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is my diagram right?

sag in rope due to mass of rope ?

yes

that's the tension at the end of the rope , but i'm looking for the tension in the middle

oh tension can be different thru out the rope in this system ?

since the rope has mass... things may not be ideal hmm

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Is this a rope of uniform density?

Is it in a vaccuum with a neutral charge?

yes the rope is uniform density , and has a total mass of m

Tension at the middle? Where is the middle?

yes i think we can make these assumptions

yeah in the middle of the symmetric rope

It would depend on the length between tethers and the length of the rope.

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the tensions should be a function of (m,θ,g)

That's assuming all the mass is in the center?

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Since it has a uniform density, center of mass is there, so it's safe assumption.

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Yay necklaces!

dental plan

If you can solve for \(n\) beads, then you can solve by \(n\to \infty\).

integrals?

Assuming that the 'center of mass' thing works, then it's a matter of finding the right angle.

Do you think you can get that with \(\theta\)?

But is that angle even the right angle?

If it was a right angle, then there'd be no sag...

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