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Kinematics of a Rigid body
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1. IntroductionThe Rigid Body. A body in which the distance between any two points does not change due to the application of external forces is called a rigid body (figure 1).Motion of a Rigid Body. Various types of motions of a rigid body can be grouped mainly into three categories viz.Translation, fixed axis rotation and the general plane motion.2. TranslationA motion is said to be a translation if any straight line inside the body keeps the same direction during the motion. It may also be observed that in a translation all the particles forming the body move along parallel paths. If these paths are straight lines, the motion is said to be rectilinear translation
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submitted by
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on 26 Dec 2008 17:53:41 IST
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ATOMIC STRUCTURE
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IntroductionThe word atom is a Greek word meaning indivisible, i.e., an ultimate particle which cannot be further subdivided. The idea that all matter ultimately consists of extremely small particles was conceived by ancient Indian and Greek philosophers. The old concept was put on firm footing by John Dalton in the form of atomic theory which he developed in the years 1803–1808. This theory was a landmark in the history of chemistry. According to this theory, atom is the smallest indivisible part of matter which takes part in chemical reactions. Atom is neither created nor destroyed. Atoms of the same element are similar in size, mass and characteristics; how
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submitted by
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on 27 Dec 2008 21:01:31 IST
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AIEEE 2009 Solutions and Analysis
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The questions asked in mathematics in this year's AIEEE were lengthy and conceptual. The level of questions can be compared with questions asked in Mathematics section of IIT JEE. As compared to last year, this year the questions asked in maths were difficult. Unlike like last year the numbers of questions were only 30 questions as compared to 35 questions asked in last year. This in a way is an indication that the paper or level of AIEEE is inching towards higher level of complexity, since the amount of time remains same but the number of questions asked have reduced. The total numbers of question in AIEEE 2009 were 90, with 30 in each subject. This year there
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submitted by
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on 26 Apr 2009 17:16:34 IST
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Disha - Path to Success Series
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in association with The last few weeks before the exams are most critical for students. It is during this phase that bulk of exam syllabus is revised& reviewed for the last few times. Any short coming that becomes apparent at this stage can be easily rectified. The focusof this phase is on review, revise, recall, remember and reproduce. Whatever you learn and memorize during this periodw
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submitted by
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on 27 Mar 2009 12:27:11 IST
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Electricity and Effect of Current
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Current Density () Tutorial: The current density at any point inside a conductor is defined as a vector quantity whose magnitude is equal to current per unit infinitesimal area at that point, the area held normal to the direction of flow of current.Current density points along the direction of current flow. If Anis small area normal to Current I, then current density = The unit of current density is Am-2 from above, we have I = JA cos = Drift Velocity : When no potential difference is applied across a conductor, the free electron are in random motion and hence the average velocity of free electrons is zero and consequently this motion does n't constitute a
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submitted by
Umair Javed
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on 29 Jan 2009 16:21:50 IST
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Heat & Thermodynamics
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Heat & Thermodynamics (Thermometry) Scales of Temperature: There are three types of scale of temperature which are as given here...The Celsius Scale: This scale was devised by Anders Celsius in the year 1710. The interval between the lower fixed point and the upper fixed point is divided into 100 equal parts. Each division of the scale is called one degree centigrade or one degree Celsius (1°C). At normal pressure, the melting point of ice is 0°C. This is the lower fixed point of the Celsius scale. At normal pressure, the boiling point of water is 100°C. This is the upper fixed point of the Celsius scale.The Fahrenheit Scale: This scale was devised
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submitted by
Umair Javed
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on 29 Jan 2009 12:31:27 IST
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Properties of Matter
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Properties of Elasticity & Plasticity:1.) When a body is subjected to external forces such that there is no acceleration then the effect of these external forces would be to deform the body. The extent of deformation depends on the elastic properties of the body.2.) Bodies which do not get deformed when subjected to external deforming forces are classified as ideal Rigid bodies which do not exist in reality.3. a.) The rigid bodies which we see in our daily life are not ideally rigid.b.) The behavior of solids, liquids and gases is different under the action of deforming forces.4.) When the deforming forces are withdrawn, the body may regain its original shape
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submitted by
Umair Javed
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on 29 Jan 2009 12:28:23 IST
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Centre of Mass
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Centre of Mass Tutorial & Sample Questions: Centre of mass of a body or a system of particles is the point at which the whole mass of the system or body is supposed to be concentrated and moves as if the whole external force is applied at that point. The motion of centre of mass of a body represents the motion of the whole body. Position of centre of mass : a.) Two particle systemTwo particles of masses m1and m2are separated by a distance 'd'. If x1and x2are the distances of their centre of mass from m1and m2, thenm1x1= m2x2 x1= x2= b.) The centre of mass of heavier and lighter mass system lies nearer to the heavier
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submitted by
Umair Javed
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on 29 Jan 2009 12:25:46 IST
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Bionomial Theoram
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IntroductionBinomial Theoram is one chapter in which you see a question and then realise that it can easily be done in 2 or 3 ways. Definitely one of the most interesting chapters which uses concepts from calculus, trignometry, complex number prognessiong and wkhat not Binomial theoram finds use in number theory as well. So, let us prober deeper into this section.Binomial theormDefinition of Bionomial theoram If n is a +ve integer and x1 y are 2 complex number then .(x + y)n n Cr xn-r yr= nCoXn - nC1 Xn-1 y + nC2 Xn-2 y2 +............+ n Cn ynSimilarly (x - y) n = nCoXn
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submitted by
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on 27 Dec 2008 17:33:21 IST
