BET (BILLIARDS ENIGMATIC TOOLKIT)

Project Members:
1. Sandeep Singh Chadha(sschadha@iitk.ac.in)
2. Priyadarshi Panda(pdpanda@iitk.ac.in)
3. Priyanka Singh (spriya@iitk.ac.in)

OBJECTIVE

• The objective of this project is to make a two user billiards game with extensive application of laws of physics.
• The game provides a graphical billiards table window with three balls and a cue and actual billiards ball simulation.

RULES OF THE GAME

• The first player places the white ball on a black dot on the table and the red ball is placed inside a semi circular region.
• He has to hit the white ball always.The white one is his now.
• When the second player gets his chance,he places the yellow ball on the table on the black dot and now all three balls are in play.
• The second player can hit the yellow ball only with his cue.Its his his ball now.

POINTS SYSTEM

• If the player manages to put the red ball in the hole,he gets 2 points.This is called a pocket.
• If the player's ball hits the other two balls successively ,he gets 3 points.Called a Cannon.
• If the player's ball pods the other player's ball,he gets 1 point.But the 2nd player takes away his ball from the table until its his chance.
• If the player pods his own ball touching any other other ball in the way,he gets 1 point and he again places his ball on the black dot.
• In all other cases,the player gets no points and its the other player's turn.

SAMPLE INPUT AND OUTPUT

• The player moves the cue and hits the ball with a particular velocity in a particular direction.The window will show the movement of the ball and the collision with other balls.

PHYSICS BEHIND THE GAME:

• Conservation of linear momentum,conservation of kinetic energy during collision:
• mu1+mu2=mv1+mv2
• (1/2)mu1*u1 +(1/2)mu2*u2=(1/2)mv1*v1 +(1/2)mv2*v2
• Laws of reflection when the balls strike the boundaries:Angle of incidence=Angle of reflection.
• v=w*r where v is linear velocity of the ball,w is its angular velocity,r is its radius.
• v=v(0)-a*t
• w=w(0)-a*t/r
• a=frictional force/mass

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