| Message |
|
|
|
where can i get to download some material on rotation?
|
|
|
|
|
kanikakhanna_11november@hotmail.com
|
|
|
|
|
from where can i get some good objective and subjective questions for it prep. online?
|
|
|
|
|
|
how can we find the sum of series 12 +22 +32+.......n2
|
|
|
|
|
Lessons in Logic
If your father is a poor man,
it is your fate but,
if your father-in-law is a poor man,
it's your stupidity.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
I was born intelligent -
education ruined me.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
Practice makes perfect.....
But nobody's perfect..... .
so why practice?
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
If it's true that we are here to help others,
then what exactly are the others here for?
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
Since light travels faster than sound,
people appear bright until you hear them speak.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
How come "abbreviated" is such a long word?
............ ......... ......... ......... ......... .... ..... .......... ......... ......... ....
Money is not everything.
There's Mastercard & Visa.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
One should love animals.
They are so tasty.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
Behind every successful man, there is a woman And behind every unsuccessful man, there are two women.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
Every man should marry.
After all, happiness is not the only thing in
life.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
The wise never marry.
and when they marry they become otherwise.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
Success is a relative term.
It brings so many relatives.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
Never put off the work till tomorrow
what you can put off today.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
"Your future depends on your dreams"
So go to sleep
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
There should be a better way to start a day
Than waking up every morning
............ ......... ......... .... ..... ......... ......... .......... ......... ......... ....
"Hard work never killed anybody"
But why take the risk
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
"Work fascinates me"
I can look at it for hours
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
God made relatives;
Thank God we can choose our friends.
............ ......... ......... ......... ......... ......... .......... ......... ......... ....
The more you learn, the more you know,
The more you know, the more you forget
The more you forget, the less you know
So.. why learn.
............ ......... ......... ......... . ........ ......... .......... ......... ......... ........
A bus station is where a bus stops.
A train station is where a train stops.
On my desk, I have a work station....
what more can I say........
|
|
|
|
bsin  is the length of perpendiclar from the head of resultant to vector "a" produced. and a+bcos is the length of vector "a" produced plus the length bcos which is in turn perpendicular to bsin . bsin /a+bcos is simply the tangent of the angle made by resultant with "a" vector (rate me if u find this useful)
|
|
|
|
 One day a fisherman was lying on a beautiful beach with his fishing pole propped up in the sand and his solitary line cast out into the sparkling blue surf. He was enjoying the warmth of the afternoon sun and the prospect of catching a fish. About that time, a businessman came walking down the beach trying to relieve some of the stress of his workday. He noticed the fisherman sitting on the beach and decided to find out why this fisherman was fishing instead of working harder to make a living for himself and his family. "You aren't going to catch many fish that way," said the businessman to the fisherman, "you should be working rather than lying on the beach!" The fisherman looked up at the businessman, smiled and replied, "And what will my reward be?" "Well, you can get bigger nets and catch more fish!" was the businessman's answer. "And then what will my reward be?" asked the fisherman, still smiling. The businessman replied, "You will make money and you'll be able to buy a boat which will then result in larger catches of fish!" "And then what will my reward be?" asked the fisherman again. The businessman was beginning to get a little irritated with the fisherman's questions. "You can buy a bigger boat and hire some people to work for you!" he said. "And then what will my reward be?" repeated the fisherman. The businessman was getting angry. "Don't you understand? You can build up a fleet of fishing boats, sail all over the world, and let all your employees catch fish for you!" Once again the fisherman asked, "And then what will my reward be?" The businessman was red with rage and shouted at the fisherman, "Don't you understand that you can become so rich that you will never have to work for your living again! You can spend all the rest of your days sitting on this beach looking at the sunset. You won't have a care in the world!" The fisherman, still smiling, simply looked up, nodded and