- #1
DeadEyeWilly
- 2
- 0
Here is my problem.
A rod spinning about it's cg of angular speed omega. So there is no linear momentum, I believe that's correct. Just angular momentum. A ball, v_i = 0, impact the rod at radius, r. The coefficient of restitution is e. How do I use this to find the final velocity of the ball? I tried saying
e = (v_f-r*omega_f)/(vi-r*omega_i)
and conservation of momentum:
Irod*omega_i = Irod*omega_f + m_ball * v_f * r
but I don't think the coeff. of restitution equation is correct. I don't think you can say the tip speed slows by this much. Perhaps in a golf swing analysis where you have a large mass at radius r moving basically linearly you can say this but not with a spinning rod.
Thoughts?
A rod spinning about it's cg of angular speed omega. So there is no linear momentum, I believe that's correct. Just angular momentum. A ball, v_i = 0, impact the rod at radius, r. The coefficient of restitution is e. How do I use this to find the final velocity of the ball? I tried saying
e = (v_f-r*omega_f)/(vi-r*omega_i)
and conservation of momentum:
Irod*omega_i = Irod*omega_f + m_ball * v_f * r
but I don't think the coeff. of restitution equation is correct. I don't think you can say the tip speed slows by this much. Perhaps in a golf swing analysis where you have a large mass at radius r moving basically linearly you can say this but not with a spinning rod.
Thoughts?