Recent content by Blkmage

  1. B

    Directional Derivatives and max rate of change

    So for part (b), we have \text{norm}(\nabla g(x_{Q},y_{Q},z_{Q})) = \nabla g(x_{Q},y_{Q},z_{Q}) \cdot \frac{1}{\sqrt{3}}\left(1,-1,-1\right) This seems so tedious to solve though. It's on a practice exam my teacher gave us and his tests are very reasonable given the time limits, so I'm...
  2. B

    Directional Derivatives and max rate of change

    Homework Statement See attachment. 2. Homework Equations /solution attempt Part (a) Well, the gradient evaluated at (1,2-1) will give the rate of change. If we want the maximum rate of change then we need the directional direction such that the unit vector \mathbf{u} is in the same...
  3. B

    Acceleration of a sliding mass with a sliding mass on top of it?

    Say we have a rectangular object A accelerating with some acceleration a across a rough horizontal surface. Object B starts with velocity v on the top left corner and slides across the top of A subject to a friction force. Now if we consider object A by itself, it is subject to a friction...
  4. B

    Need a lot of help with vector fields/vector operators

    OH. I completely forgot my rules. The curl of a gradient is a the zero vector and the divergence of the curl is the scalar 0. Thanks. Also, for the very last integral, does that not not exist because d\bold{s} denotes a line integral, but since there are two integral symbols, it doesn't mean...
  5. B

    Need a lot of help with vector fields/vector operators

    Homework Statement http://img818.imageshack.us/f/screenshot20110423at733.png/ http://img856.imageshack.us/f/screenshot20110423at733.png/ If it'll help you guys help me understand this, here are the solutions: http://img828.imageshack.us/f/screenshot20110423at752.png/ Homework Equations...
  6. B

    Good textbooks for fluid mechanics and thermodynamics for MechE major?

    It's just called "Fluid Mechanics." https://www.amazon.com/dp/0073309206/?tag=pfamazon01-20
  7. B

    Good textbooks for fluid mechanics and thermodynamics for MechE major?

    I'm a mechanical engineering major and the course is really an intro to fluid mechanics, but it's designed for mechanic engineers and I've heard it's pretty math intensive. The short description is: "Fundamental concepts; hydrostatics; integral and differential equations of fluid flows...
  8. B

    Good textbooks for fluid mechanics and thermodynamics for MechE major?

    So I'm most likely studying abroad next semester and taking a Fluid Mechanics course. At my home university, the pre-reqs are multivariable calc, diff eq, statics and dynamics, and classical thermodynamics. Abroad, all I need are multivariable and diff eq. But I'm worried that I might be at a...
  9. B

    Urgent help on a simple instantaneous power problem

    Homework Statement The position of a particle on the x-axis is given by x = 2t^2, due to an applied force of F = e^(2t) parallel to the x axis. a. Write an expression for the power supplied by this force as a function of time. b. Compute the instantaneous power when the particle is at x =...
  10. B

    Urgent help on Friction/Forces problem due tomorrow

    Please, I've got a recitation in front of the class tomorrow on this problem. Any help would be greatly appreciated
  11. B

    Urgent help on Friction/Forces problem due tomorrow

    Urgent help on static force at the top of an incline DUE TOMORROW Homework Statement A 5.0 kg block on an inclined plane (angle 37 degrees) is acted on by a horizontal force F with magnitude 50 N. The coefficient of kinetic friction between block and plane is 0.30. The coefficient of static...
Back
Top