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Unformatted text preview: Section 3.4 Newtonian Mechanics Feb 12, 2009 Newtonian Mechanics Reminders A Summary of This Session: (1) Newtonian Models (Mechanics) Newtonian Mechanics Newtonian Mechanics What is Mechanics? It is the study of motion of objects under the effect of forces acting on those objects This is the foundation of several branches of physics and engineering Newtons law of motion: (1) When a body is subject to no external force, it moves at constant velocity (2) When a body is subject to one or more extrenal forces, the time rate of change of the bodys momentum is equal to the vector sum of external forces acting on it. (3) For every action, there is an equal and opposite reaction. Newtonian Mechanics What is momentum? We will only deal with one dimension motion m: mass of an object position of the object (with respect to some frame): x = x ( t ) velocity: v = dx dt acceleration: a = dv dt = d 2 x dt 2 momentum p = m v resultant (external) force exerted on the body of mass m : F = F ( t , x , v ) Newtons Law of Motion: F = m a In terms of the velocity v m dv dt = F ( t , x , v ) Newtonian Mechanics Newtons law of motion, contd...
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This note was uploaded on 04/07/2009 for the course MATH taught by Professor Lotfi during the Spring '09 term at University of Arizona Tucson.
 Spring '09
 Lotfi
 Differential Equations, Equations

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