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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 Newton’s 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 body’s 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 ) Newton’s Law of Motion: F = m a In terms of the velocity v m dv dt = F ( t , x , v ) Newtonian Mechanics Newton’s law of motion, cont’d...
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 Spring '09
 Lotfi
 Differential Equations, Equations, Force, Mass, Newtonian mechanics

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