The equation for the motion of a spring mass with charge in a magnetic field is given by F = qvBsinθ, where F is the force, q is the charge, v is the velocity, B is the magnetic field, and θ is the angle between the velocity and the magnetic field.
The magnetic field causes a force to act on the charged particle, which results in a change in its direction of motion. This is because the magnetic field exerts a force perpendicular to the velocity of the particle, causing it to move in a circular or helical path.
The spring provides a restoring force that opposes the motion of the charged particle. This allows the particle to oscillate back and forth, resulting in a periodic motion.
The mass of the particle does not affect the magnitude of the force exerted by the magnetic field. However, it does affect the rate at which the particle accelerates and the frequency of its oscillations.
The greater the velocity of the particle, the greater the magnitude of the force exerted by the magnetic field. This means that a stronger magnetic field will result in a greater change in the direction of motion of the particle.