The diagram models a juggler balancing a pole on her nose. The pole has length L and is modeled as a a mass-less rod with a point mass m, located at the distal end. The rod is attached via a- friction-less pin to the cart Me. By moving her head (mass Me) she can correct any tendency for the pole to flop over. This is accomplished by supplying a force F to her head by neck muscles (not shown). This makes a nice 410 project, except that first we have to find the transfer function. Find the full non-linear dynamics equations. HINT: Use the energy method discussed in class.

The diagram models a juggler balancing a pole on her nose. The pole has length L and is modeled as a a mass-less rod with a point mass m, located at the distal end. The rod is attached via a- friction-less pin to the cart Me. By moving her head (mass Me) she can correct any tendency for the pole to flop over. This is accomplished by supplying a force F to her head by neck muscles (not shown). This makes a nice 410 project, except that first we have to find the transfer function. Find the full non-linear dynamics equations. HINT: Use the energy method discussed in class.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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