Centroid
Centroid
(OP)
I was just working on a practical problem wherein i needed to calculate centroid of a curved wire.In my problem centroid happened to lie outside the wire.Can anyone tell if this is possible.If yes can you explain the reason physically?






RE: Centroid
RE: Centroid
I thought I would sympthize with you!
Hey, its been a long day
good luck!
RE: Centroid
In your case, similar to many other shapes like 'L' or other open curves, the centroid or the point at which the body can be balanced with a single support lies outside the body. This is purely due to the shape of the body.
If one needs to support such an object through this point, the object needs to be externally connected to this point suitably before providing such a support. For the other objects with their CG lying inside them, such an arrangement is not needed.
RE: Centroid
But lets say we have an object say a book.Now, is it possible for the book to be stable if i support it with just one support may be even at the centroid of the book?
RE: Centroid
I will put it a little diffrently for you to get the concept. The body will be in equillibrium under gravity load, if the resultant of the supporting forces ( may be one or more forces) passes through the centroid of the body. If the CG is outside the physical boundary of the body as the case you have come across, the supporting system shall be so defined to satisfy this condition to keep the body in equillibrium even under its own weight.
RE: Centroid