The Dynamics of the Airplane

Cover The Dynamics of the Airplane
The Dynamics of the Airplane
Kenneth P Kenneth Powers Williams
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Then since wf(s) Q/S is increasing, and both terms on the right-hand side of the second equation are initially zero, we see from that equation that d must increase. Hence >o. But this evidently contradicts ds the first equation.
36 THE DYNAMICS OF THE AIRPLANE Suppose next that in the interval considered w is decreasing, and therefore negative, since it is initially zero. The second term on the right of the second equation will be >o in the interval, so that we must have tan 0O. There is ds the
...refore again a contradiction.
It follows that throughout the interval we must have w = o. Therefore = af(s) It also follows that 6 = constant = tan" 1 -.
We see that the initial conditions that we have assumed are maintained throughout the interval o = s = s', and therefore by a process of continuation will be maintained throughout the motion. Therefore rectilinear motion will assuredly result from the initial conditions and the value of the traction that we have assumed.


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