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

Answer 1

my^dotdot = -dy^dot - mg + f As we can see that force by magnet on tube is downward. Using newton's third law there must be and equal and opposite force on magnet due to tube so it must be upward v = -y^dot, negative sign shows that relative velocity is decreasing with displacement.