Coupled pendulums: a physical system for laboratory investigations at upper secondary school
نویسندگان
چکیده
The topic of coupled oscillations is rich in physical content which is both interesting and complex. The study of the time evolution of coupled oscillator systems involves a mathematical formalization beyond the level of the upper secondary school student’s competence. Here, we present an original approach, suitable even for secondary students, to investigate a coupled pendulum system through a series of carefully designed hands-on and minds-on modelling activities. We give a detailed description of these activities and of the strategy developed to promote both the understanding of this complex system and a sound epistemological framework. Students are actively engaged (1) in system exploration; (2) in simple model building and its implementation with an Excel spreadsheet; and (3) in comparing the measurements of the system behaviour with predictions from the model.
منابع مشابه
Control of wave motion in the chain of pendulums ⋆
The problem of controlled excitation of oscillations in a chain of N coupled pendulums is considered. Such a problem may arise when studying different physical and mechanical systems and is also of interest for design of prospective laboratory equipment for control education. The simulation results for the chain of 50 pendulums are given. The multi-pendulum mechatronic setup from 50 computer-co...
متن کاملAnalysis of the Coupled Nonlinear Vibration of a Two-Mass System
This paper presents a fixed-end two-mass system (TMS) with end constraints that permits uncoupled solutions for different masses. The coupled nonlinear models for the present fixed-end TMS were solved using the continuous piecewise linearization method (CPLM) and detailed investigation on the effect of mass-ratio on the TMS response was conducted. The investigations showed that increased mass-r...
متن کاملUsing an Online Remote Laboratory for Electrical Experiments in Upper Secondary Education
The use of remote laboratories in courses at university level has been reported in literature numerous times since the mid 90’s. In this article focus is on activities carried out by teachers and students, at the Upper Secondary School Level, using the remote laboratory VISIR (Virtual Instrument Systems in Reality). The Upper Secondary School, Katedralskolan in Lund, Sweden, cooperate with Blek...
متن کاملA Study of Super Nonlinear Motion of Electrostatically Coupled Two-Particle System
We consider a pair of nonidentical mechanical pendulums. The bob of each pendulum in addition to its own mass electrically is charged. The pendulums are hung from a common pivot in a vertical plane forming a slanted asymmetric shaped figure. For arbitrary initial swings that are not necessarily confined to small angles, we analyze the dynamics of each bob under the influence of gravity’s pull...
متن کاملThe Effect of Upper Limb Exercise on the Readmission Rate of Myocardial Infarction Patients
Background Myocardial infarction (MI) is among the most frequent causes of mortality and morbidity, with socioeconomic harms. Upper limb exercise, as part of cardiac rehabilitation program, is one of the secondary prevention methods of further MI and disease improvement. Objective The present study investigated the effect of upper limb sport on the rate of readmission in patients with myocard...
متن کامل