This string appears to be held up by nothing at all!
The plastic pieces help to provide tension in the string, but where is the support coming from? All of these are otherwise flimsy materials
What is the maximum height that this string can stretch out to? What would your answer depend on?
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
I agree with Pinak.
The plastic is in a deformed state and hence will tend to become straight.
It has been connected with the help of knots, the force that the plastic exerts on the knots will result in a tension in the rope.
The entire system can be thought of as a spring having some mass.
The maximum height will depend on the effective spring constant, (which will depend on the elasticity constant of the plastic and the string, if it is extensible) and the total mass.
Log in to reply
Astute.
The potential energy stored in the plastic when it is bent?
Just like a spring will support mass when compressed.
9.8 metres....equilibrium of deformed string
total height achieved should depend on the mass of the string, the stiffness of the plastic pieces.... .....oh, n the length of the string :)
The stress generated in the plastic due to tensile force is providing the rope required tension.
spring constant
Height depends on base .and the trick based on force against force.