25. Constraints from R_head vs. R_bullet—SL7A

    Of the various combinations of two variables that can be used to investigate constraints on the variables, the best seems to be R_bullet and R_head. The reason seems to be that they "activate," or change, more of the variables than do other combinations. This allows more constraints to be invoked and "tightens the noose" on the allowable answers to the maximum extent.
    These two variables can be used with Snap/Lurch 6A or Snap/Lurch 7A. The latter appears to have more constraining power than the former, in part because it solves for PE, which has good constraining power. This is the reason we begin with Snap/Lurch 7A and then proceed to 6A. It will be seen that both simulations provide similar constraints on the answers. This gives us confidence that the constraints represent general features of the system.
    This section presents the constraints separately for masses of the head ranging from 5 lb to 10 lb. The last part summarizes the constraints for these different conditions. There it can be seen that the constraints, particularly for the lurch, are essentially independent of the mass of the head. Most importantly, the allowed speeds of the lurch are all negative and close to the observed value of about -0.8 ft s^-1.

For m_head = 5 lb
For m_head = 6 lb
For m_head = 7 lb
For m_head = 8 lb
For m_head = 9 lb
For m_head = 10 lb
Summary of allowed values

Ahead to Constraints from Rhead and Rbullet, SL6A
Back to Intro to Constraints
Back to Physics of the Head Shot