YOU CANNOT EITHER STOP THE EARTH OR TURN A BIKE

All the physical bodies have a property called 'inertia' according to the Newton's first law. That is, a body which is moving in straight line; a body that is rotating or a body at rest, will not change its state easily. It will try to keep on doing what it is doing. Even it will hesitate to change its direction. For humans, inertia can be called laziness. A man finds it is difficult to change his altitude, ideas, work, character.
A giant wheel that is rotating cannot be stopped all of a sudden. It requires great effort and long time.
We are exploding atom bombs now and then, earth gets tremors and earthquake now and then. Did they disturb the rotation of the earth in any way. No, not at all. The earth is huge and heavy. It is rotating at the speed of 1000 km per hour. Heavier the body, greater the inertia. Hence the man made forces is not able to affect the motion of earth. The explosion of atom bomb is like a small prick to the earth at present.
A motor bike is heavy. But a bicycle is not so much heavy. Say, you are riding a motor bike at a high speed, if you turn your bike towards left, the inertia will oppose the direction change and consequently it may slightly turn towards right. This may cause accidents. Hence do not ride the bike at high speed. Car also has the same problem. But it is solved with clever design-ABS brake system.
Now we understand, the inertia is responsible for all the uninterrupted celestial motions.

A train is long and massive. Starting and stopping the train is costly affair-energy wise. We know it is due to inertia. Similarly, landing and taking-off a airplane requires a lot of energy and effort.
Keeping a vehicle in steady motion requires less energy. But to control the vehicle, turning, speeding up, slowing down, stopping , - requires a lot of energy to overcome the inertia.
Have 'moving inertia' in your body and not 'resting inertia'.
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LISSAJOUS FIGURES

Definition: "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures". We know sine wave motion and circular motion is basically same. Hence we draw two circles A and B perpendicular to each other. The circle B rotates twice faster than circle A. That is, frequency of circle B is two times than that of A. A particle at the intersection of two circles is subjected to two sine wave motion A and B at 90 degree simultaneously. The particle will describe figures depending on the frequency and phase of A and B . In our case, the ratio of frequency is 1:2 and the two waves are in phase. To draw lissajous figures : A moving point in both the circles are chosen. Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two. Hence the points are marked on the circles according to their speed. Then straight lines

THE PARABOLA

A jet of water shooting from a hose pipe will follow a parabolic path. What is the so special about parabola. Y= x^2 Draw a graph for the above equation. It will result in a parabola. This parabola is also called unit parabola. Any equation involving square will yield a parabola. Example: Y = 2x^2 +3x+3 (also called quadratic equation) X= 2 and -2, both satisfies the equation 4 = X^2. Parabolic equations always have two solutions. Any motion taking place freely under gravity follows parabolic path. Examples: An object dropped from a moving train, A bomb dropped from flying plane, A ball kicked upwards. If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point. This fact is made use of in Dish Antenna, Telescope mirrors, etc. Inverted parabola shape is used in the construction of buildings and bridges. Because the shape is able to bear more weight. A plane

CASINO'S GAME

Let us find out how the casino survives with mathematics. Say, your friend invite you for a game of dice. You must bet (wager) 2 dollars. If you roll 'six' you will get back 8 dollars. The game will go on for 30 rounds. All sounds good. The probability of rolling 'six' is 1/6. Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5. That is, you are expected to win 5 rounds out of 30. Hence your gain will be 5 * 8 =40 dollars. ok. This also implies that you will loose 25 rounds. Hence your loss will be 25*2 =50 dollars. Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars. There will be a loss of -1/3 or 0.33 dollars per round. It is not a fair game. Let us make a simple formula to calculate 'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect

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