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
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!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cbfe2be-eae1-471c-81b6-29f7e43fb056%2F024da84e-f3d1-4f4f-9e8e-bcdd755eb165%2Fhjqmx5_processed.jpeg&w=3840&q=75)
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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