Problem of Billiards

  • Thread starter ehrenfest
  • Start date
1,994
1
1. The problem statement, all variables and given/known data
Show that the edge (cushion) of a billiard table should be at a height of 7/10 of the diameter of the billiard ball in order that no reaction occurs between the table surface and the ball when the ball strikes the cushion.


2. Relevant equations



3. The attempt at a solution
I am not entirely sure what this problem is asking me to show. Should I assume the collision is perfectly inelastic? Should I assume that the ball is initially rolling without slipping? Should I assume that the ball rolls without slipping after the collision? Do I assume that the collision is instantaneous?
 

pam

455
0
1. Collision is perfectly elastic.
2. No slipping.
3. Instantaneous.
Draw an FBD of the ball in contact with the edge and the table.
Use Fdt=dP, and Torque dt =dL to relat H to R.
 
1,994
1
Thanks. I completed the problem and you do not even need to assume that the collision is instantaneous (as long as the force is constant).
 

Want to reply to this thread?

"Problem of Billiards" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Top Threads

Top