Motion of spring mass with charge in magnetic field

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Homework Help Overview

The discussion revolves around the motion of a charged particle attached to a spring within a magnetic field. Participants are exploring the complexities of this system, particularly how the spring's dynamics interact with the magnetic forces acting on the charge.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster questions how to determine the general motion of a charge attached to a spring in a magnetic field, comparing it to gyroscopic motion. Some participants suggest writing out the equations of motion, while others inquire about the influence of the spring on the particle's trajectory.

Discussion Status

Participants are actively engaging with the problem, discussing potential equations of motion and the role of vectors in describing the forces involved. There is no explicit consensus yet, but various lines of reasoning are being explored.

Contextual Notes

There are indications of uncertainty regarding the appropriate mathematical representation of the forces, particularly how to account for the spring's motion in relation to the magnetic field's orientation.

madking153
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hi,

got a difficult question to ask :

we can easily find the motion of charge in magnetic field.But now if the charge is attached to a spring, how can we find the general motion ?

is it like a gyroscope ?

thanks
 
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A charged particle in a magnetic field with move according to \vec{v}\,\times\,\vec{B}. How the spring would inflence this depends on the equilibrium position of the spring with respect to the trajectory of the particle.

Have you tried to write out the equation(s) of motion for the system?
 
ya, i don't know is right or wrong -
dv/dt= qBv/m -kx

but the spring's motion is in x y plane ( if z is magnetic field) - how can i decribe the force cause by spring ?
 
How about using vectors?
 
excuse me... how to start a new thread, please...
 

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