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phyeinstein_c
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my teacher says that vectors can be translates which is fine... but hw can they be moved paralaly without couple acting on it//??
my teacher says that vectors can be translates which is fine... but hw can they be moved paralaly without couple acting on it//??
but if velocity vector mover parallaly from one end of a rigid body (not point mass) then it generates torque right??
but if velocity vector mover parallaly from one end of a rigid body (not point mass) then it generates torque right??
ok sry by torque i meant rotation.... velocity will be uniform is a case... but when the vector has been taken to one end of the body.. it shud rotate...couple will act only for forces right.
In applying the concept you may wish to distinguish between an individual arrow, and the class it represents. maybe this is what you call free and bound vectors, but i have never heard of them.
In applying the concept you may wish to distinguish between an individual arrow, and the class it represents. maybe this is what you call free and bound vectors, but i have never heard of them.
Let us start again at the beginning.
What system are you describing?
Is your rigid body translating or rotating about a pivot?
neither did i ever hear of such bounded vectors.... in any VECTOR by definition its only REPRESENTATION of magnitude and direction..... hw does it matter if it is bounded or unbounded or free....a mathematician will not understand a word you guys are saying. mathematically a vector in Euclidean space is an equivalence class of parallel arrows all with same direction and magnitude, and all having different endpoints. Any one of those arrows represents the vector. In that sense we say vectors can be translated. Some say more abstractly that a vector IS a translation of space, and is represented by the arrow drawn from any point to its translated image.
In applying the concept you may wish to distinguish between an individual arrow, and the class it represents. maybe this is what you call free and bound vectors, but i have never heard of them.
I chime in here because i thought maybe your teacher is a mathematician and does not know what you are talking about either.
can u discuss some cases (examples) of the 2 cases u metioned..hi mathwonk!
i'm sorry to disillusion you, but wikipedia has heard of them, see http://en.wikipedia.org/wiki/Euclidean_vector" [Broken] …
As an arrow in Euclidean space, a vector possesses a definite initial point and terminal point. Such a vector is called a bound vector. When only the magnitude and direction of the vector matter, then the particular initial point is of no importance, and the vector is called a free vector.
(though it then seems to get lost, see http://en.wikipedia.org/wiki/Euclidean_vector#In_Cartesian_space" )
in any VECTOR by definition its only REPRESENTATION of magnitude and direction
ohkk thats there but how does it matter in physics... the result of both is u have had the same displacement and u will have the same velocity etc. during both kind of journey.