What is Cog: Definition and 24 Discussions

Chess is a recreational and competitive board game played between two players. It is sometimes called Western or international chess to distinguish it from related games such as xiangqi. The current form of the game emerged in Southern Europe during the second half of the 15th century after evolving from similar, much older games of Indian and Persian origin. Today, chess is one of the world's most popular games, played by millions of people worldwide at home, in clubs, online, by correspondence, and in tournaments.
Chess is an abstract strategy game and involves no hidden information. It is played on a square chessboard with 64 squares arranged in an eight-by-eight grid. At the start, each player (one controlling the white pieces, the other controlling the black pieces) controls sixteen pieces: one king, one queen, two rooks, two knights, two bishops, and eight pawns. The object of the game is to checkmate the opponent's king, whereby the king is under immediate attack (in "check") and there is no way for it to escape. There are also several ways a game can end in a draw.
Organized chess arose in the 19th century. Chess competition today is governed internationally by FIDE (International Chess Federation). The first universally recognized World Chess Champion, Wilhelm Steinitz, claimed his title in 1886; Magnus Carlsen is the current World Champion. A huge body of chess theory has developed since the game's inception. Aspects of art are found in chess composition; and chess in its turn influenced Western culture and art and has connections with other fields such as mathematics, computer science, and psychology.
One of the goals of early computer scientists was to create a chess-playing machine. In 1997, Deep Blue became the first computer to beat the reigning World Champion in a match when it defeated Garry Kasparov. Today's chess engines are significantly stronger than even the best human players, and have deeply influenced the development of chess theory.

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  1. P

    I Finding the Axis of Rotation with Given CoG and Force Point

    [Mentor Note: See post #10 below for an updated problem statement using LaTeX and with a better drawing] what i want is to find the axis of rotation when the centre of gravity and point on which external force is acting is given along with the magnitude and direction of force. In the example...
  2. S

    VTOL RC Airplane Tricopter COG, Liftoff Weight Calculations

    Hello, I am interested in making an RC plane as illustrated. Some questions: 1. Given that the build material of the plane will be 3d printed out of PLA and I want the wingspan to be between 1.2m - 1.35m ideally. How can I calculate the minimum wingspan/wing shape/wing area to carry a payload...
  3. G

    A COG calculation of diffracted spots on a camera

    Hi all, I will like to simulate diffracted spots at least two spots, on a camera. I will be glad if someone can help out with a code. below are the details required: camera pixel size = 4um (each pixel can be sub divided for better calculation), gap size = 100nm, camera length = 4000 x 4000...
  4. S

    Mounting Arm Torque for Short Throw Projectors on Different Walls

    Hi there, I'm going to install same kind of short throw projector in multiple locations, with different wall materials. Projector has integrated wall mount arm (see picture). - How to calculate total torque affecting mounting plate top row screws? Some locations have plasterboard walls...
  5. Ripcord96

    How to approach the design for a boat step by step?

    Two pontoon boat design approach and how to find center of gravity, center of buoyancy, buoyancy, volume of displacement, meta center, meta centric height. I need to know is there a different approach to designing dual hulled boat than a single hulled boat and all the formulas and examples I...
  6. Greg2

    How to calculate how a weight added to the top of a sailboat mast affects COG

    I'm in the process of purchasing a sailboat for open ocean cruising and would like to understanding how a mass (say 1kg) mounted at the top of the mast affects the center of gravity, assuming that the COG is at a known location relative to the waterline.
  7. N

    How distance from CoG affects acceleration over time

    Let's say an object is falling towards Earth from a long distance away. As it gets closer and closer, the acceleration would increase, inversely proportional to the distance squared. Is there any way I can graph this on an acceleration/time graph, or a distance/time graph? The challenge is...
  8. Kushwoho44

    Collisions Question: Moment whilst force acts through CoG

    Homework Statement EDIT: DO NOT READ. I SOLVED IT.[/B] The collision in this problem acts at point C and acts a purely horizontal force in the inertial frame of reference. Homework Equations The Attempt at a Solution I understand the maths that is at work here, when we resolve the force...
  9. L

    Unlocking the Mystery of Center of Gravity (CoG) and Center of Mass (CoM)

    Hello everyone, Since yesterday I'm struggling with concept of CoG and of course in CoM. The problem is that I don't understand why lower to the ground CoG is more stable then CoG more off the ground. On the internet there is batch of information about that but nobody explained it by momentum...
  10. R

