Recent content by ttb90

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    How Do You Calculate the Initial Pressure in a Polyprotic Expansion Process?

    Sorry you are right. The question states the term polytropic expansion which would mean adiabatic in this case. I think polytropic is a general case where n=γ is adiabatic , n=1 is isothermal and n=0 is isobaric. When you say P(V/m)=RT for each corner on the graph, do you mean that because they...
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    How Do You Calculate the Initial Pressure in a Polyprotic Expansion Process?

    Polyprotic Expansion HELP! Homework Statement Nitrogen at 100°C and specific volume of 0.1846 m^3/kg undergoes a polyprotic expansion process such that pv^(1.2)=const and the final pressure is 100 kPa. A constant pressure compression is then performed to bring the volume back to 0.1846...
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    Stability of a barge- Fluid Mechanics

    I did all the calculations for it and found that Mc=2385.5699 kg/m. I really appreciate your help! Thank you soo much
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    Stability of a barge- Fluid Mechanics

    Read the question again and found that the question asks for the maximum mass of cargo, so since we found 2 masses that satisfy the G'M condition wouldn't that mean that the heavier mass is the answer to Mc. Thoughts? So Mc=11760 kg/m ?
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    Stability of a barge- Fluid Mechanics

    How do I go about showing that? I tried substituting the values into the previous expressions to see if all the conditions are met but couldn't get much out of it to come to a conclusion.. What shall I do?
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    Stability of a barge- Fluid Mechanics

    I tried solving it again and don't think I succeeded. I have attached a scan of my working out so it's easier to read.. Please tell me what I am doing wrong. I think I've solved this like over 10 times and keep finding different answers each time :(
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    Stability of a barge- Fluid Mechanics

    G'M= 5.33/((9327.19+Mc)/1025) - [(12654.38 + 4Mc)/(9327.19+Mc) - ((9327.19+Mc)/8200)] G'M=0 (12654.38+4Mc)/(9327.19+Mc)-(9327.19+Mc)/(8200)=5466.325/(9327.19+Mc) (12654.38+4Mc -5466.325)/(9327.19+Mc)=(9327.19+Mc)/8200 (7188.055+4Mc)/(9327.19+Mc) = (9327.19+Mc)/8200 (9327.19+Mc)^2=58942051+...
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    Stability of a barge- Fluid Mechanics

    Specifically speaking would you say that my moment equation is correct? I think that's the main part of the working out that has to be right as i use the result obtained in the following sections to calculate G'M=0
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    Stability of a barge- Fluid Mechanics

    Definitions: Mb=mass of ballast M= mass of barge (empty)=6327.19kg 0=ƩMa=-(AG' X (M+Mb)+(AG X M) since we know that AG=2m; 0=ƩMa=-(AG' X (M+Mb)+(2 x M) The negative sign is due to the anticlockwise moment M=mass of barge = 6327.19 kg Mb=mass of ballast = 3000 kg Mc=mass of cargo Distance of C...
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    Stability of a barge- Fluid Mechanics

    So I'm finding this last section really hard to start off. This is what I have done so far: Mb=3000kg M= mass of barge (empty)=6327.19kg g=9.81 Mc= mass of cargo ρ=1025kgm^(-3) I struggled to find the moment equation so i started off by doing the following: 1. New draft for the load barge...
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    Stability of a barge- Fluid Mechanics

    Thanks very much for that. There is now a change of scenario and I attached it as figure 2. Question states that 'If the total ballast acting at point A is now increased to 3000 kg/m, what is the maximum mass of cargo per unit length Mc that could be safely carried at position C with the...
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    Stability of a barge- Fluid Mechanics

    SteamKing: This is following I did to find the new position of B. For the height of the center of buoyancy above the bottom of the hull i did the following. Volume of displaced water= V= 4 x h x 1= 4h The weight of the displaced seawater = (6327.19+Mb)g =ρ x g x4h Therefore h=...
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    Stability of a barge- Fluid Mechanics

    Does that mean that when I do find the draft of the ballasted barge we assume that the new position of B is still halfway of the new draft value? Is this assumption correct?
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    Stability of a barge- Fluid Mechanics

    That's how i did mine as well. Took a while to get the answer. I am stuck with this new buoyancy B though, do we assume it stays at the same point after the MB is added to point A. What exactly changes here?
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    Stability of a barge- Fluid Mechanics

    If you look at the attached diagram it shows the height from point A to the new center of gravity to be h.. That's the value I found in the above calculations which is, h=1.5432m
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