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Exploring Applications of Lagranges Equations in Technology: A Systematic Literature Review Damayanti, Fitria Siska; Noviana, RA Sania; Lestari, Yora Inda; Akhsan, Hamdi; Ismet, Ismet
Aceh International Journal of Science and Technology Vol 13, No 2 (2024): August 2024
Publisher : Graduate School of Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13170/aijst.13.2.39380

Abstract

Lagrange's equation is a formula in analytical mechanics used to solve problems with physical system dynamics. It allows mathematical modeling to simplify complex mechanical problems by changing the coordinate system, thus providing a deeper understanding of motion. In this research, a literature study was conducted using the Systemic Literature Review (SLR) method from 30 data sources, 24 of which were indexed by Scopus. A total of 11 articles have been reviewed with a focus on the application of Lagrange's equation in various technologies. The review results show that Lagrange multipliers provide a powerful tool for optimizing energy flow within complex smart grids. The benefits extend beyond smart grids. Lagrange's equations are a powerful mathematical tool applicable to various engineering challenges that involve finding optimal solutions under constraints.
STEM Integration in Karate Sport as Physics Learning Media: Development, Validation, and Analysis of Student Learning Outcomes on Impulse and Momentum Materials Noviana, RA Sania; Sriyanti, Ida; Bayu, Wahyu Indra; Rahman, Nor Farahwahidah binti Abdul
Jurnal Penelitian Pendidikan IPA Vol 11 No 9 (2025): September
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v11i9.11972

Abstract

Creative thinking skills are essential competencies in the 21st century, involving cognitive processes and divergent thinking to generate innovative solutions from various perspectives. This study aims to develop and implement a STEM-based learning approach integrated with physics, focusing on impulse and momentum, to improve students' creative thinking skills. Karate is utilized as a contextual medium to facilitate real-life application of physics concepts. The research applies the Research and Development (R&D) method using the 4D model: Define, Design, Develop, and Disseminate. Validation involved nine experts, consisting of lecturers and teachers, who provided feedback to refine the developed e-module. Content validity was assessed using the Content Validity Ratio (CVR) and Content Validity Index (CVI), both reaching 1.00 (100%) across all aspects such as content relevance, Problem-Based Learning (PBL) suitability, ability to assess creative thinking, and design feasibility. Product trials with 101 senior high school students demonstrated significant improvement in creative thinking skills, as shown by an N-Gain score of 0.72. These findings indicate that the developed STEM-based e-module is effective in enhancing students' understanding of physics through contextual and engaging learning.