Helix Formation with Elastic Rope: Equations of Motion for X(t) and (Theta)(t)

In summary, elastic forming a helix is a process where a flexible material is twisted into a spiral shape due to its elasticity and tension. This can be seen in everyday objects like slinkies and phone cords, as well as in natural phenomena like tornadoes and DNA. It has practical applications in various industries, including manufacturing, construction, and medicine.
  • #1
gabrielbhl
13
0
If I have an elastic formin a helix which I've turned N times and have a radiu r... it connect two masse m (one of them is fixed) - the natural length of the ropes are X_0 (the distance between the masses)
what are the equation of motion X(t) and (Theta)(t) ??
 
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  • #2
this masses are cirular of radiu r, that is: I=mr²
 
  • #3
ur english is really confusing, maybe u want to try drawing a diagram?
 

FAQ: Helix Formation with Elastic Rope: Equations of Motion for X(t) and (Theta)(t)

What is elastic forming a helix?

Elastic forming a helix is a process in which a flexible material, such as a rubber band or spring, is twisted into a spiral shape resembling a corkscrew or DNA strand. This is often seen in objects like slinkies or hair ties.

How does elastic form a helix?

Elastic materials have the ability to stretch and contract, allowing them to be twisted or coiled into a helical shape. The elasticity of the material allows it to maintain its shape while also having the flexibility to be stretched and twisted.

What causes elastic to form a helix?

The shape of a helix is caused by the combination of tension and elasticity in the material. When a force is applied to one end of the elastic, it creates tension which pulls the material in one direction. This tension, combined with the material's elasticity, causes it to twist and form a helix.

What are some real-world examples of elastic forming a helix?

Elastic forming a helix is seen in many everyday objects, such as phone cords, springs in mechanical devices, and the coils in mattresses. It is also seen in natural phenomena, such as the DNA double helix and the spiral shape of tornadoes.

What are the practical applications of elastic forming a helix?

Elastic forming a helix has practical applications in various industries, such as manufacturing, construction, and medical. It is used to create springs and coils for machinery, provide support and structure in buildings, and even in medical devices such as stents and catheters.

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