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1

Lee, C. K., and H. K. Wong. "The Doppler pendulum experiment." Physics Education 46, no. 4 (June 29, 2011): 440–42. http://dx.doi.org/10.1088/0031-9120/46/4/012.

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2

Neto, Rui Borralho, Horácio Fernandes, Tiago Pereira, Isabel Borges, Gesil Amarante-Segundo, Samuel Balula, Rui Figueiredo, and José Pedro Pereira. "Globally Distributed Pendulum Experiment as an Educational Resource on e-lab." International Journal of Online and Biomedical Engineering (iJOE) 9, S8 (December 4, 2013): 47. http://dx.doi.org/10.3991/ijoe.v9is8.3381.

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e-lab is a remote laboratory platform that provides access to several remote experiments in basic or advanced physics. Recent upgrades to itâ??s interface and new features introduced make it more accessible and appealing, but experimentâ??s attractiveness for teachers and students has been an issue. A new experiment intended to improve this aspect was introduced: the World Pendulum. Consisting in multiple identical pendulum apparatuses connected to e-lab and scattered throughout different locations across several countries. The World Pendulum is intended at exploring a unique feature allowed by remote experimentation â?? experimental repetition in different locations.
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3

Parks, Harold V., and James E. Faller. "A simple pendulum laser interferometer for determining the gravitational constant." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2026 (October 13, 2014): 20140024. http://dx.doi.org/10.1098/rsta.2014.0024.

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We present a detailed account of our 2004 experiment to measure the Newtonian constant of gravitation with a suspended laser interferometer. The apparatus consists of two simple pendulums hanging from a common support. Each pendulum has a length of 72 cm and their separation is 34 cm. A mirror is embedded in each pendulum bob, which then in combination form a Fabry–Perot cavity. A laser locked to the cavity measures the change in pendulum separation as the gravitational field is modulated due to the displacement of four 120 kg tungsten masses.
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4

Wood, Sir John. "Pendulum arbitration: a modest experiment." Industrial Relations Journal 19, no. 3 (September 1988): 244–47. http://dx.doi.org/10.1111/j.1468-2338.1988.tb00035.x.

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5

Kraftmakher, Yaakov. "Driven Pendulum: An Advanced Experiment." Physics Teacher 56, no. 9 (December 2018): 636–38. http://dx.doi.org/10.1119/1.5080586.

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6

Pluta, Zdzisław, and Tadeusz Hryniewicz. "Mass Moment Determination Using Compound Pendulum." International Letters of Chemistry, Physics and Astronomy 8 (September 2013): 85–100. http://dx.doi.org/10.18052/www.scipress.com/ilcpa.8.85.

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This work has been performed to verify the existent knowledge on determination of the mass moment. For the experiment, a compound pendulum was used. The motivation to undertake these studies were experimental results indicating a big discrepancy in mass moments between the values coming from calculations using the definition formula and these obtained from the experiment. In relation to the axial moment the relative error equals 23.6%, whereas regarding the polar moment the error reached 56.4%. Considering the reason of that discrepancy we could find the existent theory not to be adequate. The theory is then considered in view of verifying first the mathematical pendulum and next the physical/compound pendulum theory. The consideration has been focused on the description of accelerated motion cycle of both pendulums as it was enough to solve the problem. A source differential equation, which serves to solve any quantum phenomena, was used in the study. Then the course of creation of detailed characteristics of the phase of mathematical pendulum accelerated motion is presented as the basis to derive formula on the mass moment of a compound pendulum. At the end this new adequate theory was verified showing the relative error to be less than one per cent.
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7

Sanjaya, W. S. Mada, Dyah Anggraeni, Rena Denya, Handi Pandriantama, Iklimah Iklimah, and Indry Pritanti Dewi. "A Low Cost Of Simple Pendulum Experiment Apparatus Based On Ultrasonic Sensor And Arduino Microcontroller." Al-Khidmat 1, no. 2 (September 29, 2018): 61–66. http://dx.doi.org/10.15575/jak.v1i2.3336.

