1. Locus of the apices of projectile trajectories under constant drag.
- Author
-
H Hernández-Saldaña
- Subjects
- *
PROJECTILES , *COULOMB friction , *ENERGY dissipation , *VELOCITY , *COPLANAR waveguides - Abstract
Using the hodograph method, we present an analytical solution for projectile coplanar motion under constant drag, parametrised by the velocity angle. We find the locus formed by the apices of the projectile trajectories, and discuss its implementation for the motion of a particle on an inclined plane in presence of Coulomb friction. The range and time of flight are obtained numerically, and we find that the optimal launching angle is smaller than in the drag-free case. This is a good example of a problem with constant dissipation of energy that includes curvature; it is appropriate for intermediate courses of mechanics. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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