Recent content by firemarsh

\theta(t) would be \omegat You are right, the theta equation is wrong, For theta, mgr\dot{\theta}cos\theta-2mr^2\ddot{\theta}+2mr\dot{r}\dot{\theta}=0, which can be simplified to gr\omega cos(\omega t)+2r\dot{r}\alpha=0 For r, r\omega^2+gsin(\omega t)=0 Is it possible to further simplify...

But I am still not sure if I really need 2 degrees of freedom in this system

Ok, using r and \theta as the coordinates, I get x=-rcos \theta , y=-rsin \theta, and T=m(\dot{r}2+r2\dot{\theta}2)/2 V=-mgrsin\theta L=m(\dot{r}2+r2\dot{\theta}2)/2+mgrsin\theta and \frac{\partial L}{\partial r}-\frac{d}{dt} \frac{\partial...

Does that matter? I thought the useful information here is that augular velocity is constant?:confused::confused:

Homework Statement A ball is sitting on a frictionless seesaw with no inclination at the beginning, and a constant angular velocity \phi. Find the position of the ball as a function of timeHomework Equations L=T-V, T=(m\dot{}x2+m\dot{}y2)/2, V=mgyThe Attempt at a Solution The first problem I...

Yes I think what I want to ask is ferromagnetic interaction between the metal atoms. The only thing I have is the bond angles and lengths, and the alignment of d orbitals of the metal centers (i.e. staggered/eclipse), is it possible to tell the ferromagnetic/antiferromagnetic interaction form...

Say I have a molecule with two metal centers and some bridging ligands binding the two metal centers, how do I know whether the molecule is ferromagnetic or antiferromagnetic (or neither)? What exactly dictate whether this molecule would be ferromagnetic or antiferromagnetic?