Recent content by Baartzy89

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    Finding the centroid of a triangle using complex numbers

    Hi all, I'm preparing for a deferred exam this semester after falling ill last year. Just looking over my course notes and have a question. I understand how this works in the big picture scheme. What I don't understand however is how my instructor simplified the original equation. 1. Homework...
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    Acceleration, velocity, displacement & time

    Homework Statement a = 2/(0.1v+1) At t = 0; s = 0, v = 0 1) Derive a relationship between t and v 2) Derive a relationship between displacement (s) and v 3) Draw v vs t for 0s ≤ t ≤ 75s & s vs t for 0s ≤ t ≤ 50s graphs Homework Equations a = dv / dt v = ds / dt The Attempt at...
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    Solving Homogenous ODEs with Variable Coefficients

    I've managed to work out part C, but the first two are still baffling me - mostly how to create a general solution for variable 'a'. Can anyone talk me through how to do it? The only Linear Homogenous equations I remember solving had constant coefficients. Below is my answer for part C...
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    Solving Homogenous ODEs with Variable Coefficients

    If you take the section I originally posted as the intro, and then the questions as follows; A) what is the range of 'a' for which the body moves (i) with oscillations, (ii) without oscillations? B) Find the general solution for any a<4 (Your solution should be a formula depending on the...
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    Solving Homogenous ODEs with Variable Coefficients

    Damn, I just realized half of my original question was missing. Doing this on an iPhone is not easy
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    Solving Homogenous ODEs with Variable Coefficients

    Yes, m is a constant and is the mass of the pendulum which is 1kg. 'a' is the friction coefficient which is >0. So I take it I need to find a general solution for the equation with variable coefficient 'a' prove that this general solution slows to a rest state as t approaches infinity and then...
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    Solving Homogenous ODEs with Variable Coefficients

    Hi all, I'm struggling with this question - I don't really know where to start. So far I have tried putting arbitrary values for 'a' into a quadratic auxiliary equation but using wolfram to calculate the roots gives me complex conjugates that I can't remember a thing about. Question as...
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    Differentiation using chain/product rule

    Hi, Just a question on an example in a maths textbook. See attached image for question below. So, I understand that if you set u=sin(x) and v=e^-cos(x) f'(x)=u'.v + u.v' But I'm stuck looking at e^-cos(x), could it also be classified e^(w)? Also, the second step in differentiating...
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    Work done and total heat transfer for piston-cylinder device

    Hi everybody, this question is on an old exam paper given to us for exam prep purposes. No answers have been supplied however. Am I on the right track? Question: A mass of 0.2kg of saturated refrigerant-134a is contained in a piston-cylinder device at 200kPa. Initially 75% of the mass is in...
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    How can I determine the steam properties in a rigid tank?

    After a bit more research I found a worked example for the equation using 3600, and it was to convert back to kg/hr. Here is what I've got together now, if there are mistakes please point them out: Wturbine = ms*(h2-h1) ms = Wturbine/(h2-h1) If state 1 is superheated steam at 10 MPa, 500 deg...
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    How can I determine the steam properties in a rigid tank?

    Ok, this is the equivalent of another equation that I found: Wturbine= ms(hgf) But I've also found another equation: ms = 3600*P/he, where P is Load in kW, he specific enthalpy of evap. The 3600 comes from adjustment to the units? And he is the same as hgf. For the first equation that you...
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    How can I determine the steam properties in a rigid tank?

    Last question in the paper, stuck on this final section. I haven't been able to find a similar example in the Rankine Cycle section or the mass flow section of the text. Consider a 210 MW steam power plant that operates on a simple ideal rankine cycle. Steam enters the turbine at 10 MPa and...
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    How can I determine the steam properties in a rigid tank?

    Ha, I feel like an idiot now. I was hell bent on multiplying them because I thought the result looked better. Typical case of looking for the answer, then to the map. Now when i look at the big picture it all makes sense. Thanks for your help btw, this forum is incredible...
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    How can I determine the steam properties in a rigid tank?

    Ok, so I am struggling a bit with the dimensional analysis of the question noqw. I have to admit this area is not one of my strong points. So, 0.6m^3 x 0.001190 m^3/kg = 7.14 x 10^-4 m^6/kg or = sqrt(7.14 x 10^-4) m^3/sqrt(kg) Is there a way of cancelling the m^6 or m^3? Obviously...
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    How can I determine the steam properties in a rigid tank?

    Hi everybody, I've got a thermodynamics exam coming in a few weeks. I couldn't sit the exam when I took the subject 12 months ago because of work commitments so I'm sitting a deferred exam this semester. Trouble is I have forgotten most of it, and having difficulty getting help from lecturers...
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