Recent content by Clarky48

Awesome. Thanks for all the help :smile:

Sorry, my mistake. ##\omega^2=k/m## does stand for all cases of SHM. For the spring, it's derived from the vector equation I gave which comes from Newton's laws and Hooke's law. So it stands for all cases where oscillations can be modeled as if a particle was moving in 1D solely under the...

Ah right, I think I get you. So, to check I understand it - if the limits of integration were reversed ##\int^{-\infty}_{\infty}## (so you're integrating across the graph in the negative x direction), would the integral be negative?

The equation for S.H.M. ##\text{d}^2x/\text{d}t^2 + \omega^2 x =0## (where ##\omega^2=k/m##) does apply for a spring, as long as it doesn't experience damping or forcing. The difference is deriving the equation of motion. We use the fact that the resultant force on a body is the sum of all...

I'm not sure what you mean - I'd presume ##\text{d}x## is always positive, as it's effectively a small interval ##\delta x## centered on ##x##. So are you saying if I take the integral to be the infinite sum of small sections ##| \partial \Psi / \partial x|^2 ~ \delta x##, then each section...

It's my first post so big thanks in advance :) 1. Homework Statement So the question states "By interpreting <pxΨ|pxΨ> in terms of an integral over x, express <Ekin> in terms of an integral involving |∂Ψ/∂x|. Confirm explicitly that your answer cannot be negative in value." ##The 'px's should...