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Simple Pendulum is a basic physics experiment about observation of harmonic oscillation motion. Generally, this experiment is performed with manual measurements and observations that are less efficient. In this paper describe numerical simulations of Simple Pendulum motion based on Python 2.7. The experimental system of real-time Simple Pendulum based on HC-SR04 Ultrasonic Sensor, Arduino microcontroller and the interface using Python 2.7. The experimental results show good agreement when compared with the numerical simulations. The advantage of this system is open source that makes physics experiments easier and low cost.
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8

Yokosawa, Kazuhiko, Keisuke Ikeda, and Ken Tomiyama. "Laboratory Experiment on Control Engineering Using Inverted Pendulum and a 32-Bit DSP CPU." Journal of Robotics and Mechatronics 23, no. 5 (October 20, 2011): 717–23. http://dx.doi.org/10.20965/jrm.2011.p0717.

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The major objective of the control engineering laboratory course teaching materials we have improved is to enable students to experience control theory effectively by stabilizing an inverted pendulum on a cart. Having used questionnaires and experiments to identify course weaknesses we tested our modifications to teaching materials in mock classes. We found that although students liked the new teaching materials, they could not, in practice, stabilize their pendulums. Considering all constraints, we implemented new hardware specifications for shorter pendulums. This enabled students to stabilize their pendulums and, in doing so, proved the effectiveness of the developed materials.
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9

Palka, L., F. Schauer, and P. Dostal. "Modelling of the simple pendulum Experiment." MATEC Web of Conferences 76 (2016): 04037. http://dx.doi.org/10.1051/matecconf/20167604037.

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10

Levien, R. B., and S. M. Tan. "Double pendulum: An experiment in chaos." American Journal of Physics 61, no. 11 (November 1993): 1038–44. http://dx.doi.org/10.1119/1.17335.

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11

Denardo, Bruce, and Richard Masada. "A not‐so‐obvious pendulum experiment." Physics Teacher 28, no. 1 (January 1990): 51–52. http://dx.doi.org/10.1119/1.2342930.

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12

Hood, C. Gregory. "Note on a physical pendulum experiment." Physics Teacher 34, no. 6 (September 1996): 327. http://dx.doi.org/10.1119/1.2344463.

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13

Norcini, Jeffrey G., James H. Aldrich, and Frank G. Martin. "Preemergent Control of Common Vetch (Vicia sativa L.) and Black Medic (Medicago lupulina L.)." Journal of Environmental Horticulture 15, no. 3 (September 1, 1997): 149–52. http://dx.doi.org/10.24266/0738-2898-15.3.149.

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Abstract Preemergence applied herbicides, Barricade 65 WDG (prodiamine), Derby 5G (metolachlor + simazine), Pendulum 60 WDG (pendimethalin), Snapshot DF (isoxaben + oryzalin), and Snapshot TG (isoxaben + trifluralin) were evaluated for control of common vetch (Vicia sativa L.) and black medic (Medicago lupulina L.) in 2.5 liter (0.7 gal) containerized soilless medium. Herbicides were applied at label rates in November 1993 (experiment 1) and 1994 (experiment 2). Common vetch was controlled up to 16 weeks after treatment (WAT) by both Snapshot formulations. Pendulum and Barricade, or Derby provided excellent and good control of vetch for 8 WAT (experiment 1), respectively, but only 4 WAT in experiment 2. Both Snapshot formulations resulted in excellent control of black medic for the entirety of both experiments. Pendulum provided excellent control up to 12 WAT (experiment 2) and good control up to 16 WAT (experiment 1). Further studies should evaluate the turfgrass/landscape herbicide Gallery (isoxaben), the common active ingredient in both Snapshot formulations.
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14

CZOLCZYNSKI, K., P. PERLIKOWSKI, A. STEFANSKI, and T. KAPITANIAK. "HUYGENS' ODD SYMPATHY EXPERIMENT REVISITED." International Journal of Bifurcation and Chaos 21, no. 07 (July 2011): 2047–56. http://dx.doi.org/10.1142/s0218127411029628.

