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Following Newton's laws, we have
F = ma
where a represents
the acelleration of the object.
The acelleration is given by the second time derivative of the displacement.
We obtain
m d2u/dt2
= ma = F = - Celu
We thus end up with the second order differential equation
given by
d2u/dt2
= - (Cel/m) u
Solutions describe the motion of the oscillating object.
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