ninjakannon

I'm trying to work out an equation for the contact time of a bouncing ball and am completely stuck, but I'll explain my thoughts and we'll see where we get. An equation isn't really necessary, but a rough idea of how certain factors affect the contact time would be very useful.

Obviously, the contact time depends on a whole load of factors. I'm ignoring deformations of the surface the ball lands on, assuming that it is rigid, immovable and completely horizontal. When the ball lands it will compress slightly, a wave would travel through the ball, reach its top, and reflect back downwards. This would cause the ball to exert a force on the ground and it would bounce back upward.

But how long does this take? If the ball collides with a greater velocity, I assume the amplitude of the wave through the ball would be greater. Would this wave always have a constant speed (that I assume would then be dependant on the density of the ball) despite varying contact velocities?

Thanks for any help on this one.

Obviously, the contact time depends on a whole load of factors. I'm ignoring deformations of the surface the ball lands on, assuming that it is rigid, immovable and completely horizontal. When the ball lands it will compress slightly, a wave would travel through the ball, reach its top, and reflect back downwards. This would cause the ball to exert a force on the ground and it would bounce back upward.

But how long does this take? If the ball collides with a greater velocity, I assume the amplitude of the wave through the ball would be greater. Would this wave always have a constant speed (that I assume would then be dependant on the density of the ball) despite varying contact velocities?

Thanks for any help on this one.