Recent content by JaredPM

  1. J

    Undergrad Newton Divided Difference Interpolation Polynomial

    f(x)= a(0) + a1(x-x(0)) + a2(x-x(1))(x-x(0)) I am having a hard time understanding the intuition of (x-x(1))(x-x(0)) being multiplied by the coefficient a(2). For example, if I added a(3) to the equation, I would have had to multiply a(3) by (x-x(0))(x-x(1))(x-x(2)). I've researched the Mean...
  2. J

    Engineering Dynamics: Solving Train Decel on Slope

    Well I wanted to prove that the axis didn't need to be rotated. It certainly makes things easier if you do, but I wanted to break everything down into components to get a better understanding of how all of the forces are represented in the problem by using vectors. I want a fool proof way to...
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    Engineering Dynamics: Solving Train Decel on Slope

    ∑F(x)=Fcos(5.7)-F(Resistance)cos(5.7)-F(Normal)cos(84.3)-mg*cos(84.3)=ma ∑F(y)=Fsin(5.7)-F(Resistance)sin(5.7)+F(Normal)sin(84.3)-mg*sin(84.3)=ma I uploaded a free-body diagram.
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    Engineering Dynamics: Solving Train Decel on Slope

    The engine exerts a traction force of F(1/20) of the weight of the train. Not 1120
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    Engineering Dynamics: Solving Train Decel on Slope

    Homework Statement The 160-Mg train travels with a speed of 80 kmlh when it starts to climb the slope. If the engine exerts a traction force F of 1120 of the weight of the train and the rolling resistance F D is equal to 1/500 of the weight of the train, determine the deceleration of the train...
  6. J

    How does a clock signal function

    How does a modern clock signal sychronize a computer command? What does pipeline mean? Lets say that the cpu being considered is an intel product.
  7. J

    What physical experiment would tell you how many electrons an atom has

    How did scientists/chemists experimentally determine how many electrons an atom has? Hydrogen, carbon, oxygen, etc... I'm wandering what physical experiment would tell you how many electrons an atom has?
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    Undergrad What is the Uniqueness Theorem and its Application in Physics?

    Could someone give me an applied math example of the uniqueness theorem in the physical sciences (physics, chemistry, biology)? Because I am not sure of its application. I understand that there is an interval (x,y)~intial conditions.
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    Undergrad Uniqueness Theorem: Qualitative Example of 1st Order Linear DE

    Can someone give me a qualitative example of the uniqueness theorem of a first order linear differential equation? I have read the definition, but I am not 100% positive of what it means in regards to an initial value problem. Im confused about what a unique solution is when/if you change the...
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    Undergrad Why Equate Differential Equations to Zero?

    What is the logic behind equating differential equations to zero? For example the equation y''-5y'+6y=0 Because it can just as easily be written y''-5y'=-6y I am interested in the meaning of why if we sum y''+(-5y')+6y equals zero. What is the relationship of its second derivative, first...
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    Graduate Differential equation selection and linear transformations

    This may be vague, so I apologize. I am interested in applied mathematics, so my question is about the process a scientist or engineer uses to determine what differential equation to use for a non-linear process. I am not familiar enough with describing non-linear processes to be able to...
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    Graduate What Are the Practical Applications of the Fourth Dimension in Analysis?

    How do you calculate an object in 4 dimensions? Like the 4 dimensional cube. I understand that a point is the beginning of a line and a line is the beginning of a plane. From there a plane translates into a 3 dimensional object. A 3 dimensional object translates into a 4 dimensional thing... I...
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    Medical Serotonin, Dopamine, Glutamate, and the others

    I suffer from really bad OCD & Anxiety. I would love nothing more that to be part of the research team. I would love to do all kinds of medical research but I am an engineer, not a biochem/chem/biology major.