A New Model of Projectile Motion for Resistance Proportional to Square of Velocity Components

Article Preview

Abstract:

A new model of the projectile motion for the resistance being proportional to the square of velocity components is investigated. In the course of the projectile motion, the direction of the resistance and the direction of the velocity are not entirely the opposite and on a straight line, in which the deviation angle exists. The size and the interrelation of velocity components determinate the size of the deviation angle, where deviation angles of some points take zeroes and another points take maximum values. The article makes deeply analysis for the new projectile model of velocity components, and gives interesting results.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1-7

Citation:

Online since:

November 2018

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2018 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] G.W. Parker, Projectile motion with air resistance quadratic in speed, Amer. J. Phys. 45(7) (1977) 606-610.

Google Scholar

[2] M.A.B. Deakin, G.J. Troup, Approximate trajectories for projectile motion with air resistance, Amer. J. Phys. 66(1) (1998) 34-37.

DOI: 10.1119/1.19023

Google Scholar

[3] J.C. Hayen, Projectile motion in a resistant medium Part I: exact solution and properties. Int. J. Non-Linear Mech. 38 (2003)357-370.

Google Scholar

[4] J.C. Hayen, Projectile motion in a resistant medium Part II: approximate solution and estimates . Int. J. Non-Linear Mech. 38 (2003) 371-378.

DOI: 10.1016/s0020-7462(01)00068-3

Google Scholar

[5] Y. Kazuki, Y. Mariko and T. Kazuhiro, An analytic solution of projectile motion with thequadratic resistance law using the homotopy analysis method. Journal of Physics A: Mathematical and Theoretical. 40(2007) 8403–8416.

DOI: 10.1088/1751-8113/40/29/015

Google Scholar

[6] Y. L. Min and C. Chen, projectile track under two kinds of air resistance models, Equipment Manufactring Tachnology, 12(2009) 15-17.

Google Scholar

[7] G.L. Son, Discussion on projectile trajectory of resistance being direct ratio to square of velocity , Journal of Linyi Teachers College, 12(3) (1997) 41-42.

Google Scholar

[8] Q.Yan and B.Li, Movement analysis of oblique tossed object with damping, Journal of Shihezi University(Natural Science), 22(6) (2004)522-524.

Google Scholar

[9] W. G. Li, Number analysis of projectile motion affected by the air resistance and the object mass, Journal of Guangxi Teachers Education University(Natural Science Edition), 23(2) (2006) 112-114.

Google Scholar

[10] C. H. Hao, The range projectile with air fraction, College Physics, 27(12) (2008)21-22.

Google Scholar

[11] X. P. Guo, The oblique projectile motion considering the air resistance being proportional to the velocity square, Physics Bulletin, 6(2007)63-66.

Google Scholar

[12] J. Benacka, Simulating Projectile Motion in the Air with Spreadsheets, Spreadsheets in Education, 3(2) (2009) 1-7.

Google Scholar

[13] A. M. A. El-SayedaH, M.NourbW, E.RaslanbE, et al., A study of projectile motion in a quadratic resistant medium via fractional differential transform method,Applied Mathematical Modelling, 3(2) (2015) 10-11.

DOI: 10.1016/j.apm.2014.10.018

Google Scholar