WHY POTATO CHIPS ARE CORRUGATED OR CURVED?

Take two empty soda-Pepsi cans. You can stand on them. They will easily bear your weight, even though their walls are paper thin. The curvature of the cans gives the strength.

Take an egg. Hold in your palm. Squeeze it as far as possible. You cannot break it. But, if you make a small dent in the shell, it will break. The egg is curved on both sides (lengthwise and breadthwise). Hence it is so strong.
A curved glass-blade has strength. So it is not damaged by heavy rains.
The curves are always used in constructions to give strength to the building. Arches, Domes, entrance etc.

You might have seen 'corrugated' cardboard box. They have an undulating wave of cardboard inside their walls. They are lightweight and thin. But they are stiff enough to resist bending under considerable loads. so once again, curves mean strength. We use corrugated metal sheets, fiber sheets for the same reason.

Coming to potato chips and Pringles; they are corrugated or curved. So they will not easily break. They also give crispiness and crunchy feeling when biting. It is said that these chips are designed using computers. Remember, chips are also curved on the top side and as well as the bottom side.
Note: Take Indian chappathi or Italian pizza. When you hold it, just fold it(curve it). In this way, they will stay stable, you can easily eat them.
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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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