Can anyone solve this shape of a string puzzle?

In summary, the conversation is about a puzzle involving a horizontal string with an infinite mass and elasticity. One end of the string is extended to an infinite distance and has a tension T, while the other end has a constant upward force F acting on it. The question is what the wave profile or shape of the wave will be after a certain duration of time. It is determined that the string has mass distributed uniformly along its length and the problem is discussed in various textbooks. The end with the upward force will generate waves in the string, unless the lifting is adiabatic.
  • #1
Twukwuw
53
0
Can anyone solve this... "shape of a string" puzzle?

Let's say there is an infinite massless and elastic string, which laid horizontally and one of the ends is extended to infinite distance.
The string is "pulled" thoroughly and somehow, so that there is a tension T along it.
There is a CONSTANT force F acting upwards on the other end(at the POINT) :eek: , which will then "drag" the nearer part of the string upwards.
My question is simple,
What will be the wave profile(or the shape of the wave) after a duration t?

Is it a curve...or is it a combination of 1 section of slope string and 1 section of horizontal string? The horizontal section of the string "haven't experience the force yet."

Assume there is no other force other than F. The force F ONLY acts at the "end-POINT" of the string.

Welcome anyone who like to accept challenge.
Thanks.

Twukwuw. :biggrin:
 
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  • #2
What will be the acceleration of the end where upward force is applied? (The string is massless)
 
  • #3
The dynamics of an elastic string, finite or infinte, are discussed in many textbooks -- classical mechanics(Goldstein, Synge&Griff), quantum field theory(Zee, Gross), E&M(Jackson, Panofsky and Phillips), mathematical physics (Courant&hHilbert). As the end is lifted, it will generate waves in the string -- unless the lifting is adiabatic. Your problem is relatively standard -- a good problem for an advanced mechanics final exam.

Regards,
Reilly Atkinson
 
  • #4
correction

:tongue2: :tongue2:
 
  • #5
sorry, correction here:
the string has mass,
its mass is uniformly distributed along the line.
thanks~!
 
  • #6
good, if it didnt had a mass it would have to move at the speed of light
 

1. What is the shape of the string puzzle?

The shape of the string puzzle is a series of interconnected loops that form a specific shape, such as a square, triangle, or star.

2. How do you solve the shape of the string puzzle?

To solve the shape of the string puzzle, you need to carefully manipulate the strings and loops in a specific sequence to create the desired shape.

3. Can anyone solve the shape of the string puzzle?

Yes, anyone can solve the shape of the string puzzle with patience, determination, and a basic understanding of spatial reasoning.

4. How long does it take to solve the shape of the string puzzle?

The time it takes to solve the shape of the string puzzle varies depending on the complexity of the shape and the individual's problem-solving skills. It could take anywhere from a few minutes to several hours.

5. Are there any tips for solving the shape of the string puzzle?

Yes, some tips for solving the shape of the string puzzle include starting with the outermost loops, visualizing the shape before starting, and using trial and error to find the correct sequence of movements.

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