Recent content by tia89

My guess is that they ask to express all those quantities as functions of the others... which you can easily do using the definition. Notice also that after computing all of them you can use Euler Equation to check the result. Other than this, I really don't see what else you could find with...

You didn't give any detail about what you did... haw are we supposed to know where and why and what you did wrong?

It's the standard derivation of a function... hint: think how you can express roots as powers and think what the derivative of a power is... Good work

You are right and you are wrong... the work is indeed zero, but actually not only on a full rounf, every time... indeed the work is the scalar product of the force times the displacement vector... and in an uniform circular motion the acceleration (and hence the force) is the centripetal one...

I am notaware of any book doing so, I'm sorry... anyway I think the answer should go through th Lagrange equations... I mean the Newton equations are given by the Lagrange equations (not sure in general of the opposite though) and Lagrange equations are derived from least action... therefore for...

http://en.wikipedia.org/wiki/Coefficient_of_restitution As far as I understand, you want to have a number between 0 and 1 (0 being the case in which one object stops, 1 being elastic collision)... then you have to do the ratio of the final relative velocities and initial relative...

Depends much on how you decide to orient the reference system... anyway pay attention that initial velocities and final velocities are not necessarily equal, therefore you have better using different notations (like Va and Vb for initial velocities of the two objects and Ua and Ub for final...

Well, I didn't know about this possibility... the only way I see is that you read well the website you posted (with all links to other pages, at least the ones which are not broken) and see what they offer. Anyway, as I advised you before, ASK around, don't be scared to contact professors you...

Well, for the connection between least action principle and Lagrangian mechanics it is easy, you don't even need a book... just do the math (it is variation calculus though) and from least principle you recover Lagrange equations... and you are done. As well as for the connection between...

Well I am not aware of books treating mechanics as you want... they either are books on Newtonian mechanics (usual way) or on Lagrangian and Hamiltonian mechanics... I don't think anyone does both on the same book. And I don't understand why you want such thing, for Newtonian mechanics there are...

What you mean with structured PhD?? And perhaps it is better that you understand what you want to do something more in particular... as for what you said, more or less ALL universities everywhere offer something... in this case, start pointing universities in Germany, look at the websites of the...

I completely agree... use to stay on campus at least during the day... at beginning it can be strange, but then it becomes normal, you have libraries with the material you need and you have exchange with other students: this is the most important thing of the University, even more in my opinion...

Very good for the letters... I think in this way it will do... also because in Germany they take who they believe will work well and hard, without too much fuss about admittance selections and so on... they will probably interwove you in some way (like skype) and then if they are satisfied they...

First of all, don't use all the same letter, otherwise you will be confused about who is who in like a second... this is always good rule in math... Now assuming b=a/2, you have cos(2b)=cos^2(b)-sin^2(b) indeed... now you can use the fundamental formula cos^2(b)+sin^2(b)=1 and express cos(2b)...

Well, don't know what he is doing now, but a good part of the mathematical structure of strings is due to him I think... he is also one of the prometers of the Holographic Principle together with Leonard Susskind... anyway the only way I think is to ask someone working in the filed... I am...