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  1. EternusVia

    Proving that the Harmonic Series is divergent

    Hello everyone, I too had to solve this problem, and I think I found a nice way to write the solution. I'd like to share it here. We can regroup the harmonic series as follows: \sum_{n=1}^{\infty} \frac{1}{n} =...
  2. EternusVia

    I Interpretation of the Reynolds Transport Theorem?

    Background: I am taking an undergraduate fluid mechanics class. I seem to have a misunderstanding with my interpretation of Reynolds Transport theorem (RTT), which I have written below: $$\frac{DB_{sys}}{Dt} = \frac{\partial}{\partial t}\int_{CV}\rho bd V +\int_{CS}\rho b \vec{V}\cdot...
  3. EternusVia

    How to prove -(-x)=x

    JasonMorand, I think that stupidmath's proof is valid. He proves it essentially the same way you do -- by claiming 0 = 0.
  4. EternusVia

    Binding energy / mass deficit of Earth-moon system?

    I reviewed the definition of binding energy. Effectively, binding energy is the energy you need to put in to separate the objects of the system infinitely and at rest. Sense they have to be at rest, I should have calculated the kinetic energy of the moon and added it to the potential energy...
  5. EternusVia

    Binding energy / mass deficit of Earth-moon system?

    Homework Statement Consider the earth-moon system (whose constituent pats we take to be the earth and the moon separately). a) Compute this system's gravitational potential energy (in joules) and the mass deficit (in kilograms). The radius of the moon's orbit is 384,000 km, and its period is...
  6. EternusVia

    Induction Problem (Polya)

    That worked! I would post the process, but it follows almost immediately from applying the formula for the sum of an arithmetic progression. Thank you
  7. EternusVia

    Induction Problem (Polya)

    Homework Statement Consider the table: 1 = 0 + 1 2 + 3 + 4 = 1 + 8 5 + 6 + 7 + 8 + 9 = 8 + 27 10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64 Guess the general law suggested by these examples, express it in suitable mathematical notation, and prove it. Homework Equations [/B] It's clear that if...
  8. EternusVia

    Programs Intersection of Physics and Applied Math?

    Hello all, I am interested in both physics and applied math. One of my professors is willing to work with me to get into a great applied math school, but I don't want to abandon my passion for physics. Is there work being done at the intersection of applied math and physics? Is it reasonable...
  9. EternusVia

    Solving Simultaneous Inequalities

    Hi Ray, That is a clever idea. I used it to find part of the solution but couldn't get the rest. Not sure what I'm doing wrong. ##3cos(\theta) + 4sin(\theta) = Asin(\theta + \phi)## ##Asin(\theta + \phi) = Asin(\theta)cos(\phi) + Acos(\theta)sin(\phi)## ##Acos(\phi) = 4## and ##Asin(\phi) =...
  10. EternusVia

    Solving Simultaneous Inequalities

    Homework Statement [/B] I am trying to solve the simultaneous inequalities (1) and (2) shown in the following image. The solution is provided, but I'm not sure how they solved for it. [PLAIN]http:// Homework Equations N/A The Attempt at a Solution [/B] I tried to solve this set of...
  11. EternusVia

    What is a free body diagram

    Perfect, thank you!
  12. EternusVia

    What is a free body diagram

    Do people normally draw torque in a free body diagram as a curved arrow?
  13. EternusVia

    What is a free body diagram

    Hello, thank you for your post. Where do moments fit into this? Is a moment the same as a torque? Should they be shown in a free body diagram?
  14. EternusVia

    Linear Algebra, Determine the Volume of the Parallelepiped

    Thank you all for your insightful replies and questions. Am I interpreting this correctly... If I start with a vertex and create three vectors from the given points, no matter which three vectors, I will get the volume of the parallelepiped? Even if the vectors are, say, the diagonals of the...
  15. EternusVia

