Recent content by e_mts

Thank you both @Master1022 and @vela for the patience and help, I'm feeling confident about this one: $$R\{Q(t)\}=QCos(\omega t+\phi)$$ $$QCos(\omega t+\phi)=QCos(\phi)Cos(\omega t)-QSin(\phi)Sin(\omega t)$$ And as @Master1022 mentioned, we need to compare this to: $$x(t)=\alpha Cos(\omega t) -...

No, I'm sorry I haven't studied complex exponentials admittedly and am not too familiar with wave equations (which is why I'm studying this). Which math topic should I start studying in order to understand this?

Here's what I got for (d), using ##Q(t)=Qe^{-i(\omega t+\phi)}=QCos(\omega t+\phi)-iQSin(\omega t+\phi)##, taking the real part ##QCos(\omega t+\phi)## and working with that: $$QCos(\omega t+\phi)=Q[Cos(\omega t)Cos(\phi)-Sin(\omega t)Sin(\phi)]$$ Considering that ##\alpha \neq \beta## (I think...

Admittedly, I seem to be missing a math tool needed to understand that then. I haven't taken the complex variable functions class at school but I'm willing to learn what I have to to be able to finish this problem. Would you be able to point me to the right direction for what I need to study, I...

Thank you, I will try this as soon as I can. I was too focused on the euler form to think about that.

This is from Course 8.03 Physics III: Vibrations and Waves, the problem is from https://ocw.mit.edu/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2016/part-i-mechanical-vibrations-and-waves/lecture-1/MIT8_03SCF16_ProblemSet1.pdf.

Hello! I recently made an account on the forums in case any questions come up while trying to study. Due to the quarantine, I can't really make college work rn so I'm in hiatus but that's no reason to stop studying. I'm trying out the MIT courses (along with some programming stuff) and hope...

I've been trying to continue my education by self-teaching during quarantine (since I can't really go to college right now) with the MIT Opencourseware courses. I landed on one section that's got me stuck for a while which is the second part of this problem (I managed to finish the first part...