Recent content by AJKing

  1. AJKing

    How do you safely discharge a capacitor?

    I hear of people discharging them with screwdrivers, but is that the best call for 10000+μF capacitors?
  2. AJKing

    Can step functions have inverse relationships?

    Hmm, what about a solution involving step functions? x = u0 y1/2-(1-u0)y1/2 Wolfram visual.
  3. AJKing

    Can step functions have inverse relationships?

    If a function s(t) exists, does a function t(s) always exist? Are there functions with no inverse relationships? Suppose s = \int^t_a e^{u^2} du Can there be a t(s)?
  4. AJKing

    What is the potential and kinetic energy of a falling object?

    How far has the book traveled? And what are the equations that tell you velocity under constant acceleration after a certain distance?
  5. AJKing

    Would like some advice on class schedule next semester (Chem vs CS)

    I wouldn't worry too much about C++. Take chem. C++ is not a standard language in the physics community. In fact, the standard language completely changes based on your research interests. In undergrad you should only expect a primer in coding that prepares you to learn a new language as...
  6. AJKing

    What are the best books for re-learning math?

    Hey! I passed high school math with a low C. Years later, under new motivation, I relearned my math at Khan Academy. The mixture of watching succinct lectures and answering hundreds of questions for 2 weeks straight helped me achieve 98% when retaking Math 11 and Math 12. I now study...
  7. AJKing

    Force to lift a chain: Conservative or not?

    Yes, it's on the ground. Right, the work done on the object should be zero about a closed path. Regardless of the fact that my work is not zero. The work done on this chain will certainly be zero about any closed path. The change in mass does not matter. Then I suppose my force is...
  8. AJKing

    Force to lift a chain: Conservative or not?

    Homework Statement You are lifting a chain straight up at a constant velocity v_0. The chain has a linear mass density λ. What is the force required to lift the chain as a function of height? The Attempt at a Solution U = mgh = λygh The height in the potential energy is the same as...
  9. AJKing

    Building a Quantum Levitation device

    And, if you're quick, you can also roll under a moving train between its wheels. Leidenfrost will save you when you spill a bit on your hands. Doing anything else is not safe.
  10. AJKing

    Building a Quantum Levitation device

    Liquid nitrogen safety sprint: don't put your hands in it. Not even for a second. Point it away from you when you turn it on. Sometimes gloves are more dangerous than bare hands! Just be wise. Nitrogen, in large quantities, can displace the oxygen that you like using to live. Prop a window...
  11. AJKing

    What is different about you in one place than you from another place?

    Space is that which separates particles. Time is that which allows particles to relocate in space. I hear you describing discrete time or discrete space. As if they were pixels, refreshing on a computer screen. In those cases your question asks what happens when you 'beam' from one location to...
  12. AJKing

    Lagrangian and its derivatives

    Question 2 Answer Below When solving a double pendulum problem I built a Lagrangian of the form: L(\theta_1, \theta_2, \dot{\theta_1}, \dot{\theta_2}) And found that my Euler Lagrangian equations for each coordinate where coupled to each other, as expected. But I was a little confused about...
  13. AJKing

    Lagrangian and its derivatives

    Question 1 When I take the derivatives of the Lagrangian, specifically of the form: \frac{\partial L}{ \partial q} I often find myself saying this: \frac{\partial \dot{q}}{ \partial q}=0 But why is it true? And is it always true?
  14. AJKing

    Amplitude of a Damped, Driven Pendulum

    It would seem obvious how to proceed - solve for ω - but it is difficult to do directly. Here's Wolfram Alpha's attempt at solving this: A(ω) = \frac{F/m}{((ω_0^2 - ω^2)^2 + (γω)^2)^{0.5}} Where ω0 = g0.5 We must keep out eyes for clever approximations.
  15. AJKing

    Amplitude of a Damped, Driven Pendulum

    Homework Statement A simple pendulum has a length of 1m. In free vibration the amplitude of its swings falls off by a factor of e in 50 swings. The pendulum is set into forced vibration by moving its point of suspension horizontally in SHM with an amplitude of 1 mm. a) [... Built Differential...
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