Cassiday G. L,(2005) Analytical Mechanics, (7thedition, Thomson Brooks/COLE, USA)
2. Richard Fitzpatrick,(2006) Classical Mechanics. (The University of Texas at Austin)
3. K. Sankara Rao, (2005) Classical Mechanics.( New Delhi-11001)

RESEARCH PROJECT /PRACTICALS/LABS/ASSIGNMENTS

Related topic assignments will be given to students.

ASSESSMENT CRITERIA

Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)

Mid-Term Exam:   30

Final-Term Exam: 50

Key Dates and Time of class meeting

Wednesday: 9:30 am -11:00 am. 

Thursday: 9:30 am-11:00am.

Commencement of Classes                                                   March 02, 2020

Mid Term Examination                                                            April 27 to May 04, 2020

Final Term Examination                                                          June 22-26, 2020

Declaration of Result                                                              July 03, 2020