String hanging from the ceiling

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In summary, the conversation discusses the time interval for a reflected transverse pulse to return to the top of a string of length L and mass m, while an object of mass M hangs from the ceiling. The equation used to calculate this time interval is Δt=2√(L/mg)(√(M+m)-√M), which takes into account the different wave speeds at different points on the string. It is suggested that the waiting time is twice of Δt.
  • #1
rbwang1225
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Homework Statement


A string of length L and mass m, hanging an object of mass M from the ceiling. After sending a transverse pulse from the top of the string , how much time we have to wait until the reflected pulse returned to the top?


Homework Equations


The time interval for a transverse pulse to travel the legth of the rope is ##Δt=2\sqrt{\frac{L}{mg}}(\sqrt{M+m}-\sqrt M)##.


The Attempt at a Solution


I think the time for waiting is just twice of Δt, but I still concern that maybe I miss something.

Sincerely.
 
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  • #2
Where does that equation come from?
 
  • #3
It is from that different points on the string have posses different wave speeds.
 

1. What is the purpose of a string hanging from the ceiling?

The purpose of a string hanging from the ceiling can vary, but it is often used for decorative purposes or to hang objects such as plants, lights, or artwork.

2. How is a string hanging from the ceiling installed?

The installation process for a string hanging from the ceiling depends on the specific type of string and ceiling material. In general, a hook or anchor is typically attached to the ceiling and the string is then tied or hung from it.

3. What materials are commonly used for a string hanging from the ceiling?

Common materials for a string hanging from the ceiling include rope, twine, wire, and fishing line. The material used will depend on the weight of the object being hung and the desired aesthetic.

4. How much weight can a string hanging from the ceiling support?

The weight capacity of a string hanging from the ceiling will depend on the material and thickness of the string, as well as the strength of the ceiling and installation method. It is important to always check weight limits and properly secure the string to avoid accidents.

5. How can I prevent a string hanging from the ceiling from getting tangled?

To prevent a string hanging from the ceiling from getting tangled, make sure to use a strong and durable string that won't easily knot or fray. Additionally, try to keep the string as straight and taut as possible to avoid any twists or knots forming.

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