Table Top Physics - Snooker/pool

Dynamics of rotating objects is not always intuitive, therefore it is a good idea to do some thought experiments to help understanding what is happening.

snooker table

How is spin transferred between Snooker balls?

At first sight this seems relatively simple, imagine that the cue ball (on the right) is moving with simple rolling motion, its angular momentum is therefore related to its linear motion.

before collision of two snooker balls

It then hits the stationary object ball and an impulse is transferred between them.

during collision of two snooker balls

After the collision the cue ball is stationary and the object ball moves to the left with rolling motion.

after collision of two snooker balls

Since the object ball is moving in the same way as the object ball was then both linear and angular momentum are conserved then there would appear to be no problem.

However I think its worth investigating this more carefully. How is the angular momentum transferred between the balls? To transfer angular momentum in a collision we need two impulses which are not in line. However the tenancy would be to put backspin rather than forward spin on the object ball, for instance, if the cue ball is spinning in an anti-clockwise direction and is in contact with the object ball then it would tend to turn the object ball in a clockwise direction.

snooker collision

So why doesn't this happen? why does the object ball spin in the same direction even though the one of the faces of the balls will be going up and the other will be going down?

For further discussion of this question see this page.


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cover 3d Games: Physics -

 

cover Game Physics - This book has some useful stuff, its more of a textbook, not a step by step guide (although it does have a disc with a lot of C++ code). About the first third of the book is a physics textbook with theoretical exercises, the middle bit covers physics engine topics, and the last third of the book covers mathematical topics. I think I would use this book as a reference book to lookup the theory behind something I might be working on rather than a book to work through in order.

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cover Dark Basic Professional Edition - It is better to get this professional edition

cover This is a version of basic designed for building games, for example to rotate a cube you might do the following:
make object cube 1,100
for x=1 to 360
rotate object 1,x,x,0
next x

cover Game Programming with Darkbasic - book for above software

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