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.
Regards Narasimham
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.
Regards Narasimham
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.
Regards Narasimham
Do your own homework
Cheers
Ian
This is not home-work, appreciate a clue.
Narasimham
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
...
Two dimensional problem. It does not intersect x - axis, that is how complex roots arise, as mentioned in original post. For ellipse as in:
Narasimham
...
As an example for a rotating ellipse as in:
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
Have something to add? Share your thoughts — no account required.
Ask the community — no account required