Recent content by quebecois22

Ahh indeed :(... How should I approach it then?

The function from -∞ to 0 is the opposite of the function from 4 to ∞ so they cancel out. Can I do that?

Homework Statement Using properties of the Fourier transform, calculate the Fourier transform of: sgn(x)*e^(-a*abs(x-2)) Homework Equations FT(f(x))= integral from -∞ to +∞ of f(x)*e^(-iwx) dx The Attempt at a Solution I've realized that with the signum function, the boundaries...

Doesn't the phase shift formula have the initial velocity in it? Since it's zero I don't know how you managed to get 0.0721...

I understand... Thank you very much

Well exactly between both starting positions is +5° right?

And let's assume I'd have to show the maths using all the formulae... would using a phase constant of pi give that answer? Just to make sure I understand phase constants corrrectly...

That they will hit exactly between the two starting positions?

So would a phase consant of pi for one them solve the problem because it was released on the other side? My book says angular frequency IS in rad/s... And pendulums display SHM when theta is small; about 20° or less.

Homework Statement Two masses, m1=750g and m2=500g, act as two pendulums with length L=2.0m. At t=0, they are released without an initial velocity, the former at -10° and the latter at 20°. At what angle will they collide? Homework Equations θ(t)=Acos(wt) sinθ=θ (small angle)...

I think I get it now... but one last thing: wouldn't there only be two solutions? z=-4 and z=4? Because sin is only equal to 0 at 0,π,2π,etc., so the angle will vary between π and 2π. But 0 and 2π are located at the same place on the complex graph. So when the angle is equal to 2π, isn't it...

What I don't get is how can I find the values of theta to make the equations equal to r... what is r?? I've always found solutions using square roots but I don't see how this can be relevant here...

Alright I think I've managed to get to -4=r(cos(5θ)+isin(5θ))... Is that possible? :P Since the question asks for solutions, do I have to find values of r and θ that satisfy this equation? How do I go on from there?

Homework Statement Give under the exponential form all non-zero solutions of (z3) + (4conjugate(z2)) = 0 Homework Equations z=x+iy where i2=-1 zn=rn(cos(nθ)+isin(nθ)) The Attempt at a Solution First i tried expanding by making z=x+iy so x3+3ix2y+4x2-3xy2-8ixy-iy3-4y2=0, but then...

Thank you very much for the answers... it was a question I always wondered because I simply learned how it was perpendicular, without any explanation as to why. So if I understand correctly, it is simply a convention to show the plane in which the object rotates and a way to show if angular...