Weakest link

Consider a chain (let's say 100 pieces) is spinning around. As its speed up, which link is the weakest one?

#Calculus

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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}`	$\boxed{123}$

Comments

What actually is meant by "weakest one" ?

Ram Mohith - 2 years, 2 months ago

Hi, Ram I assumed that the centrifugal force is not the same on every piece connection, right? Which link the force reached the maximum? That was my question.

Thanks!

Shawn Ben - 2 years, 2 months ago

The centrifugal force is given by $F_c = \dfrac{mv^2}{R}$ . So, as the distance of a particle from the center increases the centrifugal force acting on it decreases. Assuming that the the chain is symmetric the middle piece will receive the minimum force.

Ram Mohith - 2 years, 2 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}`	$\boxed{123}$