Recent content by omertech

Hello, I understood that in low velocities the standrad drag equation: F_d=\frac{ρv^2C_dA}{2} Could linearized to something like: F_d=γv I am looking for the drag coefficient(either γ or Cd) for either a prolate or a tri-axial ellipsoid at low velocities (less than 0.5 m/s) in water. I found...

Yes, so mathemtically speaking, x3 describes the linear combination of x1 and x2. Is there a way to transform it into a form proper for anaylsis? (that is you could get analytical solutions to certain values of x3, its derviatives, integrals etc.)

Yes I see what you meant. I am still curious about the oscillating equations, do you have any idea about that?

Well, as far as I can tell thery are both described mathemtically the same. The equations above could describe oscillations as well as one dimensional waves, and the expression for x3 could describe interference as well as just any other linear combination of oscillations. Regardless of the...

Yes but they are essentially oscillations, this means that they behave as waves (superpose and interfere for example) doesn't it?

Ok, so if we would treat the signals as waves, is it possible to describe the resultant interference with an equation proper for analysis? For example the intereference of the signals: x_1=A_1\cos{(\omega_1t+\theta_1)} x_2=A_2\cos{(\omega_2t+\theta_2)} is...

Hello, I was wondering about the adition of phasors with different amplitude, frequency and phase. Wikipedia supplied the technique of adding phasors with the same frequency but different amplitude and phase (http://en.wikipedia.org/wiki/Phasor#Addition). When it comes to adding phasors...

mfb and nasu thanks a lot of clarifying that

Yes your answer is suitable if the ratio between them is indeed rational. But this is not always the case. If it's not rational than would it be the product of T1 and T2? Or perhaps there is a smaller answer?

Thanks for the answer. As far as I know ω1 and ω2 are the angular frequencies. They are related to the periods T1 and T2 by: T_1=\frac{2\pi}{\omega_1} T_2=\frac{2\pi}{\omega_2} What I am looking for is indeed the repetition period. I know about the common multiple thing, but isn't there any...

I want to have a general solution, so let's assume ω1 and ω1 are known, as well as all of the other quantities. How can you determine the period in such general case?

Hello everyone, I was wondering how could you determine the period of the motion of two or more coupled oscillators. For example, two oscillators have the state variable equations: x_1=A_1\cos{(\omega_1t+\phi_1)}+A_2\cos{(\omega_2t+\phi_2)}...

Hello everyone! Homework Statement Solving a relatively general equation representing a constant combination of 2 trigonometric functions.Homework Equations a\cos{(vx+p)}+b\cos{(ux+q)}=cThe Attempt at a Solution I really don't have any idea for a general solution to this equation.. Best Regards