said: "And what do you think I am doing now?" He then looked at the sunset, with his pole in the water, without a care in the world. However, both the fisherman and the businessman were wrong in their materialistic outlook. We don't have to work hard so that we become rich, sit in the beach and have no care in the world. Islam teaches us to work hard to serve our family and our community and earn the pleasure of Allah (swt), regardless of whether we are poor or rich. | | | |  |  One cold, frosty day in the middle of winter a colony of ants was busy drying out some, grains of corn, which had grown damp during the wet autumn weather. A grasshopper half dead with cold and hunger, came up to one of the ants. "Please give me a grail or two from your store of corn to save my life," he said faintly. "We worked day and night to get this corn in. Why should I give it to you?" asked the ant crossly. "Whatever were you doing all last summer when you should have been gathering your food?" Oh I didn't have time for things like that, said the grasshopper. "I was far too busy singing to carry corn about." The ant laughed I unkindly. "In that case you can sing all winter as far as I am concerned," he said. And without another word he turned back to his work. Islam teaches us that we should help the less fortunate. But it also teaches us that we must work hard and not rely on the kindness of others for our daily needs. | | | | | | One morning I wasted nearly an hour watching a tiny ant carry a huge feather cross my back terrace. Several times it was confronted by obstacles in its path and after a momentary pause it would make the necessary detour. At one point the ant had to negotiate a crack in the concrete about 10mm wide. After brief contemplation the ant laid the feather over the crack, walked across it and picked up the feather on the other side then continued on its way. I was fascinated by the ingenuity of this ant, one of God's smallest creatures. It served to reinforce the miracle of creation. Here was a minute insect, lacking in size yet equipped with a brain to reason, explore, discover and overcome. But this ant, like the two-legged co-residents of this planet, also shares human failings. After some time the ant finally reached its destination - a flower bed at the end of the terrace and a small hole that was the entrance to its underground home. And it was here that the ant finally met its match. How could that large feather possibly fit down small hole? Of course it couldn't. So the ant, after all this trouble and exercising great ingenuity, overcoming problems all along the way, just abandoned the feather and went home. The ant had not thought the problem through before it began its epic journey and in the end the feather was nothing more than a burden. Isn't OUR LIFE like that? We worry about our family; we worry about money or the lack of it, we worry about work, about where we live, about all sorts of things. These are all burdens - the things we pick up along life's path and lug them around the obstacles and over the crevasses that life will bring, only to find that at the destination they are useless and we can't take them with US...... | | | | |  A saint was praying silently. A wealthy merchant, observing the saint's devotion and sincerity, was deeply touched by him. The merchant offered the saint a bag of gold. "I know that you will use the money for God's sake. Please take it." "Just a moment." The saint replied. "I'm not sure if it is lawful for me to take your money. Are you a wealthy man? Do you have more money at home? "Oh yes. I have at least one thousand gold pieces at home," claimed the merchant proudly. "Do you want a thousand gold pieces more? Asked the saint. "Why not, of course yes. Every day I work hard to earn more money." "And do you wish for yet a thousand gold pieces more beyond that?" "Certainly. Every day I pray that I may earn more and more money." The saint pushed the bag of gold back to the merchant. "I am sorry, but I cannot take your gold," he said. "A wealthy man cannot take money from a beggar." "How can you call yourself a wealthy man and me a beggar?" the merchant spluttered. The saint replied, "I am a wealthy man because I am content with whatever God sends me. You are a beggar, because no matter how much you possess, you are always dissatisfied, and always begging God for more." | |
|
|
|
|
|
Mother's DayA man stopped at a flower shop to order some flowers to be wired to his mother who lived two hundred miles away.
As he got out of his car he noticed a young girl sitting on the curb sobbing.
He asked her what was wrong and she replied, "I wanted to buy a red rose for my mother.
But I only have seventy-five cents, and a rose costs two dollars."
The man smiled and said, "Come on in with me. I'll buy you a rose."
He bought the little girl her rose and ordered his own mother's flowers.
As they were leaving he offered the girl a ride home.
She said, "Yes, please! You can take me to my mother."
She directed him to a cemetery, where she placed the rose on a freshly dug grave.
The man returned to the flower shop, canceled the wire order, picked up a bouquet and drove the two hundred miles to his mother's house.
