Bulletin of the American Physical Society
2018 Joint Spring Meeting of the Texas Sections of APS, AAPT, and Zone 13 of the SPS
Volume 63, Number 8
Thursday–Saturday, March 22–24, 2018; Stephenville, Texas
Session B4: APS II - General Physics |
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Chair: Bimal Pandey, Tarleton State University Room: Science 102 |
Friday, March 23, 2018 12:15PM - 12:27PM |
B4.00001: Modeling Sensitivity to Initial Conditions of Rotational Dynamics Joseph Gutheinz, Madeline Carter, James Clarage Classical Dynamics, although simplistic in its elegance, has posed countless questions, many of which have yet to be answered. One such problem pertaining to this sub-field of Physics begs the simple question: why does a book wobble erratically in flight when rotated in the presence of drag forces? In light of this phenomenon, our research group has conducted research concerning the nature of a parallelepiped's rotation in three-dimensional space, including the integration of dynamic drag effects and the manipulation of initial conditions to plot the motion of a book-shaped object in space. This model was then compared to accelerometer data we collected from a sensor-enabled Pasco Smart Cart with identical geometry to the computational model. Comparison with our experimental data sets ultimately led to the development of a realistic computational model for the motion of a parallelepiped in three-dimensional space, further explaining the erratic motion of a book-shaped object in flight. Additionally, this model has proven to be a potential instance of chaotic motion as a result of drag forces upon a rigid, rotating body in space, as exhibited by unexplained perturbations in the latest computational models upon changing the initial kinematic parameters for the object. [Preview Abstract] |
Friday, March 23, 2018 12:27PM - 12:39PM |
B4.00002: On the Motion and Stability of a Cube Balanced on a Cylinder Andre Guimaraes This paper deals with different approaches of analyzing the motion and stability of the problem of a cube balanced on top of a cylinder. The problem is one that’s first introduced to students in early classes of analytical mechanics.The purpose of this paper is to further explore the problem, both for self-teaching and educational purposes.\newline The problem is presented along with the generic approach used to describe its stability using energetics. The stability of the system is thoroughly explored, and the precision of different Taylor Expansions used to solve the non-linear equation yielded. There is an exploration of the ratio between the half-side of the cube and radius of the cylinder, to yield both no stability and continuous stability for a certain angle range. Secondly, the paper presents a derivation of the differential equation describing the oscillations of the cube on top of the cylinder using Lagrangian mechanics, and performs a numerical analysis on the movement, since the equation cannot be solved analytically. [Preview Abstract] |
Friday, March 23, 2018 12:39PM - 12:51PM |
B4.00003: Design of an SFA Shock Tube Facility. Connor O'Leary A shock tube facility is being designed and constructed at Stephen F. Austin State University for use in gas dynamics and chemical kinetics research. It will be implemented in a newly-constructed Ed {\&} Gwen Cole STEM building on campus. The concept was modeled and tested using computer aided design software and is intended to be modular to allow for modifications during future experiments. The apparatus is designed to withstand pressures of up to 100 atm behind the reflected shock region where experiments will occur. Test temperatures will be between 600 -- 2500 K and the facility will be outfitted to test oxidation and pyrolysis of low vapor pressure fuels for next generation applications. A majority of the components will be constructed on site in the Department of Physics, Engineering, and Astronomy machine shop. [Preview Abstract] |
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