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Unformatted text preview: x ) F ( x ) =sx Hooke sLaw , 1660 , England 2. Equation of Motion Newtons Law: F = ma (1686!, England) Gives us the following: F = ma =sx Notation x = dx/dt ; x = d 2 x/dt 2 Gives: m x =sx or m x + sx = 0 Will guess the solution for this second order differential equation x = a cos( t + ) a (Amplitude) and (Phase) are determined from initial conditions (must be two for a second order differential equation). is the oscillation frequency that is uniquely determined by the equations of motion....
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 Fall '07
 PierreSavaria
 Physics, mechanics, Statistical Mechanics

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