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Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup

Year 2015, Volume: 5 Issue: 1, 55 - 62, 23.07.2016

Siti Nurul Khotimah Luman Haris Sparisoma Viridi Widayani Khairurrijal

Abstract

A method of simple harmonic motion (SHM) experiment is proposed. The SHM of a loadspring system is observed through the use of force sensor to measure the force acting on the spring. The data will then be further analyzed to derive the kinematic of load. Through the enforcement of Newton’s second law of motion, this method is able to produce two out of three kinematic quantities; x(t)andat. It will then be completed through numerical approach such as Euler method and central finite difference. The experimental data are used to determine appropriate initial conditions for numerical approach, and initial phase angle for constructing the theoretical kinematics. The result was further validated through the ellipse trajectory in phase-space. Hence, the experiment proved to be capable of producing simple harmonic motion without raising the complexity level. It can also produce all of the necessary quantities needed to provide SHM kinematics in the form of both graphs and equations

Keywords

simple harmonic motion oscillation force sensor Euler method phase space

References

  • Beléndez A, Hernández A, Beléndez T, Neipp C, & Márquez A (2007). Application of Homotopy Perturbation Method to the Nonlinear Pendulum. Eur. J. Phys, 28 (1), 93-104.
  • Halliday David, Resnick Robert, & Walker Jearl (2011). Principles of Physics, 9th ed, International Student Version. Asia: John Wiley & Sons, Inc, 386-387.
  • Tyler F (1967). A laboratory Manual of Physics, 3th ed. London: Edward Arnold (Publishers) ltd, 1.
  • Thornton RK & Sokoloff DR (1990). Learning Motion Concepts using Real-Time Microcomputer-Based Laboratory Tools. Am. J. Phys., 58(9), 858-867.
  • Triana CA & Fajardo F (2012). The Influence of Spring Length on the Physical Parameters of Simple Harmonic Motion. Eur. J. Phys., 33 (1), 219-229.
  • Baylor University (2010). Mechanical Behavior of a Spring. Sample Lab Report.
  • Eduardo E. Rodriguez & Gabriel A. Gesnouin (2007). Effective Mass of an Oscillating Spring. The Physics Teacher. 45, 100-103.
  • Pasco (2014). Simple Harmonic Motion. Teacher Information, 1-15.
  • Kaiser JF. (1990). On a Simple Algorithm to Calculate the `Energy' of a Signal. International Conference on Acoustics, Speech, and Signal Processing (ICASSP-90). 1, 381 – 384.
  • Vernier Software & Technology (2014). Computer Experiment 16: Simple Harmonic Motion, Evaluation Copy of the Vernier Student Lab. 16.1-16.5.

Year 2015, Volume: 5 Issue: 1, 55 - 62, 23.07.2016

Siti Nurul Khotimah Luman Haris Sparisoma Viridi Widayani Khairurrijal

Abstract

References

  • Beléndez A, Hernández A, Beléndez T, Neipp C, & Márquez A (2007). Application of Homotopy Perturbation Method to the Nonlinear Pendulum. Eur. J. Phys, 28 (1), 93-104.
  • Halliday David, Resnick Robert, & Walker Jearl (2011). Principles of Physics, 9th ed, International Student Version. Asia: John Wiley & Sons, Inc, 386-387.
  • Tyler F (1967). A laboratory Manual of Physics, 3th ed. London: Edward Arnold (Publishers) ltd, 1.
  • Thornton RK & Sokoloff DR (1990). Learning Motion Concepts using Real-Time Microcomputer-Based Laboratory Tools. Am. J. Phys., 58(9), 858-867.
  • Triana CA & Fajardo F (2012). The Influence of Spring Length on the Physical Parameters of Simple Harmonic Motion. Eur. J. Phys., 33 (1), 219-229.
  • Baylor University (2010). Mechanical Behavior of a Spring. Sample Lab Report.
  • Eduardo E. Rodriguez & Gabriel A. Gesnouin (2007). Effective Mass of an Oscillating Spring. The Physics Teacher. 45, 100-103.
  • Pasco (2014). Simple Harmonic Motion. Teacher Information, 1-15.
  • Kaiser JF. (1990). On a Simple Algorithm to Calculate the `Energy' of a Signal. International Conference on Acoustics, Speech, and Signal Processing (ICASSP-90). 1, 381 – 384.
  • Vernier Software & Technology (2014). Computer Experiment 16: Simple Harmonic Motion, Evaluation Copy of the Vernier Student Lab. 16.1-16.5.
There are 10 citations in total.

Details

Other ID JA56FE94JV
Journal Section Articles
Authors

Siti Nurul Khotimah This is me

Luman Haris This is me

Sparisoma Viridi This is me

Widayani Khairurrijal This is me

Publication Date July 23, 2016
Published in Issue Year 2015 Volume: 5 Issue: 1

Cite

APA Khotimah, S. N., Haris, L., Viridi, S., Khairurrijal, W. (2016). Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup. TOJSAT, 5(1), 55-62.
AMA Khotimah SN, Haris L, Viridi S, Khairurrijal W. Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup. TOJSAT. July 2016;5(1):55-62.
Chicago Khotimah, Siti Nurul, Luman Haris, Sparisoma Viridi, and Widayani Khairurrijal. “Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup”. TOJSAT 5, no. 1 (July 2016): 55-62.
EndNote Khotimah SN, Haris L, Viridi S, Khairurrijal W (July 1, 2016) Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup. TOJSAT 5 1 55–62.
IEEE S. N. Khotimah, L. Haris, S. Viridi, and W. Khairurrijal, “Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup”, TOJSAT, vol. 5, no. 1, pp. 55–62, 2016.
ISNAD Khotimah, Siti Nurul et al. “Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup”. TOJSAT 5/1 (July 2016), 55-62.
JAMA Khotimah SN, Haris L, Viridi S, Khairurrijal W. Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup. TOJSAT. 2016;5:55–62.
MLA Khotimah, Siti Nurul et al. “Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup”. TOJSAT, vol. 5, no. 1, 2016, pp. 55-62.
Vancouver Khotimah SN, Haris L, Viridi S, Khairurrijal W. Simple Harmonic Motion Experiment Using Force Sensor: Low Cost and Single Setup. TOJSAT. 2016;5(1):55-62.