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A particle of mass m can move in one dimension under the influence of two springs connexted to fixed points a distance a apart (

A particle of mass

m

can move in one dimension under the influence of two springs

connexted to fixed points a distance a apart

(

see figure

) .

The springs obey Hooke's

law and have zero unstretched lengths and force constants

k_{1}

and

k_{2},

respectively.

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