Tension in Strings HELP thanks-very simple.

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    Strings Tension
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SUMMARY

The discussion focuses on calculating the tension in a string supporting a 16 kg mass in equilibrium and determining the frequency required for a standing wave pattern. The tension in the string is derived from the weight of the mass, calculated as 156.96 N, and the equilibrium condition leads to the equation 1.491F = mg, resulting in a tension of approximately 105.30 N. For part B, the user initially miscalculated the frequency, which is linked to the wave properties of the string.

PREREQUISITES
  • Understanding of Newton's laws of motion, particularly equilibrium conditions.
  • Knowledge of trigonometry for calculating angles and components of forces.
  • Familiarity with wave mechanics, specifically standing waves and their frequencies.
  • Ability to apply the wave speed formula: v = √(T/μ), where T is tension and μ is linear mass density.
NEXT STEPS
  • Learn how to derive tension in strings using equilibrium conditions in physics.
  • Study the relationship between wave speed, tension, and linear mass density in strings.
  • Explore the concept of standing waves and their formation in strings.
  • Investigate the calculation of frequencies for different harmonic modes in vibrating strings.
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Students studying physics, particularly those focusing on mechanics and wave phenomena, as well as educators seeking to enhance their teaching methods in these areas.

  • #61
The real question is do you understand it and would you be able to do a similar one again with no help?
 
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  • #62
and yah , that is why i need so much help on these questions because we don't have books! haha

okay so for part b the answer would be 1.72089Hz
 
  • #63
probably not, i need a suggestion for ONE good BOOK for PHysics that is not too expensive.
 
  • #64
nvm that part b answer is wrong. i don't get it. wouldn't harmonic=3
 
  • #65
I would talk to your teacher about it and say that you are looking for a book to help provide a base for your work. If you have solved the whole question mark the thread as solved.

Thread tools > Mark thread as solved
 
  • #66
and wouldn't the wavelenth be 3.33333 because L= x*wavelength /2 and L=10 and x=3 so wavelength equal 3.3333333
or do i solve for frequency through finding the velocity which is the square root of Tension/Density
 
  • #67
i know how to mark the thread as solved, however we have not finished the problem, there is a part b) it is on the first page of this thread.
 
  • #68
right?
 
  • #69
mayday or doc al can you help with part b)
 
  • #70
The standing wave pattern on the string segment (whose length is 2m) contains how many wavelengths? Use that to figure out the wavelength.
 
  • #71
do you mean i use the equation: (m*wavelength)/d = x/L
 
  • #72
right?
 
  • #74
At what frequency must the string between the pulleys vibrate in order to form the standing-wave pattern shown in Figure b)?


okay astronuc according to your first website this is my answer, is this right? .5736Hz
 
Last edited:
  • #75
is this right?
 
  • #76
Please Please Please Help! Any Help W/ Part B) Would Be Greatly Appreciated.
 
  • #77
Please look at the links that Astronuc provided. (The second link is the same site I've been linking to.) Both of them will make excellent references for you.

Note that one wavelength = two "loops" (or two anti-nodes). In your problem, you see three loops. If 2 loops equal 1 wavelength, but 3 loops equal 2 m--what must be the wavelength? Set up a ratio and solve for the wavelength.
 

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