Recent content by dwdoyle8854

  1. dwdoyle8854

    Classical Dynamics -- Falling chain and energy conservation

    Homework Statement The statement of the question is:A chain of uniform linear mass density ##\rho##, length ##b## and mass ##M## hands as shown in the figure below. At time t=0, the ends A and B are adjacent, but end B is released. Find the tension in the chain at point A after end B has...
  2. dwdoyle8854

    4th Order Runge-Kutta method and over/under estimates

    to be honest, i have no idea what you are hinting at with the whole 4th order polynomial thing. I don't know what that has to do with error, or what precisely you mean by a 4th order polynomial. this is more of a discovery project than a homework. Its graded sure, but its purpose is to explore.
  3. dwdoyle8854

    4th Order Runge-Kutta method and over/under estimates

    okay, so since its a polynomial, is there anything that can be said about whether we expect it to over/under approximate?
  4. dwdoyle8854

    4th Order Runge-Kutta method and over/under estimates

    doesnt it assume that rate of change is constant over an interval of time? that to me says linear. but nonetheless still don't know what to say about the concavity or the reason why I got an underestimation.
  5. dwdoyle8854

    4th Order Runge-Kutta method and over/under estimates

    Homework Statement "Use Excel to approximate dF/dt=-0.1F+70, F(0)=0 to generate approximations for F at t=1,2 and 4 using step size 0.1. Explain whether these approximation are greater than or less than the exact values. Determine whether the shape of the solution curve is increasing...
  6. dwdoyle8854

    Calculate MacLaurin Series for Finding the Sum of a Series | Homework Help

    Homework Statement "Find the sum of the seires: 3 + (9/2!) + 27/3! +81/4!+ ... "Homework Equations e^x = Ʃ n=0 to inf (x^n)/n! The Attempt at a Solution =3(1 +3/2! + 9/3! + 27/4! + ... =3*Ʃ n=0 to inf( (3^n)/(n+1)!) =Ʃ n=0 to inf( (3^(n+1))/(n+1)!) . unsure what to do from here, maybe...
  7. dwdoyle8854

    Why is the girl and the sled accelerating in opposite directions?

    okay, so (sled)--------(girl) (sled)--5.2N--> <--5.2N--(girl) is this a better diagram? So, i guess the little scenario I have in my head isn't what the question proposes. The girl is pulling the thing, but moving toward the sled? She isn't walking along pulling the sled behind...
  8. dwdoyle8854

    Why is the girl and the sled accelerating in opposite directions?

    Homework Statement A 40kg girl and an 8.4 kg sled are on the frictionless ice of afrozen lake, 15m apart but connected by a rope of negligible mass. The girl exerts a horizontal 5.2 N force on the rope. Whatare the aceleration magnitudes of a) the sled and b) the girl? c) How far from the firls...
  9. dwdoyle8854

    Does Object Size Affect Measurement Errors?

    Homework Statement "Which will have a larger absolute measurement error, a larger object or a smaller object?" "Which will have a larger relative measurement error, a larger object or a smaller object?" Homework Equations Relative error: δ(A)/A = δ(B)/B + δ(C)/C The Attempt at a...
  10. dwdoyle8854

    Integration by parts (problem plus question)

    Okay thank you. My problem was not distributing the constant from 2∫Acos(A)dA = Asin(A) - ∫sin(A)dA this should be 2∫Acos(A)dA=2( Asin(A) - ∫sin(A)dA) and in terms of x: =2(√x)(sin(√x) + 2cos(√x ) yes. Thanks bunches :approve:
  11. dwdoyle8854

    Integration by parts (problem plus question)

    Homework Statement I've run into this problem a few times, where I get the right answer, but multiplied by a constant where I would have it divided by the constant or vice versa. "First make a substitution and then use integration by parts to evaluate the integral" ∫cos(√x)dx...
  12. dwdoyle8854

    U-sub integral: Not sure where i went wrong.

    oh christ. I am dumb. Apologies.
  13. dwdoyle8854

    U-sub integral: Not sure where i went wrong.

    Homework Statement Im not sure what i did wrong, every operation i took to evaluate the integral seems valid. I took pictures of the integral evaluated two different ways, producing two different answers. What bugs me is even if i evaluate (as i did) from say 0 to 1 the numbers are...
  14. dwdoyle8854

    Why Does Work Equal Zero in Some Situations?

    if energy lost = energy gained why can't I merely set ΔU = ΔK ?
  15. dwdoyle8854

    Why Does Work Equal Zero in Some Situations?

    Why is the work zero in this application? W = Force * displacement Force is 25, there are non conservative forces working so E is not constant, there is a displacement of 1.5 feet, and all the forces acting are parallel to the arrow. ?
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