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Tutorials 16 Batches, 40/Batch
B Slot (Monday, 9am):
CRC 101 (Janani), CRC 102 (Anupriya),CRC 103 (Piyush), CRC 201 (Pavan), CRC 202 (Jobin), CRC 302 (Anuradha), CRC 304 (Rangasami) HSB 336 (Roopas).
E slot (Monday, 1pm):
CRC 102 (Janani), CRC 103 (Anupriya), CRC 302 (Piyush), CRC 304 (Pavan),CS15 (Jobin), CS26 (Anuradha), CS34 (Rangasami) HSB 264 (Roopas).
3 Credits (2L+1T per week; For 14 weeks)
28 Lectures + 14 Tutorials = 42 Class Hours
PCD: [email protected] 4855/0PM: [email protected] 4869NR: [email protected] 4888GR: [email protected] 4890CV [email protected] 4877
Lectures: CRC 102 (P.C.Deshmukh) CRC 103 (C.Vijayan)
B-slot: L1: Tuesday, 8amL2: Friday, 11am
T: Monday, 9am
E-slot: L1: Wednesday, 10amL2: Friday, 8am
T: Monday, 1pm
‘Zeroeth’ Lecture on
Friday, 1st August, at
8am for E Slot, and
at 11am for B Slot
PH 101:Physics-I, Aug.- Dec., ’08
Dr. Deshmukh, P.C., Dr. Murugavel, P., Dr. Nirmala, R., Dr. Rangarajan, G., Dr. Vijayan, C.
Big Bang ~ between 12 and 14 billion years ago
The Solar System ~ 4.5 billion years old
Humans ~ few million years
‘SCIENCE’ is relatively young!Just a few hundred years old, perhaps a few thousand years or so,
but not older!
Why do
objects ‘fall’ ?“Gravity is NOT responsible for people falling in love”- Albert Einstein
“The earth is the natural abode of things, objects ‘fall’ when thrown up just as horses return to their stables.” - Aristotle
Scientific outlook in early days……….
the famous Indian tradition…..
Nicolus Copurnicus1473-1543
Galileo Galilei1564 - 1642
Isaac Newton(1642-1727)
Causality Determinism
F = ma grows mysterious when looked at closely. It does not refer to ordinary experience, but to an abstract world of zero resistance; in reality, we must continue pushing things to keep them moving at the same speed.
http://physicsworld.com/cws/article/print/24291
Unit 1 (Aug. 4-11): Equations of Motion
U1L1: Generalized coordinates, Principle of Least Action, Galileo’s relativity principle, Lagrangian of a free particle, Lagrangian of a System of particles.
U1L2: Hamilton’s equations, Conservation principles, Newton’s 3rd Law as an example of conservation
of momentum and discussion on associated symmetry.U1L3: Potential curves and states of equilibrium.
Motion in the vicinity of a stable equilibrium. Introduction to SHM.
T1 : 11th August, Monday.
Lagrange’s equations:One 2nd Order equation
Hamilton’s equations:Two first order equations
“Mechanical State”
“If all the coordinates and velocities are specified, it is known from experience that the state of the system is completely determined and that its subsequent motion can, in principle, be calculated.”
- Landau & Lifshitz
“The reader will find no figures in this work. The methods which I set forth do not require either constructions or geometrical or mechanical reasonings: but only algebraic operations, subject to a regular and uniform rule of procedure.”in Preface to Mécanique Analytique.
“When we ask advice, we are usually looking for an accomplice. ” - Lagrange
Joseph-Louis Lagrange(1736-1813)
William Rowan Hamilton (1805 - 1865)
“On earth there is nothing great but man; in man there is nothing great but mind.”
- Hamilton
He used to carry on, long trains of algebraic and arithmetical calculations in his mind, during which he was unconscious of the earthly necessity of eating; we used to bring in a ‘snack’ and leave it in his study, but a brief nod of recognition of the intrusion of the chop or cutlet was often the only result, and his thoughts went on soaring upwards.