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We repeat Huygens' experiment using real pendulum clocks in the same way as it was done originally, i.e. we hang two clocks on the same beam and observe the behavior of the pendulums. The clocks in the experiment have been selected in such a way so as to be as identical as possible. It has been observed that when the beam is allowed to move horizontally, the clocks can synchronize both in-phase and anti-phase. We perform computer simulations of the clocks' behavior to answer the question how the nonidentity of the clocks influences the synchronization process. We show that even the clocks with significantly different periods of oscillations can synchronize, but their periods are modified by the beam motion so they are no more accurate.
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15

Rutman, Yu L. "Pendulum seismic isolation bearings. Design, analysis, experiment." Magazine of civil engineering 27, no. 1 (February 21, 2012): 31–36. http://dx.doi.org/10.5862/mce.27.4.

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16

Zhong-Kun, Hu, Wang Xue-Li, and Luo Jun. "Thermoelastic Correction in the Torsion Pendulum Experiment." Chinese Physics Letters 18, no. 1 (December 13, 2000): 7–9. http://dx.doi.org/10.1088/0256-307x/18/1/303.

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17

Cao, Rong Min, Hui Xing Zhou, and Rong Hua Ma. "Experiment Platform Design cSPACE-Based for a Permanent Magnet Linear Synchronous Motor Driven Inverted Pendulum." Applied Mechanics and Materials 84-85 (August 2011): 452–56. http://dx.doi.org/10.4028/www.scientific.net/amm.84-85.452.

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Permanent magnet linear synchronous motor (PMLSM) driven inverted pendulum is a new member of present similar devices, various unexpected disturbances such as lag effect of a belt attached to a cart and errors caused by a rotary encoder while detecting the position of a cart can be eliminated or reduced to a small range.In this paper, ironless permanent magnet synchronous linear motor driven inverted pendulum experiment platform is developed. The plant is hardware in the loop real time simulation control development system (Hardware-in-Loop, HIL)based on TMS320F2812DSP and MATLAB, it can use simple and efficient way to achieve linear motor driven inverted pendulum real-time control. Long design time for programming and debugging difficulty are avoided for traditional programming language. Control algorithm can be investigated directly on MATLAB/Simulink, and can be generated automatically control code to control single and double -stage inverted pendulum system. The real performance of the driven inverted pendulum is researched in this paper, the results showed that the controllability of the driven inverted pendulum is fine.
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18

Hovland, Geir. "Evaluation of an Online Inverted Pendulum Control Experiment." IEEE Transactions on Education 51, no. 1 (2008): 114–22. http://dx.doi.org/10.1109/te.2007.906612.

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19

Van Staden, Johan C., Max W. H. Braun, and B. J. E. Van Tonder. "Computerized pendulum experiment for the introductory physics laboratory." Computers & Education 11, no. 4 (January 1987): 281–92. http://dx.doi.org/10.1016/0360-1315(87)90030-3.

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20

Bala, Sandeep. "Torsion pendulum experiment at the International Physics Olympiad." Resonance 5, no. 6 (June 2000): 76–85. http://dx.doi.org/10.1007/bf02833858.

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21

ALVES SANTIAGO, ALEXANDRE, and GLAUBER BOLZAN DE ASSIS LIMA. "TEACHING INTELLIGENT CONTROL: THE INVERTED PENDULUM EXPERIMENT REVISITED." Revista de Ensino de Engenharia 39, no. 1 (2020): 89–98. http://dx.doi.org/10.37702/ree2236-0158.v39p89-98.2020.

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22

Christopher Marble, S., Charles H. Gilliam, Glenn R. Wehtje, Albert J. Van Hoogmoed, and Cristi Palmer. "Early Postemergence Control of Spotted Spurge in Container Production." Journal of Environmental Horticulture 29, no. 1 (March 1, 2011): 29–34. http://dx.doi.org/10.24266/0738-2898-29.1.29.

