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Discovering the Generalized Equations of Motion

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Author(s): Pramode Ranjan Bhattacharjee

Journal: Eurasian Journal of Physics and Chemistry Education
ISSN 1306-3049

Volume: 3;
Issue: 1;
Start page: 14;
Date: 2011;
Original page

Keywords: Kinematics | Velocity | Acceleration | Displacement | Uniform Acceleration | Vector Algebra | Unit Vector | Vector Calculus

ABSTRACT
This paper is concerned with the development of some novel formalisms falling within the purview of classicalmechanics. It reports on the discovery of a set of generalized equations of rectilinear motion. The ingenuitybehind the present discovery lies in the novel thought of considering the velocity, acceleration and displacementvectors to be in arbitrary directions unlike the long running techniques of derivation of the traditional equationsof kinematics in which all the aforesaid vectors are assumed to be in parallel directions. The generalizedformalisms developed are self sufficient in respect of solving real world problems of classical mechanics andwith the aid of their help, the need of using the ambiguous sign convention for solving typical problems ofkinematics by traditional equations of rectilinear motion could be dispensed with. Furthermore, by using thegeneralized equations of motion discovered, projectile motion can be dealt with satisfactorily without goingthrough the traditional technique of decomposition of relevant vectors along horizontal and vertical directions.
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