Recent content by joberr

I checked in book and its right thanks so much gabbagabba I've gotten rusty with problem solving

That gives me \omega_{dist}^2 = \frac{3 l_0^2 }{R^4 \csc^2 \alpha} where l_0 = R \omega_0 and \omega_{dist}^2 = \frac{3 g \cos^2 \alpha }{h}

m \cdot csc^2 \alpha \cdot \ddot r = \frac{m l_0^2 }{r^3} - \frac{mg}{tan \alpha} if I make R= R+ \epsilon then approximate \frac{1}{(R + \epsilon)^3} as \frac{1}{R^3} + 3 \frac{\epsilon}{R^4} I get treating R as a constant m \cdot...

r^2 \theta is conserved - constant.

How do I solve for the period of a small disturbance in this circular orbit.

You mean \dot r = 0 , r = R that gives \omega = \sqrt{\frac{g}{r \cdot \tan \alpha}}

you mean -\frac{\ddot r}{\dot \theta^2} = r

That was my impression given he told me to eliminate z in the lagrangian (not euler-lagrange) using the equations he gave. m \cdot csc^2 \alpha \cdot \ddot r = \frac{2 m r \dot \theta^2}{2} - \frac{mg}{tan \alpha} and 0 = \frac{2 m r \dot \theta^2 \dot r}{2} + \frac{m r^2 2 \ddot \theta}{2}

I followed kuruman advice on the constraint to plug into the Lagrangian to eliminate the z variable then I used euler lagrange and then solve for r on both and set that equal.

\frac {\dot \theta^4}{\ddot \theta} = \frac{ \csc ^2 \alpha \ddot{r} + \frac{g}{tan \alpha}}{\dot r} Known latex for a while just don't prefer it to using a pen and pencil This is what I get as a differential equation after gabbagabbaheys correction Dont know how to solve to get omega from it...

http://img41.imageshack.us/img41/2464/prob2u.th.jpg I get this set of coupled differential equations but when I try to solve for them I get \omega * r^2 = 1 and r is a quadratic with respect to time which doesn't make sense

http://img197.imageshack.us/img197/3584/probn.th.jpg What constraint am I missing I can't get full answer I have an unknown constant B

Is that for solving for the period of the circular orbit or a disturbance in while in a circular orbit.

Homework Statement A particle of mass m moves on the inside surface of a smooth cone whose axis is vertical and whose half-angle is alpha . Find the period of small oscillations about a horizontal circular orbit a distance h above the vertex.Homework Equations Not sure. Lagrangian maybe F = ma...

To be part of management of technical company in a technical position like a CTO? Is this possible with just PhD? Is this possible with MBA only ?Do you need a PhD and a MBA? Is it preferable?