# Recent content by Shaybay92

1. ### Is impulse an approximation?

Are you saying that practically speaking we can't know F(t) or T(t)? Can you elaborate on the relativistic implications? I am very determined to fully understand this concept. Thank you kindly.
2. ### Is impulse an approximation?

Hi all, I am reading a book on spacecraft engineering in the section about trajectory dynamics. They define linear and angular momentum as: ##I = \int_{0}^{\tau}{F}dt## (Linear Momentum) ##L = \int_{0}^{\tau}{T}dt## (Angular Momentum) But they (and so many other sources) always mention the...
3. ### Derivative of a Convolution

Oh I see what you mean. Thanks for the clarification. I'm just not use to this notation :)
4. ### Derivative of a Convolution

Sorry I'm not familiar with your method. I don't understand why you substitute "t+δt" for t. What approach are you using here? Could you elaborate or direct me to some further reading? Cheers :)
5. ### Root Locus Asymptotes

When sketching a root locus of a simple closed loop negative feedback system (with positive gain K).... if you have more poles than zeros, we know that they will tend towards infinity along some asymptotes. How do you know which pole will travel along which asymptote? For example in the...
6. ### Derivative of a Convolution

Hi, I want to verify that the form of a particular solution satisfies the following ODE: v' + (b/m)v = u/m with vpart= ∫e-(b/m)(t-r) (u(r)/m) dr where the limits are from 0 to t So I tried to differentiate v with respect to t, in order to substitute it back into the equation. But, how do...
7. ### Taking moments about a point

Conceptually, what does it actually mean to take the 'moments about a point' on a body, even if that point is not the center of rotation of the body (center of mass say). For example, we could take the moments about a point not even 'in' the body, so what does this value represent? I am...
8. ### Quick spherical coordinate question

Thanks so much! I just wasn't visualizing it properly, and I used those values and it seems to be working :D
9. ### Quick spherical coordinate question

So I have the following shape for which I want to calculate the inertia matrix. Basically I just want to know what limits of integration I should use if I am using spherical coordinates. Assume the convention that phi is the angle from x to y in the xy plane and theta is from z to the xy plane...
10. ### Systems of ODE: Converting complex solution to real

I dont think so, because it has to still span the solution space, and merely dropping the imaginary parts will not ensure this.
11. ### Systems of ODE: Converting complex solution to real

Homework Statement So, I have found a general solution to a system of linear first order ODE's and this is what I got: X = c1v1e^(-1+2i)t + c2v2e^(-1-2i)t where v1 = [-1+2i, 5], v2=[-1-2i,5]. The question is, how do I now change this solution into its real equivalent? i.e. I dont want any...
12. ### Entropy of an ideal gas

Homework Statement A liter of air, initially at room temperature and atmospheric pressure, is heated at constant pressure until it doubles in volume. Calculate the increase in its entropy during this process. Is there a way to calculate this using the thermodynamic identity (ie. without the...
13. ### Representing a wavefunction using bases

Thanks for the help guys :)
14. ### Representing a wavefunction using bases

Could someone please elaborate on this and show exactly how we come up with the coefficients being the relative probabilities..? Just keep it 1dimensional.Thank you!
15. ### Scattering by a potential

Ok, but how physically does this make sense? How does the fact it goes past a potential change its path? I suppose I still don't fully understand what potential wells represent physically.