Two blocks connected by a string with variable tension: a dynamic case

In this paper, the dynamic case of a system made up of two blocks connected by a string over a smooth pulley is revisited. One mass lies on a horizontal surface without friction, and the other mass has a vertical displacement. The motion equation is obtained and its solution is determined using the...

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Bibliographic Details
Published in:Physics education 2020-09, Vol.55 (5), p.55022
Main Authors: Suárez, H J Herrera, Machado-Higuera, M, Muñoz, J H
Format: Article
Language:English
Subjects:
Data acquisition
data acquisition system
Educational Technology
Equations (Mathematics)
Equations of motion
Mathematical analysis
Mechanics (Physics)
newtonian mechanics
Polynomials
Science Experiments
Science Instruction
Scientific Concepts
Strings
Technology Uses in Education
tracker
Variable tension
Vertical orientation
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Summary:In this paper, the dynamic case of a system made up of two blocks connected by a string over a smooth pulley is revisited. One mass lies on a horizontal surface without friction, and the other mass has a vertical displacement. The motion equation is obtained and its solution is determined using the Mathematica package. Also an experimental montage for this system is made and experimental data for the vertical position y in the function of time t are obtained using a data acquisition system and Tracker video analysis. The relation y vs t can be represented by a polynomial of degree six. An average relative error of 3.61(10.14)% is obtained between the theoretical results acquired with Mathematica and the data taken from Tracker (data acquisition system).
ISSN:0031-9120
1361-6552
DOI:10.1088/1361-6552/ab9956