Question

1 Tasks In the class, we showed that a magnet free falling inside a copper tube experiences a braking force that slows down its fall. You are to re-explain this phenomenon using approximate yet sufficient detail math description and validate the explanation using simulation to validate the experimental observation. The tasks are: 1) Refer to the diagram on Appendix A, sketch clearly in your own interpretation of the Faraday's and Lorentz's law in the dash magenta oval in the diagram showing the falling magnet in the tube. Submit the sketch 2) The math description shown below for the magnet in the tube motion and have been verified to be correct using the Simulink model. Explain clearly the questions in the 2"d & 3d equations using physics principles. Hint: Newton's third law of motion & relative speed, f Bli Lorentz law shows that f points downward. -d-mg+fWhy does f have a positive sign (points up instead of down)? Why does v--i, where vis the velocity for the Faraday's lavw v=-j, e- Blv Faraday's law Circumference Ohm's lae Appendix A. Math Modeling of Magnet Motion in Copper Tube 3 Visualization of magnetic braking phenomenon for a free falling magnet in a copper t tube La Force ng Field Fireld 1e/ acc You (1) my--dy-me-人 Newton's law, (2) 1-2 R/ 4.--:.. I Faraday's law (right hand rule) at this location 3)-Veocity standing on copper (4) e(vx B)I (4) eBlv Faraday's law and (5) 1- Ohm's law Sketch f-Bl Lorentz's law Lorentz's law at this location () Newton's 3rd law -0.01] mass d-0.01N viscous friction coef -981 gravitati onal constant P-0.01 (m 2-0.1 [01 B-2 [HA effective magnetic flux density f braking force acting on MMagnet e- effective emf generated by magnet - effective curent generated radius of copper tube effective resistance of electrical path

Answer 1

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