    Linear Algebra, Determine the Volume of the Parallelepiped

    That's really helpful; thank you. Do you know of a way to label the points in Wolfram?
  16. EternusVia

    Linear Algebra, Determine the Volume of the Parallelepiped

    Homework Statement What is the volume of the parallelepiped with vertices (3, 0, −1), (4, 2, −1), (−1, 1, 0), (3, 1, 5), (0, 3, 0), (4, 3, 5), (−1, 2, 6), and (0, 4, 6)? Homework Equations The volume of a parallelepiped is given by the triple scalar product, (a × b) ⋅ c The Attempt at a...
  17. EternusVia

    Good Laptop for Engineering?

    To be honest I don't have a comprehensive list. I know I'll be using Solidworks, at least. This will be my first year coming up.
  18. EternusVia

    Good Laptop for Engineering?

    Hi all, What laptop would you recommend for a mechanical engineering student? I really like Mac but I hear that engineering software is almost all Windows. Are there any good engineering laptops for around $1,000 that you could recommend?
  19. EternusVia

    Does anyone work in the space industry?

    If anyone here works in the space industry, would you be willing to tell me about the most important credentials and qualities someone needs to work in your field?
  20. EternusVia

    Data Corruption from Sensors with Long Wires

    Ah. Well, I bought two of these sensors. After switching the first one out and trying me second sensor, everything seems to be working fine. False alarm... aside from the fact that one of my sensors is broken!
  21. EternusVia

    Data Corruption from Sensors with Long Wires

    Hi all. I'm having some rudimentary problems with the MAX6675 thermocouple that I mentioned. If you're willing, I'd appreciate input. I posted about the problem in detail here: http://forum.arduino.cc/index.php?topic=334241.0
  22. EternusVia

    Data Corruption from Sensors with Long Wires

    Not going to lie, a lot of the conversation is above my head at this point. I'm hoping that once I start experimenting, I see the logic of the topics you two are discussing. I'm sure I'll be glad for the details once I need them!
  23. EternusVia

    Data Corruption from Sensors with Long Wires

    Thanks for your input! At this point, I plan on using the I2C sensor. My project involves monitoring the temperature of bearings. I plan on boring a hole a few centimeters deep on the bearing into which I'll place the temperature probe of the I2C sensor. Being physically connected to the...
  24. EternusVia

    Get my second bachelor's or go for Phd?

    That's probably true.
  25. EternusVia

    Get my second bachelor's or go for Phd?

    Hi all, I've asked for a lot of academic guidance before, so thanks for all the advice up to this point and going forward. Here's the background: I'll be graduating this coming May with a double major in mathematics and computer science. My true passion tends to lie with engineering and...
  26. EternusVia

    Data Corruption from Sensors with Long Wires

    Thanks for the info. And yes, I have an account on Arduino forums too. The people on Physics forums usually respond very quickly, though, so I decided to post here too :)
  27. EternusVia

    Data Corruption from Sensors with Long Wires

    That's very helpful! So, let me see if I understand. Data is transmitted via... voltage? And the longer the wire we have, the more voltage is dropped due to wire resistance, which is what we call data corruption. Is that correct? You also say to be careful with operating temperatures. The...
  28. EternusVia

    Data Corruption from Sensors with Long Wires

    Hi all, Hopefully this is the right subforum. I have a question related to Arduino sensors. Q:Generally, when do you need to be worried about losing data from having long wires from your sensor to your Arduino board? Details:For example, I've been looking at two sensors. Sensor 1: MLX90614...
  29. EternusVia

    Is computer science worth it?

    What kind of job can you get with electrical engineering? Gee. There's a lot of variety. Number one, you can be an electrical engineer: designing, prototyping, and testing electrical systems and gizmos. Second, many industries and companies will hire engineers - regardless the type of engineer...
  30. EternusVia

    Electrical Engineering Grad. after Physics B.Sc.

    Hi Modus. Did you pay out of pocket for those two years?
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