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Carboxylic Acid
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Some important acids and their structural formula’s.Preparation Manufacture or industrial preparation. (1) HCOOH (Formic acid) (2) (COOH)2 Oxallic acid (3) CH3COOH (Acetic acid) (b) From pyroligneous acid (already discussed in alcohols). (c) Quick vinegar process or fermentation process In the ‘quick vinegar process’, beech shavings, contained in b
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submitted by
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on 9 Jan 2009 14:35:34 IST
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Atomic Structure
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Introduction Atomic Structure:The most special thing about this chapter is that the no. of scientists involved in developed of this concept is remarkably large. Starting with heucippus of Miletus in 440 BC it extends to 2000's. And the research is still going on. Even the great scientist EINSTEIN had his hands in developing this extraordinary concept.Atomic No.: Total no. of protons present in nucleus.Mass No.: Total no. of protons & Neutrons in neucleus.Atomic No.(Z): no. of electrons (when atom is neutral).Mass No.(A): no. of neutrons + no. of protons. Representation Ilustration: Calculate no. of protons, neutrons & electrons in Ans: Z = 3
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submitted by
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on 9 Jan 2009 10:20:31 IST
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IIT-JEE Chemistry by M.K.Tiwri
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HOW TO PREPARE CHEMISTRY AS A SUBJECT FOR IIT-JEEYou know IIT JEE is the most prestigious & challenging examination for class XIIth students in India. It comprises of three subjects e.q. physics, chemistry & maths. Out of these physics & chemistry play a crucial role in the selection process of candidate. If you see the track record of previous years you will find that in chemistry & physics student score more marks than maths, because of the theoretical nature of these subjects Chemistry is one of the top most scoring subjects. Meticulous planning of preparation can give you a marvelous increase in your rank in IIT-JEE. Chemistry comprises of three
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submitted by
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on 12 Jan 2009 18:43:28 IST
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General Principles of Extraction of Metals
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OCCURRENCE OF METALS: The earth's crust is the biggest source of metals. Some soluble salts of the metals are also found in sea-water. Metals occur in nature sometimes free but mostly in combined state. The natural mode of occurrence of a metals is largely dependent on its nature. Those metals which are least reactive and have little or no affinity for oxygen, moisture and other chemical reagents occur in free or metallic or native state i.e., in uncombined state. Most of the metals are reactive and hence are found in combined state i.e., as compounds.The natural substances in which the metals or their compounds occur in the earth are called minerals. The
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submitted by
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on 29 Dec 2008 15:11:07 IST
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Chemical Bonding
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Hydrogen bond is formed when a slightly positive hydrogen atom, attached covalently to strong electronegative atom A (e.g., F, O or N) is held by a non-bonded electron pair of another atom B. The coordination number of hydrogen becomes two and it acts as a bridging atom between A and B.Generally hydrogen bond is formed with only F, O and N atoms. Sometimes less electronegative atoms such as Cl, S etc., also take part in the formation of hydrogen bond. Hydrogen bond is denoted by dotted lines (...........). It can be defined as :The attractive force that binds a hydrogen atom, which is already covalently attached with strongly electronegative atom of gain element
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submitted by
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on 9 Jan 2009 15:01:02 IST
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Aldehydes and ketones
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Aldehydes & Ketones:Aldehydes and ketones contains the same functional group, the carbonyl group (> C = O).Aldehydes behave as reducing agents due to presence of reducing hydrogen atom where as ketones have no such property so aldehydes easily reacts with oxidising agent. Even HCOOH shows some properties of carbonyl compounds due to presence of – CHO group. HCOOH behaves as reducing agent while in other acids no reducing hydrogen atom, so no reaction with oxidising agent. Preparation Methodology:(i.) Oxidation of Alcohols:(a.) From PCC or pyredeniumchlorochromate. Which is pyridine, CrO3 and HCl, in equal ratioBy Jones reagent (CrO3 and aq. CH3COCH3) r
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submitted by
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on 9 Jan 2009 12:46:21 IST
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Quadratic Equations
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Quadratic equation is nothing but polynomial equation with degree 2.The graph of quadratic equation i.e. represents a parabola.It is often claimed that Babylonians (about 400 BC) were first to solve quadratic equation. However this is not true, Savasorda in 1145 came with complete solution of quadratic equation about 900 years from then we have many interesting things to calculate like intervals of values of x for which quadratic expression is ofone sign and many more things.So let us start solving “QUADRATIC EQUATION”INTRODUCTION:An equation of form
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submitted by
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on 9 Jan 2009 12:18:39 IST
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Progression And Series
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Sequence and Series is one of the most important chapter that is covered in the syllabus for IIT-JEE. The summation of series is one of the most important way to reduce large series into some value and it is widely used throughout the syllabus. The tricks and techniques discussed here are very useful and are widely used in other chapters as well. The A.M- G.M inequality which will be discussed here is also a very important result that is used widely. So Let us Probe more into this Chapter... Arithmetic Progression (A.P): A sequence of numbers is said to be in A.P when difference id="_x0000_t75" coordsize="216
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submitted by
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on 9 Jan 2009 11:50:31 IST
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Parabola
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Introduction to Parabola: Parabola is a curve of infinite extent and is not often obsened in real life as circles or shaight line are . However, the parabplaic curres are very important and have some vert good propertvies like the light raus reflected from parabolic surface passes through one foxed point. This property of parabola is luidely used in making lenses and in optics.The brridges also take parabolic shape have been centuries lod. So, now let us start studying this interesting curre in more detail.Parabola is locus of point which moves such that its distance from fixed point (focus) is always equat to its distance from fixed line (dir
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submitted by
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on 9 Jan 2009 11:00:14 IST
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Vriti Edustore
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