|
|
|
|
|
|
other than goiit.com, is there any good site from where i can download some comprehensive study material for iit prep
|
|
|
|
|
Motion in 1 Dimension THIS THING IS ALL LONG AND NO WIDE... | We will begin this lesson in mechanics by throwing out some of the complicating issues which clutter the general picture. Then when we have a solid understanding of the basics we can add these discarded factors back into our thinking. For the time being we will describe the motion we are studying in terms of space and time without explicitly considering the agents that cause the motion. This simplification is so common that a name has been given to this branch of mechanics. It is called kinematics . One of the fundamental concepts in kinematics is displacement which is the difference in position of an object at two different times. In this lesson we will combine the displacement idea with the rate of change notion to develop velocity and acceleration . Then we will use the concepts of displacement, velocity and acceleration to study the motion of objects. There are three types of motion that we will study in mechanics. These are translation, rotation and vibration. Translation is motion along some path from one place to another, like a car moving down a highway. Rotation is motion around some axis, like the Earth's daily motion. Vibration is a back and forth motion like the pendulum of a clock. For the purposes of this lesson we will not consider rotation, limiting ourselves to motion in a straight line. This simplification eliminates the need to use vectors to measure the quantities describing the motion. The straight-line motion is the reason we use 1 Dimension in the title of this lesson. Also by placing this restriction on the motion we will study, we only need to consider objects that are particles , meaning that their size does not enter into our consideration. Since we are going to be interested in motion in a straight line, we can limit our reference frame to a single real number line and let each number on the line represent a unique position of the particle. Let's call this number line the x axis, so that x stands for particle position. The motion of a particle is completely known if for every time, t, we know its position, x. A convenient way to display the motion of a particle then is to plot its position vs. time on a two dimensional graph as shown in the Motion Plot display. |  |  | In our discussion so far we have made a distinction between velocity and speed, where speed is the absolute value of the rate of change of displacement with respect to time and velocity includes both a magnitude and direction. In the 1 dimensional case we have here, the only direction information required is whether the motion is towards increasing position numbers (positive), or towards decreasing position numbers (negative). Still, some direction is given by the algebraic sign so we call the rate of change of displacement with respect to time, velocity. Remember from our rate of change discussion that the rate of change of one variable with respect to another is the ratio of the change in the dependent variable to the corresponding change in the independent variable. What that means in our case is that the rate of change of position with respect to time between P 1 and P 2 is (x 2 - x 1) / (t 2 - t 1). So Dx = x2 - x1 and D t = t2 - t1 In this special case where x represents position, Dx is the displacement. Because we knew the position and time at two instances, we were able to calculate a velocity v = Dx / Dt . To indicate that this velocity is only the average velocity between position x 1 and x 2, we symbolize it with a bar over the v, like this  , so  = Dx / Dt .In general if we use the subscript i to denote initial conditions and the subscript f to denote final conditions, then Dx = xf - xi and Dt = tf - ti , so = Dx / Dt = (xf - xi) / (tf - ti) .  Be careful in the order in which you subtract one value from another to get the D of a variable. If you are inconsistent, the sign of the velocity will come out wrong. Most folks subtract the initial value from the final value. This is a convention that helps us keep our signs straight. It is a good practice to use, even if other schemes might work. Let's calculate the average velocity between t 1 and t 2 from the data we were given. That gives us = (13-3) / (16-1) = 10/15 = .6667 m/s (meters per second) , to 4 significant figures. You may have become accustomed to answers that come out even. In physics, whatever happens... happens. Now we know from our work with rates of change that the instantaneous rate of change of position with respect to time is the slope of the position vs. time plot, so instantaneous velocity is the slope of the position vs. time plot at the instant in time we are considering. In the Position & Velocity vs. Time display we have measured the slope of the position vs. time plot at many points along the time axis and plotted the results. | Acceleration is related to velocity in exactly the same way that velocity is related to position. Average acceleration  is defined as the change in velocity Dv divided by the elapsed time D>t so  = Dv / Dt = (vf - vi) / (tf - ti) Instantaneous acceleration at ti is defined as the limit of (vf - vi) / (tf - ti) as tf approaches ti, the same process by which we found instantaneous velocity from the average velocity. Remember that in terms of calculus velocity is the first derivative of position with respect to time and acceleration is the second derivative of position with respect to time. In the Position, Velocity & Acceleration vs. Time display we illustrate the relationship among position, velocity and acceleration for our example, as functions of time. The motion we have been studying illustrates a principle that we will see again, that of superposition of motions. Since our particle ends up at a place some distance from its starting point, there is a translational component of the motion. But it does not get there without some back and forth movement, so there is also a vibrational motion involved. The Actual Motion Plot display shows the actual motion of the particle on the plot we have been working with.  Are there any questions? From here we will move on to study motion in one dimension where the acceleration is constant. |  | |
