Pulse pass medium 1 to medium 2 Problem

[MMONISM]

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?

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.

 

[DEvens]

Suppose that the tension in the thin rope is higher than the tension in the thick rope. What will happen to the ropes?

 

[MMONISM]

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?

 

[DEvens]

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?

 

[MMONISM]

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.

 

[Joy Wong]

Could I ask how to calculate λ1 = 57.4cm?

 

[MMONISM]

Could I ask how to calculate λ1 = 57.4cm?

pulse length = 28.7 cm = 1/2 wave length

 

[yoloswag69]

Does the frequency change when the pulse passes to the denser medium? Why or why not, i don't really understand.