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George Mason University ITE Department Systems Department

System's Solution


Our B, the frictional force is equal 0.06
The moment of inertia J, on an average is equal to 90 kg
and the front and rear gears are 7 and 3 respectively

Therefor our equation becomes

Since the forcing function of the above homogeneous equation equal to zero, our characteristic equation becomes

where r is the root

The complete solution of the differential equation equals

0.12A = (7/3)
A = 19.2

y(t) =



Substituing K with the results obtain above, our general solution equals

-19.2e^(-0.0013t) + 19.2

The Laplace Tranform equal
   
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