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A mass suspended at the end of a light Spring and spring constant K is set...

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Electrical Engineering

A mass suspended at the end of a light Spring andspring constant K is set into vertical motion use lagrange'sequation to find the equation of motion of the mass

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3.5 Ratings (444 Votes)
the general form of the Lagrangian L T V T is the kinetic energy of the system The kinetic energy is equal to 1 2 mv 2 where m is the mass and v is the velocity of the mass There is no surprise yet and it comes as no surprise either that vx 2 vy 2 vz 2 1 2 So letting vx x and so on were the dot represents the time derivative we have the kinetic energy of the system T 1 2 mx 2 y 2 z 2 and we are now half way done The potential energy of the system consists of two parts The elastic potential energy stored in the displacement of the    See Answer
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