Locus of the apices of projectile trajectories under constant drag

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 plan...

Full description

Saved in:
Bibliographic Details
Published in:European journal of physics 2017-11, Vol.38 (6), p.65006
Main Author: Hernández-Saldaña, H
Format: Article
Language:English
Subjects:
Coulomb friction
dissipation
exact results
non-Newtonian fluid
projectile motion
yield stress
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0143-0807
1361-6404
DOI:10.1088/1361-6404/aa8c40