|
|
|
|
hats off to u for such sweetness
|
|
|
|
|
hey, ML khanna is good, besides proper explanations a no. of questions, to develop ur concepts clearly are also there. best of luck! rate me please
|
|
|
|
|
to respected experts, please reply to this question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
|
|
|
|
|
a staircase contains three steps each 10 cm high and 20 cm wide. what should be minimum horizontal velocity of a ball rolling off the uppermost plane so as to hit directly the lowest plane
|
|
|
|
|
Basic Definitions  It is an amazing fact that by adjoining the imaginary unit i to the real numbers we obtain a complete number field called `` The Complex Numbers." In this amazing number field every algebraic equation in z with complex coefficients  has a solution. To prove this fact we need Liouville's Theorem, but to get started using complex numbers all we need are the following basic rules. -
- Every complex number has the ``Standard Form''
 for some real a and b. - For real a and b,
-
-
Notice that rules 4 and 5 state that we can't get out of the complex numbers by adding (or subtracting) or multiplying two complex numbers together. OK, so we can divide by c + di if c and d are not both zero. But there is a much easier way to do division. Notice that  We say that c+ di and c- di are complex conjugates. To simplify a complex fraction, multiply the numerator and the denominator by the complex conjugate of the denominator. If z= a+ bi is a complex number and a and b are real, we say that a is the real part of z and that b is the imaginary part of z and we write  If z= a + bi is a complex number with real part a and imaginary part b, then we denote the complex conjugate of z by  The magnitude or modulus of a complex number z is denoted | z| and defined as  The Complex Plane In the same way that we think of real numbers as being points on a line, it is natural to identify a complex number z= a+ ib with the point ( a, b) in the cartesian plane. Expressions such as ``the complex number z'', and ``the point z'' are now interchangeable. We consider the a real number x to be the complex number x+ 0 i and in this way we can think of the real numbers as a subset of the complex numbers. The reals are just the x-axis in the complex plane. The modulus of the complex number z= a + ib now can be interpreted as the distance from z to the origin in the complex plane.  Since the hypotenuse of a right triangle is longer than the other sides, we have  for every complex number z. We can also think of the point z= a+ ib as the vector ( a, b). From this point of view, the addition of complex numbers is equivalent to vector addition in two dimensions and we can visualize it as laying arrows tail to end. (Picture) We see in this way that the distance between two points z and w in the complex plane is | z- w|. the ``Parallellogram law''  The ``Triangle'' inequality  The fundamental trigonometric identity (i.e the Pythagorean theorem) is  From this we can see that the complex numbers  are points on the circle of radius one centered at the origin. Think of the point  moving counterclockwise around the circle as the real number  moves from left to right. Similarly, the point moves clockwise if decreases. And whether increases or decreases, the point returns to the same position on the circle whenever changes by  or by  or by  where k is any integer. Exercise: Verify that  Exercise: Prove de Moivre's formula Now picture a fixed complex number on the unit circle  Consider multiples of z by a real, positive number r.  As r grows from 1, our point moves out along the ray whose tail is at the origin and which passes through the point z. As r shrinks from 1 toward zero, our point moves inward along the same ray toward the origin. The modulus of the point is r. We call the angle  which this ray makes with the x-axis, the argument of the number z. All the numbers rz have the same argument. We write  Just as a point in the plane is completely determined by its polar coordinates  , a complex number is completely determined by its modulus and its argument. Notice that the argument is not defined when r=0 and in any case is only determined up to an integer multiple of  . |
|
|
|
|
well, there is a "SCIENTIFIC SOCIETY" IN BANGALORE, GO N SERACH FOR IT ON THE NET
|
|
|
|
|
Baby's World by Rabindranath Tagore I wish I could take a quiet corner in the heart of my baby's very
own world.
I know it has stars that talk to him, and a sky that stoops
down to his face to amuse him with its silly clouds and rainbows.
Those who make believe to be dumb, and look as if they never
could move, come creeping to his window with their stories and with
trays crowded with bright toys.
I wish I could travel by the road that crosses baby's mind,
and out beyond all bounds;
Where messengers run errands for no cause between the kingdoms
of kings of no history;
Where Reason makes kites of her laws and flies them, the Truth
sets Fact free from its fetters.
|
|
|
|
|
|
|
 |
|
E-Store