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Abstract Four experiments were conducted to evaluate early postemergence control of spotted spurge (Chamaesyce maculata) in nursery crops using preemergence active herbicides. In Experiment 1, spotted spurge (SS) seed were overseeded at two different dates in a commercial pine bark substrate and were grown until reaching either the cotyledon to one leaf (C–1L) stage, or the two to four leaf (2–4L) stage. Herbicides applied included: Broadstar 1604 (flumioxazin), V-10142 (imazosulfuron), and Tower (dimethenamid-P). These products were applied postemergence at their respective recommended label rate (1 ×) and twice (2 ×) this rate to SS either at the C–1L stage or at the 2–4L stage. In general, V10142 and Tower provided the greatest injury to SS in the C–1L. Tower also provided greatest SS injury in the 2–4L stage. In Experiment 2, postemergence control was tested in the C1-L and 2–4L stages with Broadstar 1604, FreeHand (dimethenamid-P 0.75% + pendimethalin 1.0%), Tower, and Pendulum 3.3 EC (pendimethalin) at the 1× and 2× the label rate. FreeHand at 2×, along with Tower and Pendulum at both rates provided the highest SS injury ratings in the C–1L. Tower at 2× and Pendulum at both rates provided greatest SS injury in the 2–4L. In Experiments 3 and 4, Broadstar (1/2×, 1×, and 2× rate), Casoron (dichlobenil) (1× and 2×), HGH-63 (oxyflurfen) (1×), Certainty (sulfosulfuron) (1× and 2×), Tower (2/3× and 1×), V-10142 (1× and 2×), Pendulum 3.3 EC (1× and 2×), FreeHand (1× and 2×) were applied to SS in either C–1L or 2–4L as described above. Results from Experiments 3 and 4 indicate that Certainty (both rates), Tower (both rates), Pendulum (both rates), and FreeHand (both rates) have postemergence activity on immature SS, especially when applied in the C–1L stage. Postemergence activity declined when herbicides were applied to SS in the 2–4L, however Pendulum (both rates), Certainty (both rates), and FreeHand (2× rate) had a marginal effect.
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23

Sawkmie, Ivan Skhem, and Mangal C. Mahato. "Free Oscillations of a Damped Simple Pendulum: An Analog Simulation Experiment." Physics Educator 01, no. 04 (December 2019): 1950015. http://dx.doi.org/10.1142/s266133951950015x.

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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”.
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24

Furuta, K., M. Yamakita, and S. Kobayashi. "Swing-up Control of Inverted Pendulum Using Pseudo-State Feedback." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 206, no. 4 (November 1992): 263–69. http://dx.doi.org/10.1243/pime_proc_1992_206_341_02.

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Swing-up control, that is the transfer of a pendulum from a pendant state to the inverted one, is a good laboratory experiment of optimal control theory for non-linear control systems. The optimal control can be determined by the maximum principle and obtained as a function of time. Since the control is, however, determined in a feedforward fashion, the control is not robust to disturbances and uncertainties of the system, and the transfer of the state of the pendulum is not assured. In the paper, a robust swing-up control using a subspace projected from the whole state space is proposed. Based on the projected state space or pseudo-state, the control input is determined depending on the partitioning of the state as a bang-bang type control. The control algorithm is applied for a new type of pendulum (TI Tech pendulum), and the effectiveness and robustness of the proposed control are examined by experiments.
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25

Gao, Qiang, and Yi Li. "Generalized Predictive Control for Rotary Inverted Pendulum System." Applied Mechanics and Materials 130-134 (October 2011): 4256–60. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.4256.

