Difference between revisions of "Newton laws of mechanics"
From Encyclopedia of Mathematics
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The three basic laws describing the motion of material bodies under the action of forces applied to them. | The three basic laws describing the motion of material bodies under the action of forces applied to them. | ||
First law: If no forces act on a material point (or if the forces applied to it are in equilibrium), then relative to an inertial [[Reference system|reference system]] the material point is in a state of rest or uniform rectilinear motion. | First law: If no forces act on a material point (or if the forces applied to it are in equilibrium), then relative to an inertial [[Reference system|reference system]] the material point is in a state of rest or uniform rectilinear motion. | ||
| − | Second law: If a force | + | Second law: If a force $\mathbf F$ acts on a material point, then relative to an inertial reference system the point undergoes an acceleration $\mathbf a$ such that its product with the mass $m$ of the point is equal to $\mathbf F$: |
| − | + | $$m\mathbf a=\mathbf F.$$ | |
Third law: Two material points act on each other with forces that are equal in absolute value but opposite in direction along the line joining the two points. | Third law: Two material points act on each other with forces that are equal in absolute value but opposite in direction along the line joining the two points. | ||
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The laws were stated by I. Newton in 1687. | The laws were stated by I. Newton in 1687. | ||
| + | ====References==== | ||
| + | <table> | ||
| + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> R.B. Lindsay, H. Margenau, "Foundations of physics" , Dover, reprint (1957)</TD></TR> | ||
| + | <TR><TD valign="top">[a2]</TD> <TD valign="top"> D.E. Rutherford, "Classical mechanics" , Oliver & Boyd (1957)</TD></TR> | ||
| + | <TR><TD valign="top">[a3]</TD> <TD valign="top"> Th.T. Taylor, "Mechanics: classical and quantum" , Pergamon (1976)</TD></TR> | ||
| + | </table> | ||
| − | + | [[Category:Mechanics of particles and systems]] | |
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Latest revision as of 17:49, 13 August 2023
The three basic laws describing the motion of material bodies under the action of forces applied to them.
First law: If no forces act on a material point (or if the forces applied to it are in equilibrium), then relative to an inertial reference system the material point is in a state of rest or uniform rectilinear motion.
Second law: If a force $\mathbf F$ acts on a material point, then relative to an inertial reference system the point undergoes an acceleration $\mathbf a$ such that its product with the mass $m$ of the point is equal to $\mathbf F$:
$$m\mathbf a=\mathbf F.$$
Third law: Two material points act on each other with forces that are equal in absolute value but opposite in direction along the line joining the two points.
Newton's laws of mechanics cease to be valid for motions of objects of very small dimension (elementary particles) and for motions with velocities close to that of light.
The laws were stated by I. Newton in 1687.
References
| [a1] | R.B. Lindsay, H. Margenau, "Foundations of physics" , Dover, reprint (1957) |
| [a2] | D.E. Rutherford, "Classical mechanics" , Oliver & Boyd (1957) |
| [a3] | Th.T. Taylor, "Mechanics: classical and quantum" , Pergamon (1976) |
How to Cite This Entry:
Newton laws of mechanics. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Newton_laws_of_mechanics&oldid=19227
Newton laws of mechanics. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Newton_laws_of_mechanics&oldid=19227
This article was adapted from an original article by S.M. Targ (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article