Recent content by NJJ289

  1. N

    Laplace transform with Convolution

    Thanks Vela, that's exactly it
  2. N

    Laplace transform with Convolution

    Homework Statement Use convolution theorem to solve: \mathfrak{L} \left \{t\int_{0}^{t} \sin \tau d\tau \right \} Do not solve the integral. Homework Equations "Convolution Theorem" in textbook is stated as: \mathfrak{L}\left \{ f*g \right \}=F(s)G(s)f*g=\int_{0}^{t} \ f(\tau )g(t-\tau...
  3. N

    Conceptual definitions of vector topics

    (Is this thread in the right place?) A few questions on vectors: 1. I was wondering if anyone could explain in conceptual terms what the dot product and cross products represent. (I understand how these are calculated, but why are they important?) 2. Also, would it be accurate to describe a...
  4. N

    Determining Linearity in First-Order Differential Equations

    So I just started taking an intro diff eq course and here's one of my homework problems: "Determine whether the given first-order diff eq is linear in the indicated dependent variable." (y2-1)dx + xdy=0; in y; in x I got the whole bit about the general form for linearity but I was...
  5. N

    How Does the Angle θ Relate to Φ in Static Equilibrium of a Tilted Rod?

    Yeash! got it... made a small mistake with the angles. it's cos(90-phi)sin(90+theta)=sin(180-phi+theta) in case anyone was wondering
  6. N

    How Does the Angle θ Relate to Φ in Static Equilibrium of a Tilted Rod?

    Homework Statement The uniform rod in the figure is supported by two strings. The string attached to the wall is horizontal, and the string attached to the ceiling makes an angle of ϕ with respect to the vertical. The rod itself is tilted from the vertical by an angle θ. If ϕ = 29.9°...
  7. N

    Gravity assist mimicking elastic collision

    Ahhh... that makes sense! I've redone the problem without the assumption that the planet's final velocity is the same and here's what I got (after a good deal of algebra): conservation of energy: Mp(63.848-Vp2)=126V2-19062.5 and for conservation of momentum...
  8. N

    How Does Newton's Third Law Apply When One Block Pushes Another?

    Because the problem is only asking you the acceleration of the system, you can safely consider m1 and m2 the "same" block. Remember, don't confuse yourself with free-body-diagrams. Usually only consider a force for calculation if it results in acceleration. In this case, the only force causing...
  9. N

    Gravity assist mimicking elastic collision

    Homework Statement A satellite with a mass of 252 kg approaches a large planet at a speed vi,1 = 12.3 km/s. The planet is moving at a speed vi,2 = 11.3 km/s in the opposite direction. The satellite partially orbits the planet and then moves away from the planet in a direction opposite to its...
  10. N

    Is This a Differential Equations Problem?

    Given the acceleration of a particle as a function of its position (x) along a straight line, how can one create a function to represent its acceleration as a function of time (t)? I haven't covered differential equations yet and was wondering if this is an example of a kind of problem that...
  11. N

    Becoming a High School Teacher: Requirements & Where to Apply

    I'm in my first year at junior college now, planning on transferring elsewhere. I'm pretty sure that I'd like to teach high school (either physics or math). My motivation for this is that good teachers are rare, good physics/math teachers are even rarer (and therefore more valuable?). I'm an...
  12. N

    Modeling acceleration due to gravity for large bodies as a function of time

    Given two bodies where GM/x^2=A and Gm/x^2=a, how might one model the acceleration of either bodies as a function of time? A simpler version of the problem involves one of the masses being stationary (just for the sake of simplicity), so that GM/x^2=A and Gm/x^2=0. A more complicated...
  13. N

    Finding a point of tangency on a curve

    wait so if it's tangent it WILL touch a point on the graph? Yikes! that helps a lot... I was having a lot of trouble because I thought tangent lines get really, really close but don't actually touch the curve.
  14. N

    Finding a point of tangency on a curve

    So something like this?: 0=2x^2-8, 8/2=x^2, 4=x^2, x= +2 or -2 y=x^2, x= rad(y): -2 =rad(y) is nonreal, so 2= rad(y), y=4 x=2, y=4. Problem is: equating the tangent line (y) with the parabola (Y) is impossible... y never actually touches Y. They should share no points.
  15. N

    Finding a point of tangency on a curve

    b=-4X=-4rad(Y)?... What am I supposed to substitute for X? I don't think X=x so it wouldn't be valid to say b=-8 would it?
Back
Top