Persamaan Gerak Vertikal ke Bawah Dipengaruhi Gaya Gesek Udara Menggunakan Theorema Lagrange

Bambang Supriadi; Haniyah Alivia; Ratih Wahyudianti; Amar Ma’ruf Al Bawani

doi:10.30998/string.v8i2.17839

Persamaan Gerak Vertikal ke Bawah Dipengaruhi Gaya Gesek Udara Menggunakan Theorema Lagrange

Bambang Supriadi^(1*), Haniyah Alivia⁽²⁾, Ratih Wahyudianti⁽³⁾, Amar Ma’ruf Al Bawani⁽⁴⁾

(1)
(2) Universitas Jember
(3) Universitas Jember
(4) Universitas Jember
(*) Corresponding Author

Abstract

Many physics concepts are still not explained using mechanical equations, such as Newtonian and Lagrangian, especially in the context of downwardly vertical motion. This research investigates aspects of downwardly vertical motion that may or may not be affected by air friction. To examine this phenomenon, the researchers detail and compare the Newtonian and Lagrangian equations. Apart from that, there is a need for extensive literature studies on classical mechanics, including these theories (Newtonian, Lagrangian, and Hamiltonian). The method used in this study is a mathematical theoretical study by calculating the equation of downwardly vertical motion using partial differential equations from the Lagrangian equation to obtain the equation of downwardly vertical motion which is influenced by air friction. The results of this research reveal three Lagrange equations, namely the equations for acceleration, speed and position in the context of vertical motion which are influenced by air friction.

Keywords

Downwardly vertical motion; lagrangian; air friction

Full Text:

PDF

References

F.Y.H. Suharsono, W. Kusuma, F. Ummah, E. B. Ramadhan, B. Supriadi, "Metode Magic Number Untuk Penyelesaian Soal - Soal Energi Kinetik Relativistik," Science and Physics Education Journal (SPEJ), vol. 5, no. 2, pp. 40-46, 2022, doi:10.31539/spej.v5i2.3853

H. Ruspitasari, S. Supeno, and Y. Yushardi, “Kajian Kinematika Gerak Pada Gerak Kendaraan Bermotor Di Jalan Kabupaten Ngawi Sebagai Sumber Belajar Fisika,” ORBITA J. Kajian, Inov. dan Apl. Pendidik. Fis., vol. 8, no. 2, p. 282, 2022, doi: 10.31764/orbita.v8i2.9035.

Azhari and H. A. Sianturi, Buku Ajar Fisika Dasar Bagian 1. Pekalongan: Nasya Expanding Management, 2021. [Online]. Available: https://www.google.co.id/books/edition/Buku_Ajar_Fisika_Dasar/IG5LEAAAQBAJ?hl=id&gbpv=1

I. D. Handayani, S. Bektiarso, and S. Astutik, “Kajian kinematika jalur wisata gunung bromo melalui senduro- lumajang sebagai e-suplemen bahan ajar fisika SMA.,” FKIP e-PROCEEDING, 2019 - J. unej, vol. 4, no. 1, pp. 146–151, 2019.

N. Yuningsih and Y. C. Dewi, “Gaya Gesekan Udara Terhadap Benda yang Bergerak Vertikal Tanpa Kecepatan Awal,” Pros. Ind. Res. …, pp. 13–14, 2022, [Online]. Available: https://jurnal.polban.ac.id/ojs-3.1.2/proceeding/article/view/4337%0Ahttps://jurnal.polban.ac.id/ojs-3.1.2/proceeding/article/view/4337/2899

I. T. Emor, A. H. Mandolang, and J. Lolowang. ''Penggunaan kinemaster dan quizziz dalam pembelajaran fisika untuk meningkatkan hasil belajar siswa," Charm Sains: Jurnal Pendidikan Fisika, vol.3, no.2, pp. 54-59, 2022, doi:10.53682/charmsains.v3i2.158

A. Muzakki, I. N. Ramadhanti, I. N. Alifiyan, and T. S. Ayu, “Kajian Model Pembelajaran Fisika SMA pada Topik Kinematika Gerak Lurus,” Mitra Pilar J. Pendidikan, Inovasi, dan Terap. Teknol., vol. 1, no. 2, pp. 85–98, 2022, doi: 10.58797/pilar.0102.04.

Y. Ariyanti, P. Subekti, and H. Syahropi, “Studi Literatur : Mekanika Lagrange,” vol. 15, no. 1, pp. 55–58, 2022.

M. Ariska. "Penyelesaian Dinamika Pesawat Atwood dengan Persamaan Eular-Lagrange Sebagai ALternatif Persamaan Newton Pada Fisika SMA," Jurnal Inovasi dan Pembelajaran Fisika (JIPF), vol. 06, no. 1, pp. 62-69, 2019, doi:10.36706/jipf.v6i1.7816

S.S. Zahra, I. H. Syahbana, M. O. Wiyadnyana, and F. Anggraini, "Analisis Ayunan Pendulum Menggunakan Aplikasi Phypox Pada Materi Fisika Kelas X," Mitra Pijar: Jurnal Pendidikan, Inovasi, dan Terapan Teknologi, vol. 1, no. 2, pp. 43-64, 2022, doi:10.58797/pilar.0102.02

DOI: http://dx.doi.org/10.30998/string.v8i2.17839