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- Title
Derivation of Newton's law of motion using Galileo's experimental data.
- Authors
Katsikadelis, John
- Abstract
Newton's law of motion is derived using Galileo's experimental data from the inclined plane. This is achieved by developing a simple system identification method using measured distances and corresponding times on the inclined plane and the concepts of the derivative and differential equation. The identification procedure yields the differential equation of motion of systems with constant as well as variable mass. As the employed mathematical tools were available before 1686, we are allowed to state that the equation of motion could have been established using only Galileo's experimental data, before Newton had published his law of motion. The differential equation of motion for systems with mass ejection (rocket equation) or mass accretion is also derived.
- Subjects
NEWTON'S laws of motion; DIFFERENTIAL equations; EQUATIONS of motion; MATHEMATICAL analysis; VARIABLE mass systems
- Publication
Acta Mechanica, 2015, Vol 226, Issue 9, p3195
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-015-1354-y