- William Edwin Hamilton (his elder son).
Unit 2 (Aug. 11-14): Oscillations - Part I
U2L1: Small oscillations. SHM. Electromechanical analogues exhibiting SHM. U2L2: Damped harmonic oscillator, types of damping.T2 : 18th August, Monday.
Friday, 15th August will be a holiday, and both B Slot and E Slot will miss the Friday Lecture this week.An extra class will be taken for B Slot on Wednesday, and for E Slot on Tuesday at 5pm to compensate for this loss.
T1: 11th August, Monday
Unit 3 (Aug. 18-22): Oscillations – Part II
U3L1: Driven and damped+driven harmonic oscillator.U3L2: Wave motion in one dimension.
Wave equation and travelling wave solutions. Wave velocity, group velocity and dispersion.
T3: on 25th August, Monday.
T2: 18th August, MondayEnrico Caruso 1873 - 1921
Enrico Caruso was said to be able to shatter a crystal goblet by singing a note of just the right frequency at full voice.
In 2005, the Discovery Channel television show MythBusters recruited rock singer and vocal coach Jamie Vendera to hit some crystal ware with his best shot. He tried 12 wine glasses before stumbling on the lucky one that splintered at the blast of his mighty pipes. For the first time, proof that an unassisted voice can indeed shatter glass was captured on video.
http://www.sciam.com/article.cfm?id=fact-or-fiction-opera-singer-can-shatter-glass&sc=rss
http://www.math.harvard.edu/archive/21b_fall_03/tacoma/index.html
The Tacoma Narrows Bridge in Washington state, was with 1.9 km length one of the largest suspended bridges built at the time. The bridge connecting the Tacoma Narrows channel collapsed in a dramatic way on Thursday November 7, 1940. Winds of 35-46 mi/hours =65-75 km/hr) produced an oscillation which eventually broke the construction.
See video of this `Disaster at Resonance’ at the internet link given below!
Forced/DrivenDampedOscillator
Unit 4 (Aug. 25-29): Plane polar and cylindrical polar coordinate systems.
U4L1: Plane Polar Coordinate System.U4L2: Cylindrical Polar Coordinate System.
T4: on 1st September, Monday.
T3: 25th August, Monday
cylindrical polar coordinate systems
Kepler: “equal area in equal time”
Conservation of Angular Momentum : Central Force Field
Symmetry Conservation Law
What else is conserved,andwhat is the associated symmetry?
Her entry to the Senate of the University of Gottingen, Germany, was resisted.Her colleague, David Hilbert argued:
“The university senate is after all not a bath tub!”
Laplace Runge Lenz Vector – constant for a strict 1/r potential
Force: -1/r2
Emmy Noether1882 to 1935
Unit 5 (Sept. 1-5): Kepler Problem.Laplace-Runge-Lenz vector, ‘Dynamical’ symmetry.Conservation principle ↔ Symmetry relation.
U5L1: Kepler Problem.Laplace-Runge-Lenz vector, ‘Dynamical’ symmetry.
U5L2: Conservation principle ↔ Symmetry relation.T5: on 8th September, Monday.
T4: 1st September, Monday
Pierre-Simon Laplace1749 - 1827
Carl David TolméRunge
1856 - 1927
Wilhelm Lenz
1888 -1957Symmetry of the H atom: ‘old’quantum theory. En ~ n-2
Unit 6 (Sept. 8-11): Spherical Polar Coordinates
U6L1: Spherical Polar Coordinates. U6L2: Applications of Spherical Polar
Coordinates.
T6 : 15th September, Monday.
Friday, 12th September will be a holiday, and both B Slot and E Slot will miss the Friday Lecture this week.An extra class will be taken for B Slot on Wednesday, and for E Slot on Tuesday at 5pm to compensate for this loss.
T5: 8th September, Monday
Unit 7 (Sept. 15-19): Inertial and non-inertial reference frames.
U7L1: Moving coordinate systems. Pseudo forces. Inertial and non-inertial reference frames.
