Analytic mechanics is a branch of physics that deals with the study of motion and forces using mathematical tools such as calculus and differential equations. It is a fundamental part of modern physics and is used in various fields such as engineering, astronomy, and robotics.
Definitions
Analytic mechanics is defined as the study of motion and forces using mathematical tools such as calculus and differential equations. It is a branch of physics that focuses on the analysis of mechanical systems, including their motions, energy, and forces.
Origin
The origin of analytic mechanics can be traced back to the work of Isaac Newton in the 17th century. Newton formulated his laws of motion and developed the calculus to describe the motion of objects. Later, the work of Leonhard Euler, Joseph-Louis Lagrange, and William Rowan Hamilton further developed the field of analytic mechanics.
Meaning in different dictionaries
According to the Oxford Dictionary, analytic mechanics is “the branch of mechanics concerned with the motion and equilibrium of systems under the influence of forces, using mathematical methods such as calculus and differential equations.”
The Merriam-Webster Dictionary defines analytic mechanics as “the branch of mechanics that deals with the motion of systems under the influence of forces using mathematical analysis, especially calculus and differential equations.”
Associations
Analytic mechanics is associated with various fields such as engineering, physics, and mathematics. It is used in the design and analysis of mechanical systems, including machines, structures, and vehicles.
Synonyms
Synonyms of analytic mechanics include theoretical mechanics, mathematical mechanics, and rational mechanics.
Antonyms
There are no direct antonyms of analytic mechanics, but it can be contrasted with experimental mechanics, which involves the testing and measurement of physical systems.
The same root words
The same root words of analytic mechanics include analysis, which refers to the process of breaking down complex systems into simpler components for study, and mechanics, which refers to the study of motion and forces.
Example Sentences
- The engineers used analytic mechanics to design the new bridge.
- Analytic mechanics is a fundamental part of modern physics.
- The study of analytic mechanics requires a strong foundation in calculus and differential equations.
- William Rowan Hamilton made significant contributions to the field of analytic mechanics.
- The principles of analytic mechanics are used in the design of spacecraft and satellites.