Recent content by mathfilip

  1. M

    Calculating Effective Spring Constant for CO Molecule

    I have a question regarding calculationg the effective spring constant, K, for a CO molecule. The actual question regards the relation between the angular frequency for the molecule and the rigidity K. Look at my teachers solution he gives the following formula relating those: K(CO) = m'*w^2...
  2. M

    Why is the approximation of small angles valid for cosine but not for sine?

    Hi! I have a question about approximation of functions with small angles. I was looking through some notes from my teacher and didnt understand why the following approximation is valid. We have a system which is at equlibrium at an angle, say a. Now we wanted to se what happens with the...
  3. M

    Commutation relation of operators

    Im reading in a quantum mechanics book and need help to show the following relationship, (please show all the steps): If A,B,C are operators: [A,BC] = B[A,C] + [A,B]C
  4. M

    Rotating reference system - centrifugal force

    Thanks for answer. I guess I am stupid but hope you still want to answer. I can't really see how you get all the terms. For example this part of the expression I don't understand. \left( \vec{\omega} \times \vec{\omega} + \frac{\partial \vec{\omega}}{\partial t} \right) \times \vec{r} I...
  5. M

    Rotating reference system - centrifugal force

    So I almost got this now. I have tried to derive the expression for the acceleration now, however, there's one term missing for me. I have w x (dr/dt)(rotating frame), all the other terms are OK. I should have a 2 in front of that so there's something missing. So I am guessing this term might...
  6. M

    Rotating reference system - centrifugal force

    Thank you for answering. Well, yeah, I sort of understand it. For the velocity ist like the velocity in the rotating reference frame + the velovity due to rotation. So for instance, if I sit in a merry-go-round, will the partial derivative then be 0? And no I can't really see how we get...
  7. M

    Rotating reference system - centrifugal force

    Hi! Can someone explain this expression for the centrifugal force? F = -mw x w x r, where the underline refers to vectors. (sorry for notation) w is the angular veolcity, m mass, a r is the radial vector. I can't really see where the expression comes from. Can you indentify and...
Back
Top