mstram
30th Jun 2003, 00:53
I realize this is not aviation related, but I know there are a lot of very smart people here, so I thought I would try asking here :)
I'm an avid golfer, and have been reading up on the physics of
the swing, and ball clubface contact. I realize that the a golf
shot is a pretty complex event, but I'm trying to start with something a bit more simple <g>.
I'm trying to mathematically model a ball bouncing on a lever, with the pivot in the middle of the lever.
I'd like to calculate how high the ball would initially bounce,
depending on the ball hitting the lever at various distances from the pivot.
If it makes the calculations simpler, we can assume that that lever does *not* move around the pivot at the moment of impact. The focus being on how much energy is transferred between the ball and the lever, and not on any angles of the collision. I guess what I'm thinking is how the ball hitting other than the "centre of mass/gravity" of the lever
affects the resulting bounce.
I've been reading up, and have picked up "bits and pieces" of knowledge, just trying to piece them all together <g>.
Here's what I (think), that I know <g>:
1) The lever has a "moment of inertia", which wil influence
how quickly the lever will move when struck by the ball.
2) The lever has a "center of gravity/mass" which will affect the
amount of energy that is tranferred to the bouncing ball. The more "off centre" the ball hits, the less energy that will be transferred.
3) Greater speed or mass of the ball will affect the resulting speed that the lever moves, and the resulting bounce.
4) Greater mass of the lever will increase its moment of inertia, slow down it's speed, reduce the amount of energy lost by the ball.
4) When the lever moves, a "moment" will be introduced, the size of which depends on the lever's "moment of inertia".
5) There is a mathematical relationship between the lever's moment and its angular velocity.
6) From the moment or angular velocity of the lever, the amount of energy transferred between the ball / lever can be calculated.
7) Conservation of momentum will influence the energy transfer between the ball and the lever.
Thx for any info.
Mike
I'm an avid golfer, and have been reading up on the physics of
the swing, and ball clubface contact. I realize that the a golf
shot is a pretty complex event, but I'm trying to start with something a bit more simple <g>.
I'm trying to mathematically model a ball bouncing on a lever, with the pivot in the middle of the lever.
I'd like to calculate how high the ball would initially bounce,
depending on the ball hitting the lever at various distances from the pivot.
If it makes the calculations simpler, we can assume that that lever does *not* move around the pivot at the moment of impact. The focus being on how much energy is transferred between the ball and the lever, and not on any angles of the collision. I guess what I'm thinking is how the ball hitting other than the "centre of mass/gravity" of the lever
affects the resulting bounce.
I've been reading up, and have picked up "bits and pieces" of knowledge, just trying to piece them all together <g>.
Here's what I (think), that I know <g>:
1) The lever has a "moment of inertia", which wil influence
how quickly the lever will move when struck by the ball.
2) The lever has a "center of gravity/mass" which will affect the
amount of energy that is tranferred to the bouncing ball. The more "off centre" the ball hits, the less energy that will be transferred.
3) Greater speed or mass of the ball will affect the resulting speed that the lever moves, and the resulting bounce.
4) Greater mass of the lever will increase its moment of inertia, slow down it's speed, reduce the amount of energy lost by the ball.
4) When the lever moves, a "moment" will be introduced, the size of which depends on the lever's "moment of inertia".
5) There is a mathematical relationship between the lever's moment and its angular velocity.
6) From the moment or angular velocity of the lever, the amount of energy transferred between the ball / lever can be calculated.
7) Conservation of momentum will influence the energy transfer between the ball and the lever.
Thx for any info.
Mike