exactly right!
Mike,
You are exactly right about the balls damaging each other, wrong about about ball to ball hits and tip to ball hits having the same contact area. The balls should damage each other, and do. Every time a ball hits another one with any speed at all the two balls flex and snap back and tiny pieces of each ball break off. That is why old cue balls are the smallest and lightest balls on the table if they matched the numbered balls to begin with.
Now lets consider an equally hard material(the tip) with a smaller contact area and tighter radius: It also has much more effective mass when mounted on a cue and held in someone's hand.
If we had the same force in a smaller contact area the tip would deform the cue ball more than another ball does. The greater the deformation, the greater the damage. Add that we have much greater force transfer from a tip than from another ball and that adds to deformation and damage.
I said earlier that you were shooting yourself in the foot in this thread.
Hu
The way you are explaining it then the balls should damage each other. The same amount of contact area between the balls and the the tip on the balls. When a cue ball is sent at the one ball at 25mph it should damage it because it is harder than my material.
Mike,
You are exactly right about the balls damaging each other, wrong about about ball to ball hits and tip to ball hits having the same contact area. The balls should damage each other, and do. Every time a ball hits another one with any speed at all the two balls flex and snap back and tiny pieces of each ball break off. That is why old cue balls are the smallest and lightest balls on the table if they matched the numbered balls to begin with.
Now lets consider an equally hard material(the tip) with a smaller contact area and tighter radius: It also has much more effective mass when mounted on a cue and held in someone's hand.
If we had the same force in a smaller contact area the tip would deform the cue ball more than another ball does. The greater the deformation, the greater the damage. Add that we have much greater force transfer from a tip than from another ball and that adds to deformation and damage.
I said earlier that you were shooting yourself in the foot in this thread.
Hu