A particle of mass m is in a one-dimensional potential field, where its potential energy depends on the coordinate x as U (x) = U,(1 – cos(ax)), U, and a are some constants. Find the period of small oscillations of the particle near the equilibrium position. d U(x). Note: F(x) = oscillations are small→ small deviation from the equilibrium position! dx %3D

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A particle of mass m is in a one-dimensional potential field, where its potential energy depends
on the coordinate x as U(x) = U,(1 – cos(ax)), U, and a are some constants.
Find the period of small oscillations of the particle near the equilibrium position.
d U(x).
Note: F(x) =
dx
oscillations are small→ small deviation from the equilibrium position!
Transcribed Image Text:A particle of mass m is in a one-dimensional potential field, where its potential energy depends on the coordinate x as U(x) = U,(1 – cos(ax)), U, and a are some constants. Find the period of small oscillations of the particle near the equilibrium position. d U(x). Note: F(x) = dx oscillations are small→ small deviation from the equilibrium position!
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