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Inverted pendulum system is a complex, multivariable, nonlinear, strong-coupling, unstable system of high order. Compared with the straight-line inverted pendulum, rotary inverted pendulum is more complicated and unstable. In this paper, the mathematic model of a rotary inverted pendulum system is analyzed and deduced detailedly by applying the Lagrange method; the control properties and characteristics of generalized predictive control are researched with matlab simulation. Finally, the results of the experiment prove the system controlled by GPC has a better stability and quickness.
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26

Branco, P. J. Costa. "Development of Two Laboratory Experiments for Teaching Electrodynamic Forces in an Advanced Course in Electromechanical Systems." International Journal of Electrical Engineering & Education 47, no. 4 (October 2010): 380–92. http://dx.doi.org/10.7227/ijeee.47.4.3.

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In this paper, two experiments on electrodynamic forces designed for students on an advanced course in electromechanical systems are proposed. Details are first given for an experiment involving a pendulum system whose damping is controlled by the electrodynamic forces that are induced in a conducting plate. The pendulum system is modelled using Maxwell's equations and experimental results obtained from the system are compared with those estimated from the model developed. A second experiment is also presented, consisting of a magnetic levitation system where electrodynamic forces are induced in a moving conducting plate by two permanent magnets, resulting in lifting and drag forces on them. These two components of the electrodynamic forces, the lifting and drag forces, are analysed based on the magnetic field distribution, also verifying their dependence on plate speed and lifting height.
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27

Gupta, P. D. "Blackwood pendulum experiment and the conservation of linear momentum." American Journal of Physics 53, no. 3 (March 1985): 267–69. http://dx.doi.org/10.1119/1.14137.

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28

Russeva, G. B., G. G. Tsutsumanova, and S. C. Russev. "An experiment on a physical pendulum and Steiner’s theorem." Physics Education 45, no. 1 (December 29, 2009): 58–62. http://dx.doi.org/10.1088/0031-9120/45/1/006.

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29

Jianguo, Li, Fan Shuhua, Zhang Xuerong, and Luo Jun. "Electrically Charged Torque Pendulum Experiment with a Null Result." Chinese Physics Letters 9, no. 3 (March 1992): 117–19. http://dx.doi.org/10.1088/0256-307x/9/3/002.

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30

Junos, M. Haniff, Nurulasikin Mohd Suhadis, and Mahmud M. Zihad. "Experimental Determination of the Moment of Inertias of USM e-UAV." Applied Mechanics and Materials 465-466 (December 2013): 368–72. http://dx.doi.org/10.4028/www.scientific.net/amm.465-466.368.

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This paper presents the experimental determination of the moment of inertia of USM e-UAV by using pendulum method. Compound pendulum experiment is used to determine the moment of inertia about x and y axes while the moment of inertia about z-axis is determined using bifilar torsion pendulum method. An experimental setup is developed with appropriate dimension to accommodate USM e-UAV. Experimental data are presented and discussed.
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31

Ortega, Roberto, Geraldine Farías, Marcela Cruchaga, Matías Rivero, Mariano Vázquez, Eva Casoni, and Guillaume Houzeaux. "Modeling the damped dynamic behavior of a flexible pendulum." Journal of Strain Analysis for Engineering Design 54, no. 2 (February 2019): 116–29. http://dx.doi.org/10.1177/0309324719832735.

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The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. The simulation of the problem is developed in the framework of a parallel multi-physics code. Particular emphasis is placed on the analysis of the Newmark integration scheme and the use of Rayleigh damping model. In particular, the time step size effect is analyzed. A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.
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32

Polnarev, A. G. "Proposals for an experiment to detect the Earth's gravitomagnetic field." Symposium - International Astronomical Union 114 (1986): 401–5. http://dx.doi.org/10.1017/s0074180900148429.

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33

Al-Mekhlafi, Mohammed A. A., Herman Wahid, and Azian Abd Aziz. "Adaptive Neuro-Fuzzy Control Approach for a Single Inverted Pendulum System." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 5 (October 1, 2018): 3657. http://dx.doi.org/10.11591/ijece.v8i5.pp3657-3665.

