Pulse pass medium 1 to medium 2 Problem

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Homework Help Overview

The discussion revolves around the transmission of a pulse from a thin rope to a thicker rope, focusing on the properties of wave behavior in different media, specifically linear densities and tension. The original poster presents a problem involving the calculation of pulse length in the thicker rope given specific linear densities.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between tension in the two ropes and its effect on pulse transmission. Questions arise regarding whether tension remains constant across different media and how this impacts wave properties. There is also inquiry into the calculation of wavelength and the effect of medium density on frequency.

Discussion Status

The discussion is active with participants questioning assumptions about tension and its constancy in different rope thicknesses. Some guidance has been provided regarding mechanical equilibrium and its implications for tension, but no consensus has been reached on all aspects of the problem.

Contextual Notes

Participants note potential constraints related to the assumptions of tension uniformity and the implications of different linear densities on wave behavior. There is also mention of the original poster's uncertainty regarding the calculation of wavelength.

MMONISM
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Homework Statement


A pulse of length 28.7 cm is transmitted from a thin rope to a thicker rope. If the thin rope has a linear density μ1 = 0.316 g/m and the thick rope has a linear density μ2 = 1.85 g/m what is the length of the pulse in the thicker rope?
Thin_rope_thick_rope-1.jpg

Homework Equations


##v=\sqrt{\frac{T}{μ}}##
##v =λf##

The Attempt at a Solution


λ1 = 57.4 cm
##λ1*f=\sqrt{\frac{T}{μ1}}##
but i am not sure if the tension at thin rope same with the tension at thicker rope? could someone give me some ideals please? Thanks in advance.
 
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Suppose that the tension in the thin rope is higher than the tension in the thick rope. What will happen to the ropes?
 
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DEvens said:
Suppose that the tension in the thin rope is higher than the tension in the thick rope. What will happen to the ropes?
I think if the tension in the thin rope is higher than the tension in the thick rope during the passing process, then the rope will accelerate? but in fact it doesn't? therefore tension in these two mediums is constant? is this correct?
 
If you pull on one end of a rope, what will the tension be in the middle of the rope compared to the tension near the end you are pulling on?

Will it make any difference if the rope has different thicknesses?
 
DEvens said:
If you pull on one end of a rope, what will the tension be in the middle of the rope compared to the tension near the end you are pulling on?

Will it make any difference if the rope has different thicknesses?
Yes, I understand now, which means in any situation, if the ropes is at mechanical equilibrium, the tension in the rope is consistent no matter the properties of the rope. Thank you very much.
 
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Could I ask how to calculate λ1 = 57.4cm?
 
Joy Wong said:
Could I ask how to calculate λ1 = 57.4cm?
pulse length = 28.7 cm = 1/2 wave length
 
Does the frequency change when the pulse passes to the denser medium? Why or why not, i don't really understand.
 

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