circle root locus

[gudi]

A rigid closed loop is rotated around a point on y-axis in x - y
plane so that the loop never intersects y - axis, so it has complex
roots when intersecting x -axis. Using Laplace transforms or
otherwise, find its shape so that its root locus formed by rotation is
a circle.

http://groups.google.co.in/group/sci.math/browse_thread/thread/46ab04d3afba2f9d?hl=en

Regards
Narasimham

 

[gudi]

A rigid closed loop is rotated around a point on y-axis in x - y
plane so that the loop never intersects x - axis, so it has complex
roots when intersecting x -axis. Using Laplace transforms or
otherwise, find its shape so that the root locus formed by rotation
is
a circle.

http://groups.google.co.in/group/sci.math/browse_thread/thread/46ab04...

Regards
Narasimham

 

[gudi]

A rigid closed loop is rotated around a point on y-axis in x - y
plane so that the loop never intersects x - axis, so it has complex
roots when intersecting x -axis. Using Laplace transforms or
otherwise, find its shape so that the root locus formed by rotation
is a circle.

http://groups.google.co.in/group/sci.math/browse_thread/thread/46ab04d3afba2f9d?hl=en

Regards
Narasimham

 

[Ian Bell]

A rigid closed loop is rotated around a point on y-axis in x - y
plane so that the loop never intersects x - axis, so it has complex
roots when intersecting x -axis. Using Laplace transforms or
otherwise, find its shape so that the root locus formed by rotation
is a circle.

http://groups.google.co.in/group/sci.math/browse_thread/thread/46ab04d3afba2f9d?hl=en

Regards
Narasimham

Do your own homework

Cheers

Ian

 

[gudi]

Do your own homework

Cheers

Ian

This is not home-work, appreciate a clue.

Narasimham

 

[gudi]

How about a coherent problem statement then.  Does it intersect the x
axis or not?  How many dimensions are involved?

Two dimensional problem. It does not intersect x - axis, that is how
complex roots
arise as mentioned in original post.

Narasimham

 

[gudi]

How about a coherent problem statement then.  Does it intersect the x
axis or not?  How many dimensions are involved?

Two dimensional problem. It does not intersect x - axis, that is how
complex roots arise, as mentioned in original post. For ellipse as
in:

http://i43.tinypic.com/bbk76

Narasimham

 

[gudi]

How about a coherent problem statement then.  Does it intersect the x
axis or not?  How many dimensions are involved?

As an example for a rotating ellipse as in:

http://i43.tinypic.com/bbk76

When the closed curve is entirely above x - axis, the roots are
complex as stated in
original post, but not imaginary as stated in the above tinypic.

Narasimham