TBR periodic motion discrete 2

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Hemorrage

Ambrose
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Can someone explain to me why question 11 on page243 of physics 1 is both tension and density? I thought that v is dependent on T and mass per unit length? How does density come into play here?
 
Can someone explain to me why question 11 on page243 of physics 1 is both tension and density? I thought that v is dependent on T and mass per unit length? How does density come into play here?

Density = mass per unit length

(well Linear Density = mass per unit length, to be completely accurate)
 
Can someone explain to me why question 11 on page243 of physics 1 is both tension and density? I thought that v is dependent on T and mass per unit length? How does density come into play here?

because if you change the property of the string, you can change the velocity.
 
It is hard to take a stab at it without the question, but I will try because i was trained under extraordinary conditions 🙄

I am going to assume that we talking about velocity in a string
we have to consider two factors: (1) the pressure and (2) the density of the medium through which the wave travels. a good example is water , due to its density it slow the wave velocity but because it has a much higher pressure the velocity increases in comparing to air.

For the Spring (tension is like pressure in water) if the tension is higher then density of the spring then velocity is higher.
 
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