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my teacher says that vectors can be translates which is fine... but homework can they be moved paralaly without couple acting on it//??
phyeinstein_c said:my teacher says that vectors can be translates which is fine... but homework can they be moved paralaly without couple acting on it//??
phyeinstein_c said: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??
phyeinstein_c said: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.
mathwonk said: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.
Studiot said: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... homework does it matter if it is bounded or unbounded or free...mathwonk said: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..tiny-tim said: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 that's 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.
Translation or parallel movement of vectors is the process of moving a vector from one position to another without changing its magnitude or direction. This is done by adding or subtracting a constant value to the x and y coordinates of the vector.
Translation involves moving a vector in a straight line, while rotation involves changing the direction of the vector by a certain angle. In translation, the magnitude of the vector remains the same, while in rotation, both the magnitude and direction can change.
Yes, translation can be applied to any type of vector, whether it is a geometric vector (represented by arrows) or a mathematical vector (represented by ordered pairs or coordinates).
Translation is used in mathematics to study and analyze the movement of objects in space. It is also used in geometry to determine the properties and relationships of translated figures.
Translation is useful in various real life applications, such as computer graphics, animation, and engineering. It is also used in navigation systems to determine the position of objects or vehicles in relation to a reference point.