Syllabus
UNIT 1One-dimensional Kinematics. Kinematics in 2D and 3 D: Projectile Motion, Circular Motion. Non-inertial frames and pseudo Forces-Rotating Coordinate Frame, Fictitious Forces, Coriolis Force, Tides, Foucault Pendulum.UNIT 2Newtons Laws of Motion – Forces, Frictional Forces-Work, Kinetic Energy, Work-Energy Theorem, Potential Energy, Conservation of Energy Newtons law of gravitation, Motion in uniform gravitational field.UNIT 3Centre of Mass, Conservation of linear momentum, collisions, and systems with variable mass. Torque, Angular momentum, Moment of Inertia, Conservation of Angular momentum, Kinetic Energy of Rotation.UNIT 4Stress, Strain, Hookes law Elastic properties of matter. Kinematics of moving fluids, Equation of continuity, Eulers equation, Bernoullis theorem, Viscous fluids, Reynolds number, Surface tension, Surface energy.UNIT 5Special theory of Relativity-Lorentz transformations, relativistic kinematics and mass-energy equivalence.
Objectives and Outcomes
Prerequisites: Higher secondary level Mathematics courseCourse ObjectivesThis course is intended to impart students basic understanding of Newtonian mechanics involving both translational and rotational motions of bodies, vector algebra, curvilinear coordinates, concepts such as work-energy theorem, conservation of energy and momentum along with center of mass. Also basic knowledge on elastic properties of matter and fluid mechanics will be imparted to students.Course OutcomesAt the end of the course students will be able toCO1. Understand and analyze one, two and three dimensional translational motion problems including conservation laws.CO2. Understand and apply Newtons laws of motion and the universal law of gravitation to solve problems.CO3. Acquire knowledge on the concept of center of mass, collision and rotational motion. CO4. Apply Hookes law, determine elastic constants of solids, and apply law of buoyancy,Archimedes principle, Bernoullis theorem to solve problems related to fluid mechanics.CO5: Learn about different frames of reference and acquire knowledge on special theory of relativity.
Text Books / References
Text Books1.David Halliday, Robert Resnick & Jearl Walker, Fundamentals of Physics, John Wiley, 9E, 2012.2.Kittel et al, Mechanics, Berkeley Physics Course Vol-1, Tata McGraw Hill, 2011.Suggested Reading1.R.P. Feynman, R. P. Leighton and M. Sands, Feynman Lectures on Physics Vol.1, Narosa, 20032.Landau, Lev D., and Evgenij M. Lifshitz. Mechanics: Course of Theoretical Physics. Vol.1.3rd ed. Butterworth-Heinemann, 1976. ISBN: 9780750628969.3.https://ocw.mit.edu/courses/physics/8-01sc-classical-mechanics-fall-2016/index.htm4.Lectures by Walter Lewin on Classical Mechanics, https://www.youtube.com/watch?v=wWnfJ0- xXRE&list=PLyQSN7X0ro203puVhQsmCj9qhlFQ-As8e