C2 = Wk22 + W′k′2 = (W + W′ε) k22,
(3)
in which we have put k′2 = εk2, where ε is a numerical factor depending on the shape.
If the shot is spinning about its axis with angular velocity p, and is preceding steadily at a rate μ about a line parallel to the resultant momentum F at an angle θ, the velocity of the vector of angular momentum, as in the case of a top, is
C1pμ sinθ − C2μ2 sin θ cos θ;
(4)
and equating this to the impressed couple (multiplied by g), that is, to
| gN = (c1 − c2) | c1 | u2 tan θ, |
| c2 |
(5)