    Vehicle COG comparison for longitudinal rollover

    Hi I am trying to compare which of the (2) models has the greatest stability longitudinaly. I have the COG height and longitudinal (axle split) Model A has it COG closer to the centre of the axles (longitudinal - further from rear axle 1,487l) but sits much higher (2,537 above axle centre) Model...
  11. B

    Box stability calculation

    Ok I know this should be easy but it's been a few years since my physics lessons at college and I'm stumped. I work in packaging. I'm working on a tool that will tell me if a box will fall over when it is subjected to an edge drop test. That means that a block is placed under one edge of a box...
  12. S

    F = MA 2010 Exam # 24 (MoI after shift in CoG)

    Homework Statement http://www.aapt.org/physicsteam/2010/upload/2010_FmaSolutions.pdf See Number 24Homework Equations CoM = M1x1 + M2x2 / (M1+M2) MOI_disk: 1/2mr^2 The Attempt at a Solution So what I was thinking was find the new CoM then use the parallel-axis theorem. To find the new CoM: MsXs...
  13. H

    Find the COG of two cubic curves

    The first part of the question asks to find the COG of the curve y=[1-x]*x^2 in the interval x=0 to x=1 I found that correctly as (0.6,0.0571) The next part asks to find the COG of another cubic curve y=x[1-x]^2 But without using integration but by using the result of the first part of...
  14. S

    Biomechanics - CoG and projectile motion

    Two basketball players jump for the ball. Both players have exactly the same mass and exactly the same body segment dimensions. Both players also take-off with exactly the same vertical and horizontal velocity of their center of gravity (CoG). Player A jumps up and reaches for the ball with both...
  15. B

    Translational equillibrium calculation when forces acting not at COG

    I have a question about translational equilibrium. Consider a 3m by 3m sheet on the x-y plane. The center of mass is at the origin. Force-1 of 10 N acts on the top left corner of the sheet and points left. Force-2 of 20 N acts on the bottom right corner of the sheet and is directed...
  16. R

    Moment of Intertia for changing COG

    Hi all, I've got a 3d object modeled in Pro/Engineer with a tail. The tail can change position to some angle theta with respect to the ground. I have created a closed form solution to determine the location of the center of gravity at any angle theta. The problem is with the moment of...
  17. S

    Energy made available by Change in CoG

    I would like to discuss a physics problem. It's not homework or coursework. It's just an area of interest. I know there are models with which one may calculate a center of gravity for different 2d or 3d objects.. and .. I know that there are models to calculate available energy.. but I...
  18. M

    Ambiguity in defining CoG,

    Consider the body shown below Now, if G be the centre of gravity (or centre of any parallel uniformly distributed body force), then we define its position by equating the moment of total weight by moments of elemental weights about the same point i.e. \vec{r_{G}}\times W...
  19. S

    Why don't race bikes have a high CoG?

    It seems to me that motorbikes are built to have a low centre of gravity. I can understand this, having dropped mine twice. Once it gets away from you, there's no stopping it, and having a low CoG helps to make the bike easier to handle in the garage. However, once you're riding it, then...
  20. N

    Maximizing Dice Fairness: Examining Symmetry and Center of Gravity

    A classic die is six sided with pips of equal depth. It seems to me that if it is perfectly symmetrical and the sides are in the classic configuration (opposite sides total 7) the center of gravity will not be in the center of the cube. Correct? Has anyone ever tried to figure out where it is...
  21. S

    Oval Front Cog in Tour de France: Rumor or Fact?

    this is just hearsay from another engineer but i guess there is a guy in the Tour de France right now that is using an oval front cog for more downstroke power, and for an easier upstroke. has anyone here heard of this? i can't seem to find anything more on it also would there be...
  22. Math Is Hard

    Any cog sci people in the house?

    I'm interested in hearing from people who have either majored in Cognitive Science, or have taken Cognitive Science courses. This is a very interdisciplinary field, and I would like to know what your primary interest (or area of focus) in studying Cog Sci was. I would also like to know how you...
  23. A

    Honda's The Cog - A Physicsy Ad

    Honda's "The Cog" Honda has put out a really amazing ad - and it's physicsy! have a look! http://physics.about.com/cs/mechanics/v/070603.htm