PH1101 : Mechanics I (Autumn 2019) | Academic Portal of IISER Kolkata

Details of PH1101 (Autumn 2019)

Level: 1

Type: Theory

Credits: 3.0

Course Code	Course Name	Instructor(s)
PH1101	Mechanics I	Golam Mortuza Hossain

Preamble
This is a basic course on physics. Along with PH1201 this is supposed to serve as an introduction to and overview of basic physics. This will start off at a level appropriate for students who have passed out of high school. The emphasis will be more on providing the students with a flavour of the subject than on an in-depth exposition.

Syllabus
Basics of vectors and vector calculus. Fundamental theorem of calculus. Introduction to partial derivatives. Polar coordinates. Basics of second order linear ODEs - concept of complementary function and particular integrals. Taylor expansion of analytic functions. Fourier series. Basic Mechanics: Newton's laws, Non-inertial frames and pseudo forces. Motion in 1d, System of Particles, Conservation of momentum and the center of mass. Conservative systems, potential energy. Conservation of energy - consequences for 1D motion. Conservation of angular momentum. The moment of inertia tensor. Relevant applications. Simple Harmonic Oscillator, Damped Oscillators, Forced oscillators, Resonance.

Syllabus

Basics of vectors and vector calculus. Fundamental theorem of calculus. Introduction to partial derivatives.
Polar coordinates.
Basics of second order linear ODEs - concept of complementary function and particular integrals.
Taylor expansion of analytic functions. Fourier series.
Basic Mechanics: Newton's laws, Non-inertial frames and pseudo forces. Motion in 1d, System of Particles,
Conservation of momentum and the center of mass. Conservative systems, potential energy. Conservation of
energy - consequences for 1D motion. Conservation of angular momentum. The moment of inertia tensor. Relevant applications.
Simple Harmonic Oscillator, Damped Oscillators, Forced oscillators, Resonance.

Prerequisite
None.

References
D. Kleppner and R. Kolenkow, An Introduction to Mechanics, McGraw Hill Education (2017) A. P. French, Newtonian Mechanics, Viva Books (2011) D. Halliday, R. Resnick and J. Walker, Fundamentals of Physics (Extended) Volume I and II., Wiley India Pvt Ltd, (2006) R. A. Serway, J. S. Faughn and C. Vuille, College Physics Thomson Brooks Cole (2011). J. Wilson and A. Bua, College Physics , Addison Wesley Longman (2011). R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures in Physics , Narosa (2008). M. L. Boas, Mathematical Methods in the Physical Sciences, Wiley, (2005)

References

D. Kleppner and R. Kolenkow, An Introduction to Mechanics, McGraw Hill Education (2017)
A. P. French, Newtonian Mechanics, Viva Books (2011)
D. Halliday, R. Resnick and J. Walker, Fundamentals of Physics (Extended) Volume I and II., Wiley India Pvt Ltd, (2006)
R. A. Serway, J. S. Faughn and C. Vuille, College Physics Thomson Brooks Cole (2011).
J. Wilson and A. Bua, College Physics , Addison Wesley Longman (2011).
R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures in Physics , Narosa (2008).
M. L. Boas, Mathematical Methods in the Physical Sciences, Wiley, (2005)

Sl. No.	Programme	Semester No	Course Choice
1	IP	1	Not Allowed
2	IP	3	Not Allowed
3	IP	5	Not Allowed
4	MR	1	Not Allowed
5	MR	3	Not Allowed
6	MS	1	Core
7	RS	1	Not Allowed
8	RS	2	Not Allowed