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The inverted pendulum is an under-actuated and nonlinear system, which is also unstable. It is a single-input double-output system, where only one output is directly actuated. This paper investigates a single intelligent control system using an adaptive neuro-fuzzy inference system (ANFIS) to stabilize the inverted pendulum system while tracking the desired position. The non-linear inverted pendulum system was modelled and built using MATLAB Simulink. An adaptive neuro-fuzzy logic controller was implemented and its performance was compared with a Sugeno-fuzzy inference system in both simulation and real experiment. The ANFIS controller could reach its desired new destination in 1.5 s and could stabilize the entire system in 2.2 s in the simulation, while in the experiment it took 1.7 s to reach stability. Results from the simulation and experiment showed that ANFIS had better performance compared to the Sugeno-fuzzy controller as it provided faster and smoother response and much less steady-state error.
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34

Frick, Andrea, Susanne Huber, Ulf-Dietrich Reips, and Horst Krist. "Task-Specific Knowledge of the Law of Pendulum Motion in Children and Adults." Swiss Journal of Psychology 64, no. 2 (June 2005): 103–14. http://dx.doi.org/10.1024/1421-0185.64.2.103.

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The present experiment investigated children and adults’ knowledge of the pendulum law under different task conditions. The question asked was whether adults and fourth-graders knew that the period of a pendulum is a function of pendulum length but is independent of its mass. The task was to judge the period on a rating scale (judgment task), to imagine the swinging pendulum and indicate the corresponding time interval (imagery task), or to adjust the period of a dynamically presented pendulum (perception task). Normative consideration of pendulum length as the only relevant factor was primarily found in the perception task and, for adults, in the imagery task, whereas in the judgment task, children and adults frequently considered the irrelevant dimension of mass. Most children showed poor imagery performance. Preceding adjustment (perception task) and rating (judgment task) had no differential influence on subsequent imagery performance.
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35

Ye, Ji Fei, Guang Yu Wang, and Dian Kai Wang. "Measurement of Laser Ablation Micro Impulse Using the Torsion Pendulum Interferometry." Advanced Materials Research 301-303 (July 2011): 1078–82. http://dx.doi.org/10.4028/www.scientific.net/amr.301-303.1078.

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A method is described for measuring the micro impulse induced by the laser ablation. This method is based upon the torsion pendulum interferometry technique. The method measures the micro impulse through the detection of the swinging angle of torsion pendulum. The swinging angle is obtained by the laser differential interferometry. For the 10-4~10-7 magnitude micro-impulse, It could be the important measurement method in the research of micro laser plasma thruster (mLPT). The results of some preliminary experiments are presented with detailed reference to experiment methodology and accuracy. The measurement technique is well suited to cases seeking the measurement of mN×s magnitude micro-impulse.
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36

Jiang, Daya, Jinghua Xiao, Haihong Li, and Qionglin Dai. "New approaches to data acquisitions in a torsion pendulum experiment." European Journal of Physics 28, no. 5 (August 8, 2007): 977–82. http://dx.doi.org/10.1088/0143-0807/28/5/020.

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37

Chattopadhyay, Rabindranath. "A school-Level Experiment with Simple Pendulum and its Consequences." Indian Science Cruiser 33, no. 2 (March 1, 2019): 33. http://dx.doi.org/10.24906/isc/2019/v33/i2/183889.

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38

Liang, Yang, and B. F. Feeny. "Parametric identification of a chaotic base-excited double pendulum experiment." Nonlinear Dynamics 52, no. 1-2 (June 6, 2007): 181–97. http://dx.doi.org/10.1007/s11071-007-9270-x.

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39

Wijaya, P. A., A. Widodo, and Muslim. "Virtual experiment of simple pendulum to improve student’s conceptual understanding." Journal of Physics: Conference Series 1806, no. 1 (March 1, 2021): 012133. http://dx.doi.org/10.1088/1742-6596/1806/1/012133.

