Oscillatory motion is a main topic in physics at all levels of undergraduate courses. In this work, we study the damping of a bar acting as a physical pendulum subjected to air drag.
The magnetic field reorientation of an initially aligned sample of a nematic polymer liquid crystal was followed by proton NMR. Evolution to a metastable (banded) state was considered using a Rheo-NMR technique developed previously. Late stage reorientation was studied by taking into account the dynamics of defects following the formation of splay-bend walls. NMR spectra simulation allowed us to obtain the wall density as a function of time. This result, together with a defectcontrolled wall dissolution model proposed by Rey [ 11, was used to complement the Rheo-NMR technique of measuring the viscoelastic parameters of nematic polymer liquid crystals.
A detailed analysis of pendular motion is presented. Inertial effects, self-oscillation, and memory, together with non-constant moment of inertia, hysteresis, and negative damping are shown to be required for the comprehensive description of the free pendulum oscillatory regime. The effects of very high initial amplitudes, friction in the roller bearing axle, drag, and pendulum geometry are also analyzed and discussed. A model consisting of a fractional differential equation fits and explains high resolution and long-time experimental data gathered from standard action-camera videos.
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