Billiards with rectangular prisms

[MenhirMetonym]

Homework Statement

Consider a rectangular prism struck by a cue, what are the resulting dynamics if the object has two continuous mass distributions and the base height is longer than the top height?

Relevant Equations

Impulse, Torque, Total Energy, and Euler-Lagrange.

I plan to add on to this as I have time and ability. Apologies for the weird formatting.

 

[member38644]

No need to apologize for the formatting, we're all here to share our ideas and improve together! Your idea of using rectangular prisms for a game of billiards is quite interesting. It would definitely add a new twist to the traditional game. I can imagine the challenge of calculating the angles and trajectories of the balls bouncing off the different edges of the prisms.

I'm curious to know how you plan on incorporating the rectangular prisms into the game. Will they serve as the pockets or will they be used as obstacles on the table? Either way, it would definitely require some strategic thinking and precise aiming skills.

I also think it would be great to see different sizes and shapes of rectangular prisms used in the game. This would add another layer of complexity and make it even more challenging. And as you mentioned, adding on to this idea with more time and ability would definitely make it even more exciting.

Overall, I think incorporating rectangular prisms into billiards is a unique and creative idea. I look forward to seeing how you develop it further and potentially trying it out myself. Keep exploring and experimenting, that's how great ideas are born!