- #1
greg_rack
Gold Member
- 363
- 79
- Homework Statement
- DIAGRAM ATTACHED BELOW:
Determine the height ##h## of the bumper of
the pool table, so that when the pool ball
of mass ##m## strikes it, no frictional force
will be developed between the ball and
the table at A. Assume the bumper exerts
only a horizontal force on the ball.
- Relevant Equations
- Conservation of momentum, planar rigid body kinetics
Hello guys,
could someone give me a small hint to get me started on attempting this problem? I really cannot figure out how to relate conservation of momentum to the fact that there shouldn't be friction... does it have something to do with the so-called "sweet spot" of the ball?
But then, where's the correlation with ##L##.
With the latter, the only thing I can come up is, with subscript ##_i## for init. conditions:
$$F_{bumper}\Delta t +F_{friction}\Delta t_2=mv_{Gi} \rightarrow
F_{bumper}\Delta t=mv_{Gi}$$
... but it doesn't seem to take me anywhere
