Recent content by josftx

You want to describe for example when a asteroid its falling to the Earth but from the outer space?. In this case, the gravity its not g, like you say, but its function of the distance from the objetc to the center of the earth. F_{gravity}=\dfrac{GM_{1}m_{2}}{(R+y(t))^{2}} with R the radius...

Seeing your ecuation from a different point of view we had \frac{P_{1}}{\rho g} + \frac{v_{1}^{2}}{2g}+z_{1}=\frac{P_{2}}{\rho g}+\frac{v_2^{2}}{2g}+z_{2} The therms like \frac{P}{\rho g} is related with the static pressure and this relationship with the pressure that the fluid exerts on...

Sorry its a negative exponential. i might wrong in the transcription to the forum. but i don't know if the solutions its fine, because in any book or something i find a similar exercise with these domain ]-L/2,L/2[ or with the change of variable.

so the a_{n}=\frac{-1600}{n\pi} and the solution its. u(x,t)=-400+\sum_{n=1}^\infty \frac{-1600}{n\pi} \sin(n\pi \hat{x})e^{n^{2}\pi^{2}ct} + 700 but now i have \hat{x}[\tex] ,,, with \hat{x}=L(x-\frac{1}{2}) and the solution of the problem its u(x,t)=v(\frac{x}{L}+\frac{1}{2})+700 so...

Yes, f(x) means v(x,0). with MSV i find it the general expression for the series. v(\hat{x},t)={\displaystyle \sum_{n=1}^{\infty}a_{n}sin(n\pi x)e^{-n^{2}\pi^{2}ct}} with c=\frac{\alpha}{L^{2}} , but the next step i have doubts. look.. f(x)_{odd}=\begin{cases} -400 & -1<x\leq0\\ 400\,\...

Homework Statement Find the distribution of temperatures in the rod of length L with the follow BC and NC Homework Equations u_{t}=\alpha u_{xx}\,\,\,x\in]\frac{-L}{2},\frac{L}{2} u(\frac{-L}{2},t)=u(\frac{L}{2},t)=700 u(x,0)=300\,\,\,x\in]\frac{-L}{2},\frac{L}{2} The Attempt at...

It's not specified in the problem, only the problem says that the temperature is maintained constant in the face six and this given by $T T(x,y,L)=f(x,y)$ , and my teacher says that i must find that function =S

and how i can derive an expresión for find the function, using some equality? i'm really confused-

Yes, sorry i evaluate z in L in my last step. But i need determinate $A A_{mn}$ in terms of $F F(x,y)$. But i didn't finish the problem because i don't understand the reason of my teacher for that solution. and i don't know how complete the solution with that thougth. can u help me?

Hello i have a problem with a laplace equation in a box, because the problem says that in the six face the tempeture is constant and given by the function f(x,y). and the other faces the temperature its zero. My teacher says that i must express the f(x,y) as a Fourier series, but i can't...

the distance to the center of Earth , from where?

Observations in the systems, and suppositions: V_{ay} > V_{ax} \frac{V_{ay}}{V_{ax}} > 1 arctan(\frac{V_{ay}}{V_{ax}}) > arctan(1) arctan(\frac{V_{ay}}{V_{ax}}) > \frac{\pi}{4} other: 2V_{x} = V_{a}+V_{b} consecuense of conservation of momentum. other: Lcos\theta = V_{a}t where t is...

yes, is a vague problem from a vague professor. but that is irelevant right now :cry:. denverdoc, why you put the Vx like the velocity initial of the asteroid?, because the velocity when the asteroid is broken, is diferent. and with my suppositions y find a expresion for the velocity of...

the "barrer zero", is located 4 hours, before the impact. sorry for the confusion. that i do, its only that i suppose. and i don't know if I'm going in the right way.

D is the distance from the center of the Earth to a distance to the asteroid. right?, but de distante to the barrer zero to the asteroid is dsin(a) , not cos(a). or for the distante d you want mean "L" ?. The horizontal velocity of the asteroid is 10km/s, but when it explodes, part in two...