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Re: Tension, scalar or vector?




In article <[EMAIL PROTECTED]>, Igor Khavkine <[EMAIL PROTECTED]> writes
[EMAIL PROTECTED] (Peter R. Oakfield) wrote in message
news:<[EMAIL PROTECTED]>...

Hi. I am in a big argument regarding tension, like in a cord or
string. Some knowledgeable people tell me it is a vector; others say
it is a scalar. The implications are important. I think it is a
scalar, because it has no unique direction and I cannot imagine the
meaning of negative tension. Who is right? Could someone please help
me?

Tension is a scalar. You can always write the force of tension along a rope as T*t.

I.e. the tension is a vector.


Where t is the unit vector tangen to the rope.
Since force is a vector and t is a vector, then T, which is the magnitude
of the tension or just "tension", must be a scalar.

I.e. T is the magnitude of tension, a vector.


Hmm, negative tension... I don't see a reason why this can't exist,
<snip>
I would imagine that any configuration of a rope with
negative tension is unstable, as the rope would prefer to bend itself
than be in that situation. So in real life they do not occur.

A rope does not support compression. All that means is the correspondence between maths and physics breaks down. Try a rod.





Regards


--
Charles Francis




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