Proof: - Easy or tough?

Prove(mathematically as well by arguments) that the tension in a rope(massive or massless) will be along the rope everywhere.

#Mechanics #Newton'sLaws

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
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Comments

@David Mattingly , Please post its solution, sir.

Tushar Gopalka - 6 years, 8 months ago

Can anyone please solve this rigorously- @jatin yadav , @Ronak Agarwal, @Deepanshu Gupta

Tushar Gopalka - 6 years, 7 months ago

I didnt Know what type of proof you want But In my opinion if you take very very small element of Rope Then if rope is moving ( Say in downward direction ) Then on that element Net force is only due to tension and that must be in downward direction because it has to move in downward direction ( since rope is inextensible )

Am I missed something ?

@Tushar Gopalka

Karan Shekhawat - 6 years, 7 months ago

In any case, any situation..i.e in generality prove the above said statement

Tushar Gopalka - 6 years, 7 months ago

I don't think that it has any analytical Proof ! It is only based on feeling ! What do you think ?

Karan Shekhawat - 6 years, 6 months ago

@Karan Shekhawat – I think it’s because tension arises due to electromagnetic interactions between particles of the rope. In 1D, the particles of the rope are, well, along the rope, causing the tension to also point along the rope. Ig. Correct me if I’m wrong

Rohan Joshi - 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$