TITLE:
Electrified Bow and Arrow
AUTHORS:
Haiduke Sarafian
KEYWORDS:
Bow and Arrow, Electrostatic Interaction, Computer Algebra System, Mathematica
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.12 No.3,
September
26,
2022
ABSTRACT: We consider an electrostatic bow and arrow both charged positively. The
bow is circular and horizontal the massive arrow is vertically aligned with the
bow’s symmetry axis with its head up. The arrow is released freely, the
electrically charged ring repels the arrow and the gravity slows its uprise.
The mass, length, and charge of the arrow as well as the size of the ring and
its charge adjusted making the arrow oscillate up and down. The kinematic and
dynamic quantities of the oscillations are calculated, and the relevant phase
diagrams are depicted. In pursuing these goals, a
Computer Algebra System (CAS) specifically Mathematica [1] is used. Among various scenarios, the case of a charged ring and a point
charge is discussed.