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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Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

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 mp 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.
mp
x(t)
0
Mc
gl
F

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All 4 pls