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40

Dai, Yanyan, KiDong Lee, and SukGyu Lee. "A real-time HIL control system on rotary inverted pendulum hardware platform based on double deep Q-network." Measurement and Control 54, no. 3-4 (March 2021): 417–28. http://dx.doi.org/10.1177/00202940211000380.

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For real applications, rotary inverted pendulum systems have been known as the basic model in nonlinear control systems. If researchers have no deep understanding of control, it is difficult to control a rotary inverted pendulum platform using classic control engineering models, as shown in section 2.1. Therefore, without classic control theory, this paper controls the platform by training and testing reinforcement learning algorithm. Many recent achievements in reinforcement learning (RL) have become possible, but there is a lack of research to quickly test high-frequency RL algorithms using real hardware environment. In this paper, we propose a real-time Hardware-in-the-loop (HIL) control system to train and test the deep reinforcement learning algorithm from simulation to real hardware implementation. The Double Deep Q-Network (DDQN) with prioritized experience replay reinforcement learning algorithm, without a deep understanding of classical control engineering, is used to implement the agent. For the real experiment, to swing up the rotary inverted pendulum and make the pendulum smoothly move, we define 21 actions to swing up and balance the pendulum. Comparing Deep Q-Network (DQN), the DDQN with prioritized experience replay algorithm removes the overestimate of Q value and decreases the training time. Finally, this paper shows the experiment results with comparisons of classic control theory and different reinforcement learning algorithms.
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41

Nugraha, Muhammad Iqbal, J. Hartati, W. Afridani, and Masdani Masdani. "Analisis Pengaruh Moment Gyroscope Pada Keseimbangan Pendulum Cartessian." Manutech : Jurnal Teknologi Manufaktur 9, no. 02 (May 14, 2019): 1–7. http://dx.doi.org/10.33504/manutech.v9i02.39.

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Crane is identical to the pendulum in term of its control mechanism. Based on modelling, these two devices are very similar and therefore, the pendulum can be used as a prototype for controlling a crane. This research aims to control the balance or to reduce the swing on the pendulum by utilizing the moment of gyroscope with a mass pendulum up to 1.5 kg. Gyroscope was designed and made in the form of a disc, in which dimensions and materials used were determined according to the desired moment force. The PID controller was used to control the speed of gyroscope based on the angle of the pendulum (θ). Based on the results of the experiment, it was obtained that the resulting settling time was 2.29 times faster than without control in average. The overshoot and rise time resulted by the system using gyroscope were very similar to the system which is without gyroscope. However, the steady state error was totally eliminated. It can be concluded that the moment of gyroscope is able to be used for controlling the pendulum or crane.
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42

Ahn, K. Y., and S. H. Kim. "Modelling and analysis of a high-speed circuit breaker mechanism with a spring-actuated cam." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 215, no. 6 (June 1, 2001): 663–72. http://dx.doi.org/10.1243/0954406011524036.

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The dynamic model of a high-speed circuit breaker mechanism with a spring-actuated cam is derived, and its validation and appropriateness for an analysis of high-speed motion behaviour are checked through experiments. In particular, the characteristics of the friction on the camshaft are investigated using the non-linear pendulum experiment. The parameters of the friction model are estimated using an optimization technique. The analysis shows that the friction of the pendulum depends on stick-slip, the Stribeck effect and viscous damping. The simulation results of derived dynamic models for the rapid closing and opening operations are compared with actual responses using a high-speed camera and are investigated to validate their usefulness. The spring motion, which has much influence on the closing responses, is observed.
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43

Sanjeewa, Sondarangallage DA, and Manukid Parnichkun. "Control of rotary double inverted pendulum system using mixed sensitivity H∞ controller." International Journal of Advanced Robotic Systems 16, no. 2 (March 1, 2019): 172988141983327. http://dx.doi.org/10.1177/1729881419833273.

