Combining Laws of Mechanics and Hydrostatics in Non-Inertial Reference Frames

Authors: M. Blokh

Abstract:

Method of combined teaching laws of classical mechanics and hydrostatics in non-inertial reference frames for undergraduate students is proposed. Pressure distribution in a liquid (or gas) moving with acceleration is considered. Combined effect of hydrostatic force and force of inertia on a body immersed in a liquid can lead to paradoxical results, in a motion of pendulum in particular. The body motion under Stokes force influence and forces in rotating reference frames are investigated as well. Problems and difficulties in student perceptions are analyzed.

Keywords: Hydrodynamics, mechanics, non-inertial reference frames, teaching.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1338404

References:

[1] Aleshkevich C., Didenko L., Karavaev C., Rigid Body Mechanics, The lectures. Publishing house of Physical faculty of Moscow state University, pp. 28 – 34, 1997.
[2] Berkeley Physics Course, vol.1, Mechanics (2nd ed.), pp. 102 – 113, 1973.
[3] Shapiro I. L., de Berredo-Peixoto Guilherme, Lecture Notes on Newtonian Mechanics, Lessons from modern concepts, Springer, pp. 64 – 65, 2013.
[4] Ryder P, Classical Mechanics, Shaker Verlag, pp. 78 – 85, 2007.
[5] Einstein A. The Cause of the Formation of Meanders in the Courses of Rivers and of the So-Called Baer’s Law, Die Naturwissenschaften, 14 (11), pp. 223 – 224, 1926.
[6] http://io9.com/prepare-to-have-your-mind-blown-by-a-balloon-and-amini- 1565303363.