What is the Velocity of a Cylinder on an Inclined Plane with a Magnetic Field?

Thread starter Hamal_Arietis
Start date Jun 29, 2016
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Cylinder Motion

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SUMMARY

The discussion focuses on calculating the velocity of a disk rolling down an inclined plane while interacting with a magnetic field. The problem involves applying Newton's laws, Ohm's law, and the conservation of energy principles to derive the necessary equations. Key equations include the Lorentz force, current density, and power dissipation, with participants emphasizing the complexity of modeling the interaction between the magnetic field and the rolling cylinder. The consensus is that approximations may be necessary to simplify the differential equations involved.

PREREQUISITES

Understanding of Newton's laws of motion
Familiarity with electromagnetism, specifically Lorentz force and Ohm's law
Knowledge of conservation of energy principles in mechanics
Ability to solve differential equations related to motion and forces

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Explore the derivation of the Lorentz force and its implications in rolling motion
Study the conservation of energy in systems involving magnetic fields
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Investigate numerical methods for solving complex differential equations in physics

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Physics students, educators, and researchers interested in dynamics, electromagnetism, and the mathematical modeling of physical systems involving magnetic fields and rolling motion.

Jul 4, 2016

Delta2

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Ok so I see now if I do a change of variable ##X=x-R## in my equation I get exactly the same equation as yours, up to constants, since the first and second derivative of X will not yield additional terms.

have to check the constants though, my constants will have to be the same as yours if I take ##R_y, R_x## to be just the internal resistances of the voltage sources ##E_y,E_x##