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Balancing control of a rotary double inverted pendulum system is a challenging research topic for researchers in dynamics control field because of its nonlinear, high degree-of-freedom, under actuated and unstable characteristics. The system always works under uncertainties and disturbances. Many control algorithms fail or ineffectively control the rotary double inverted pendulum system. In this article, mixed sensitivity H∞ control is proposed to balance the rotary double inverted pendulum system. The controller is proposed to ensure the robust stability and enhance the time domain performance of the system under uncertainties and disturbances. Structure of the system, dynamics model and controller synthesis are presented. For performance evaluation, the proposed mixed sensitivity H∞ controller is compared with linear quadratic regulator from both simulation and experiment on the rotary double inverted pendulum system. The results show high performance of the proposed controller on the rotary double inverted pendulum system with model uncertainties and external disturbances.
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44

CHEN, SHENG-JUI, HSIEN-HAO MEI, and WEI-TOU NI. "Q & A EXPERIMENT TO SEARCH FOR VACUUM DICHROISM, PSEUDOSCALAR–PHOTON INTERACTION AND MILLICHARGED FERMIONS." Modern Physics Letters A 22, no. 37 (December 7, 2007): 2815–31. http://dx.doi.org/10.1142/s0217732307025844.

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A number of experiments are underway to detect vacuum birefringence and dichroism — PVLAS, Q & A, and BMV. Recently, PVLAS experiment has observed optical rotation in vacuum by a magnetic field (vacuum dichroism). Theoretical interpretations of this result include a possible pseudoscalar–photon interaction and the existence of millicharged fermions. Here, we report the progress and first results of Q & A (QED [quantum electrodynamics] and Axion) experiment proposed and started in 1994. We use a 3.5-m high-finesse (around 30,000) Fabry–Perot prototype detector extendable to 7-m with the cavity mirrors suspended using X-pendulum-double pendulums. To polarize the vacuum, we use a 2.3-T dipole permanent magnet rotated at 5–10 rev/s, with 27-mm-diameter clear borehole and 0.6-m field length. Our ellipsometer/polarization-rotation-detection-system is formed by a pair of Glan–Taylor type polarizing prisms with extinction ratio lower than 10-8 together with a polarization modulating Faraday Cell with/without a quarter wave plate. Our first results give (-0.2 ± 2.8) × 10-13 rad/pass with 18,700 passes through a 2.3 T 0.6 m long magnet for vacuum dichroism measurement. We present our experimental limit on pseudo-scalar-photon interaction and millicharged fermions.
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45

Cross, Rod. "A double pendulum swing experiment: In search of a better bat." American Journal of Physics 73, no. 4 (April 2005): 330–39. http://dx.doi.org/10.1119/1.1842729.

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46

Liang, Changlin, Weiping Ke, Minxue Fu, Changjiang Wang, and Xi Chen. "An undergraduate experiment of wave motion using a coupled-pendulum chain." American Journal of Physics 83, no. 5 (May 2015): 389–94. http://dx.doi.org/10.1119/1.4905842.

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47

Wood, Herbert T. "The interrupted pendulum: A laboratory experiment in the conservation of energy." Physics Teacher 32, no. 7 (October 1994): 422–23. http://dx.doi.org/10.1119/1.2344063.

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48

Lewowski, Tadeusz, and Kazimierz Wozniak. "The period of a pendulum at large amplitudes: a laboratory experiment." European Journal of Physics 23, no. 5 (July 12, 2002): 461–64. http://dx.doi.org/10.1088/0143-0807/23/5/301.

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49

Babović, V. M., and S. Mekić. "The Bravais pendulum: the distinct charm of an almost forgotten experiment." European Journal of Physics 32, no. 4 (June 16, 2011): 1077–86. http://dx.doi.org/10.1088/0143-0807/32/4/020.

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50

Neill, Douglas, Dean Livelybrooks, and Russell J. Donnelly. "A pendulum experiment on added mass and the principle of equivalence." American Journal of Physics 75, no. 3 (March 2007): 226–29. http://dx.doi.org/10.1119/1.2360993.

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