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Motion of a simple pendulum: a digital technology approach
, 2019In differential equations textbooks, the motion of a simple pendulum for small-amplitude oscillations is analyzed. This is due to the impossibility of expressing, in terms of simple elementary functions, the solutions of the nonlinear differential ...
A. Rivera-Figueroa +1 more
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Linearization of the simple pendulum
American Journal of Physics, 1991A new method is described to obtain the leading correction to the simple harmonic approximation of a simple pendulum for large-angle motion using an analytical and geometric approach.
L. H. Cadwell, E. R. Boyko
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Toward the Determination of $G$ With a Simple Pendulum
IEEE Transactions on Instrumentation and Measurement, 2007An experiment aimed at the determination of the constant G was started in 1995 at the Politecnico di Torino, Torino, Italy, based on measurement of the period of a simple pendulum. Two source masses are periodically moved, orthogonally to the swinging plane, between two fixed positions.
MARCO BERUTTO +4 more
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2005
Abstract In the northwest corner of Spain, in the province of Galicia, lies the mist shrouded town of Santiago de Compostela, the birthplace of the cult of Santiago (St. James, the major apostle), and the home of the magnificent cathedral that is presumablybuilt upon the bones of that martyred apostle (Adams 1999) (see Fig. 3.1).
Gregory L Baker, James A Blackburn
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Abstract In the northwest corner of Spain, in the province of Galicia, lies the mist shrouded town of Santiago de Compostela, the birthplace of the cult of Santiago (St. James, the major apostle), and the home of the magnificent cathedral that is presumablybuilt upon the bones of that martyred apostle (Adams 1999) (see Fig. 3.1).
Gregory L Baker, James A Blackburn
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Gudermann and the Simple Pendulum
The College Mathematics Journal, 1997(1997). Gudermann and the Simple Pendulum. The College Mathematics Journal: Vol. 28, No. 4, pp. 271-276.
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American Journal of Physics, 1985
The function [Fθ/sin (Fθ)]1/2 with F equal to approximately (3)1/2/2 is a close fit to the relative period of a simple pendulum as a function of amplitude. The fit is better than 5% up to 160°, and for 0°–100° the fit is better than ±0.001. Moreover, it can be derived without calculus.
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The function [Fθ/sin (Fθ)]1/2 with F equal to approximately (3)1/2/2 is a close fit to the relative period of a simple pendulum as a function of amplitude. The fit is better than 5% up to 160°, and for 0°–100° the fit is better than ±0.001. Moreover, it can be derived without calculus.
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The simple pendulum: Not so simple after all!
Resonance, 2009Theoretical analysis of the ‘simple’ pendulum beyond the small-angle approximation teaches us about anharmonic oscillators and approximate (perturbative) solutions. Experiments with a simple-to-set-up pendulum teach us about errors in measurements, and curve fitting of theoretical expressions to experimental data.
H. P. Kaumudi, Vasant Natarajan
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A Simple Description of the Motion of a Spherical Pendulum
Journal of Applied Mechanics, 1969Hamilton-Jacobi theory is used to obtain an approximate solution of the equations of motion of a spherical pendulum. By reference to this solution, the motion is then described in simple geometric terms.
Johansen, K. F., Kane, T. R.
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2005
Abstract There are many kinds of pendulums. In this chapter, however, we intro duce a simplified model; the small amplitude, linearized pendulum. For the present, we ignore friction and in doing so obviate the need for energizing the pendulum through some forcing mechanism. Our initial discussion will therefore assume that the pendulum’s
Gregory L Baker, James A Blackburn
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Abstract There are many kinds of pendulums. In this chapter, however, we intro duce a simplified model; the small amplitude, linearized pendulum. For the present, we ignore friction and in doing so obviate the need for energizing the pendulum through some forcing mechanism. Our initial discussion will therefore assume that the pendulum’s
Gregory L Baker, James A Blackburn
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American Journal of Physics, 1975
An approximate solution of the pendulum equation is found. The damping force is assumed to be proportional to v/sup p/, where p is an unknown power. (BJG)
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An approximate solution of the pendulum equation is found. The damping force is assumed to be proportional to v/sup p/, where p is an unknown power. (BJG)
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