String Under Tension with a transvers force distribution

In summary, a string under tension with a transverse force distribution is when a string is pulled taut in one direction while experiencing forces acting perpendicular to its length. It can be caused by different factors and exhibits a combination of bending and stretching. The behavior of the string is affected by various factors and is studied and analyzed using mathematical models and physical experiments.
  • #1
ts547
8
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Homework Statement



A string under tension T is stretched between O and L , and a transverse force
distribution

F(x) = Ax(L-x)

is applied (A a constant). Find the transverse displacement pattern.


Homework Equations



Possibly the wave equation
lots of integrals


The Attempt at a Solution



Not to sure at the moment, having a mental block. A hint would be much appreciated. Trying to link to the wave equation.
 
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  • #2
Oh right, mental block over! I think Mr green has the solution! Thanks for the help :)
 

1. What is a string under tension with a transverse force distribution?

A string under tension with a transverse force distribution refers to a scenario in which a string or cable is being pulled taut in one direction while also experiencing forces acting perpendicular to its length.

2. What causes a string to be under tension with a transverse force distribution?

A string can be under tension with a transverse force distribution due to a variety of factors, such as being stretched between two points, being pulled by a weight or object, or being subjected to wind or other external forces.

3. How does a string behave under tension with a transverse force distribution?

When a string is under tension with a transverse force distribution, it will typically exhibit a combination of bending and stretching. The amount of bending and stretching will depend on the magnitude and direction of the forces acting on the string.

4. What factors affect the behavior of a string under tension with a transverse force distribution?

The behavior of a string under tension with a transverse force distribution can be affected by a number of factors, including the material and thickness of the string, the amount and direction of the forces acting on it, and the length and support points of the string.

5. How is the behavior of a string under tension with a transverse force distribution studied or analyzed?

Scientists and engineers use mathematical models and physical experiments to study and analyze the behavior of a string under tension with a transverse force distribution. This may involve calculating forces and stresses using equations and simulations, or conducting experiments with different materials and configurations to observe and measure the string's behavior.

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