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C. Medina - One of the best experts on this subject based on the ideXlab platform.

  • Experimental Control of Simple Pendulum Model
    Science Education, 2004
    Co-Authors: C. Medina
    Abstract:

    This paper conveys information about a Physics laboratory experiment for students with some theoretical knowledge about oscillatory motion. Students construct a Simple Pendulum that behaves as an ideal one, and analyze model assumption incidence on its period. The following aspects are quantitatively analyzed: vanishing friction, small amplitude, not extensible string, point mass of the body, and vanishing mass of the string.

  • Experimental Control of Simple Pendulum Model
    Science & Education, 2004
    Co-Authors: C. Medina
    Abstract:

    This paper conveys information about a Physicslaboratory experiment for students with some theoretical knowledge about oscillatory motion. Students construct a Simple Pendulum that behaves as an ideal one, and analyze model assumption incidence on its period. The following aspects are quantitatively analyzed: vanishing friction, small amplitude, not extensible string, point mass of the body, and vanishing mass of the string. It is concluded that model assumptions are easilyaccomplished in practice, within small experimental errors. Furthermore, this way of carrying out the usual Pendulum experiments promotes a better understanding of the scientific modeling process. It allows a deeper comprehension of those physical concepts associated with model assumptions (small amplitude, point mass, etc.), whose physical and epistemological meanings appear clearly related to the model context. Students are introduced to a scientific way of controlling the validity of theoretical development, and they learn to value the power and applicability of scientific modeling.

Tetsutaro Shibata - One of the best experts on this subject based on the ideXlab platform.

  • Precise Asymptotics of Boundary Layers for Damped Simple Pendulum Equations
    Results in Mathematics, 2010
    Co-Authors: Tetsutaro Shibata
    Abstract:

    We consider the Simple Pendulum equation with friction: $${\begin{array}{ll}-u''(t) - \vert u'(t)\vert + g(u(t)) & = \lambda \sin u(t), \quad t \in I := (-T, T), \\ \quad \quad \quad \quad \quad \quad \quad \quad \quad u(t) & > 0, \quad t \in I, \quad u(\pm T) = 0,\end{array}}$$ where T > 0 is a constant and λ > 0 is a parameter. The case without friction is known as the Simple Pendulum equation with self interaction, and the asymptotic shape of the solution as λ → ∞ is well understood. In this paper, we establish the asymptotic formula for the boundary layers of the solution u λ for the equation above, and show that its boundary slope is steeper than that of the solution without damping term | u′(t)|.

Mangal C. Mahato - One of the best experts on this subject based on the ideXlab platform.

  • Free Oscillations of a Damped Simple Pendulum: An Analog Simulation Experiment
    The Physics Educator, 2019
    Co-Authors: Ivan Skhem Sawkmie, Mangal C. Mahato
    Abstract:

    The frequency of free oscillation of a damped Simple Pendulum with large amplitude depends on its amplitude unlike the amplitude-independent frequency of oscillation of a damped Simple harmonic oscillator. This aspect is not adequately emphasized in the undergraduate courses due to experimental and theoretical difficulties. We propose an analog simulation experiment to study the free oscillations of a Simple Pendulum that could be performed in an undergraduate laboratory. The needed sinusoidal potential is obtained approximately by using the available AD534 IC by suitably augmenting the electronic circuitry. To keep the circuit Simple enough we restrict the initial angular amplitude of the Simple Pendulum to a maximum of [Formula: see text]. The results compare well qualitatively with the theoretical results. The small quantitative discrepancy is attributed to the inexact nature of the used “sinusoidal potential”.

  • Free Oscillations of a Damped Simple Pendulum: An Analog Simulation Experiment
    2019
    Co-Authors: Ivan Skhem Sawkmie, Mangal C. Mahato
    Abstract:

    The frequency of free oscillation of a damped Simple Pendulum with large amplitude depends on its amplitude unlike the amplitude-independent frequency of oscillation of a damped Simple harmonic osc...

  • An analog simulation experiment to study free oscillations of a damped Simple Pendulum
    arXiv: Classical Physics, 2019
    Co-Authors: Ivan Skhem Sawkmie, Mangal C. Mahato
    Abstract:

    The characteristics of drive-free oscillations of a damped Simple Pendulum under sinusoidal potential force field differ from those of the damped harmonic oscillations. The frequency of oscillation of a large amplitude Simple Pendulum decreases with increasing amplitude. Many prototype mechanical Simple Pendulum have been fabricated with precision and studied earlier in view of introducing them in undergraduate physics laboratories. However, fabrication and maintenance of such mechanical Pendulum require special skill. In this work, we set up an analog electronic simulation experiment to serve the purpose of studying the force-free oscillations of a damped Simple Pendulum. We present the details of the setup and some typical results of our experiment. The experiment is Simple enough to implement in undergraduate physics laboratories.

  • Resonance oscillation of a damped driven Simple Pendulum
    European Journal of Physics, 2018
    Co-Authors: D. Kharkongor, Mangal C. Mahato
    Abstract:

    The resonance characteristics of a driven damped harmonic oscillator are well known. Unlike harmonic oscillators which are guided by parabolic potentials, a Simple Pendulum oscillates under sinusoidal potentials. The problem of an undamped Pendulum has been investigated to a great extent. However, the resonance characteristics of a driven damped Pendulum have not been re- ported so far due to the difficulty in solving the problem analytically. In the present work we report the resonance characteristics of a driven damped Pendulum calculated numerically. The results are compared with the resonance characteristics of a damped driven harmonic oscillator. The work can be of pedagogic interest too as it reveals the richness of driven damped motion of a Simple Pendulum in comparison to and how strikingly it differs from the motion of a driven damped harmonic oscillator. We confine our work only to the nonchaotic regime of Pendulum motion.

Lior M. Burko - One of the best experts on this subject based on the ideXlab platform.

C. R. Deepak - One of the best experts on this subject based on the ideXlab platform.

  • Simple Pendulum analysis a vision based approach
    2013 Fourth International Conference on Computing Communications and Networking Technologies (ICCCNT), 2013
    Co-Authors: R. Kavithaa, Umesh R Babu, C. R. Deepak
    Abstract:

    A Simple Pendulum is a piece of mass attached to a thread and supported rigidly from one end. Simple Pendulum experiment is mainly carried out for calculating the time period of an oscillation, when there is a change in the amplitude. This can also be used for calculating various physical properties of the bob. In this paper we propose an efficient image processing methodology to detect, track and estimate, properties of the bob. Proposed methodology uses Lukas-Kanade's optical flow and blob library for tracking and calculating the properties of the bob. Experiment is also carried out physically in the lab environment and the same properties are extracted from the bob. Results obtained using image processing techniques are found to coincide with the results obtained by physical calculations and are clearly explained in this paper.

  • Simple Pendulum analysis — A vision based approach
    2013 Fourth International Conference on Computing Communications and Networking Technologies (ICCCNT), 2013
    Co-Authors: R. Kavithaa, R. Umesh Babu, C. R. Deepak
    Abstract:

    A Simple Pendulum is a piece of mass attached to a thread and supported rigidly from one end. Simple Pendulum experiment is mainly carried out for calculating the time period of an oscillation, when there is a change in the amplitude. This can also be used for calculating various physical properties of the bob. In this paper we propose an efficient image processing methodology to detect, track and estimate, properties of the bob. Proposed methodology uses Lukas-Kanade's optical flow and blob library for tracking and calculating the properties of the bob. Experiment is also carried out physically in the lab environment and the same properties are extracted from the bob. Results obtained using image processing techniques are found to coincide with the results obtained by physical calculations and are clearly explained in this paper.