U7L2: Deterministic cause-effect relations in inertial frame, and their modifications in a non-inertial frame.
T7: on 22nd September, Monday.
T6: 15th September, Monday
Gaspard Gustave de Coriolis1792 - 1843
Unit 8 (Sept. 22-26): Inertial and non-inertial reference frames.
U8L1: Galilean & Lorentz transformations.U8L2: Special Theory of Relativity.
T8: on 29th September, Monday.
T7: 22nd September, Monday
The actual apparatus that was used in the Michelson-Morley experiment
Unit 9 (Sept. 29 - Oct.3): Physical examples of fields. Potential energy function.
U9L1: Fields/Potential.Only 1 Lecture this week.
T9: on 6th October, Monday.
T8: 29nd September, Monday
During the week between 29th Sept. and 3rd Oct.,There will be one Tutorial (T8, on Monday, 29th Sept.),and one Lecture, as we lose classes due to Mahatma Gandhi Jayanthi
and Shaastra.
Unit 10 (Oct. 6 - 10): Gradient, Directional Derivative
U10L1: Gradient of potentialU10L2: Gradient as directional derivative.
T10: on 13th October, Monday.
T9: 6th October, Monday
Unit 11 (Oct. 13 - 17): Divergence; Gauss’ Law
U11L1: Divergence of a vector filed. Gauss’ law, Equipotential surfaces.
T11: on 20th October, Monday.
T10: 13th October, MondayThis is the week for II Quiz, so we get only 1 lecture this week, apart from theTutorial on Monday
Johann Carl Friedrich Gauss1777 - 1855
The divergence theorem is a mathematical statement of the physical fact that, in the absence of the creation or destruction of matter, the density within a region of space can change only by having it flow into or away from the region through its boundary.
Unit 12 (Oct. 20 - 24): Divergence; Gauss’ Law
U12L1: Continuation of the discussion on ‘Divergence of a vector filed.
U12L2: Gauss’ law, Equipotential surfaces.T12: on 27th October, Monday.
T11: 20th October, Monday
EquipotentialSurface of two opposite point charges (5 and -1 units)
Unit 13 (Oct.27 - 31):Hydrostatics, Eq. of Continuity
U13L1: Hydrostatics. U13L2: Main thrust of this unit :
Equation of continuity, Hydrodynamic and Electrodynamic illustrations.
T13: on 3rd November, Monday.
T12: 27th October, Monday28th October (Tuesday) is a holiday for Deepawalee. B Slot’s Tuesday lecture will be missed, and therefore B Slot will have an extra class on 29th, Wednesday, at 5pm
The swing of a ball is governed by Bernoulli's theorem. The swing bowler applies saliva and rubs only one side vigorously on a piece of cloth (usually his trouser). What results is a ball with a surface that is smooth on one side of the seam and rough on the other. A white ball has a thin lacquer that is applied to its surface to avoid discoloring the ball. During play, the shiny surface of the white ball remains shinier than that of a red ball, which has a rougher surface to begin with. The difference between the rough and shiny surface of a white ball is much more, and thus it swings more than the red ball.
Debashsish MohantyInswing / Outswing
bowler
Unit 14 (Nov. 3 - 7): Fluid Flow, Bernoulli’s Principle
U14L1: Equation of motion for fluid flow. Definition of curl, vorticity, irrotational flow and circulation.
U14L2: Steady flow. Bernoulli’s equation/principle, some illustrations.
T14: on 10th November, Monday.
T13: 3rd November, Monday
The component of the curl of a vector field in the direction is the circulation of the vector field per unit area aboutthe axis , or the amount to which a particle being carried by the vector field is being rotated about .
This theorem is named after George Gabriel Stokes (1819–1903), although the first known statement of the theorem is by William Thomson (Lord Kelvin) and appears in a letter of his to Stokes in July 1850.
William Thomson, 1st Baron Kelvin
(1824-1907)
George Gabriel Stokes
(1819–1903)
Fluid Dynamics
Electrodynamics
further on to PH102