Homework Statement
Two glass bulbs of equal volume are connected by a narrow tube and are filled with a gas at ##0^{\circ}C## and a pressure of ##76\text{ cm}## of mercury. One of the bulbs is then placed in melting ice and the other is placed in water at ##62^{\circ}C##. What is the new value...
@TomHart @haruspex I am sorry for the late reply but my net was down for sometime, to be precise since my last visit(it came on and off all the time). I thank you for all the effort that you put into solving my doubt. I also had somehow figured out that what I was doing was reducing the total...
Actually I am a high school student and the book from which I am reading is the book that is followed mainly in all of India it is printed by one of the govt. organisations NCERT. In the text there always creeps up a error or two here or there in the book but it sure does develop your intuition...
That seems to be the case as the book has adopted that pathway to arrive at the solution but it doesn't appear to be the right method to me at the moment. Perhaps you can reason with me as to why is the book's assumption correct.
Homework Statement
My problem includes answers from previous problems that are to be used as data in this problem so I will state the previous problems and the answers but not their solutions because I have solved them and they are pretty clear to me. So, I will be only posting the solution to...
Okay let's consider that the cylinder is thin walled and has a thickness ##\Delta R## and its Young's Modulus is ##Y##, what else would we be needing to make this question salvageable. I am still persistent to solve it(or a rather modified version of it), because I think I have got the...
So there will also be shear stress acting on the differential layer due to the layers above pulling it towards the axis of the cylinder and those below are pulling it away from the axis of the cylinder.
Vertical interaction?!? As in there would be a tension acting horizontally too? I don't understand what you imply when you say "the tension at height h+dh will aid the band below it at height h"
Let them come and object...I will learn more XDXD.
If we go with that definition then we have,
$$2T\;\sin\left(\dfrac{d\theta}{2}\right)\;dh=P\;dh\;R\;d\theta=\rho\;ghRd\theta\;dh$$
The above equation results due to the equilibrium that is attained when the element has expanded the maximum amount it can. Hence, we get...
But the book's final answer is a force per unit length. After being confused about what the book wants to say I searched the web and found this http://www.sciencedirect.com/science/article/pii/0026286274900338. In that abstract it defines the circumferential tension as " the circumferential...
I drew a diagram which I think accurately tells the dimensions that you stated do tell if its correct or not.
For reference let's label it Fig.1
Also, I don't get how the tension is like a negative pressure is it due to the fact that the each layer along the thickness applies force on the...
So that I am not confused can you tell me what is ##dh## and ##\Delta R##. And is there anyway I can change the title it was meant to be "Circumferential Tension(not tangent) in the cylinder."
I do know that the problem statement is quite atrocious but the thought and time that I had devoted to solve it has made me think that there does exist a nice relation between the tension and height if we assume that it tries to address the open ended cylinder problem. And also I think the...