Ah, sorry. By ma^2, I meant that force = m*d^2W/dx^2. By a I just mean the second derivative of W with respect to x.
As for the spring...I suppose then that F = m*d^2W/dx^2 - Ksp*W where I write W at L? When I had it all written down, I had simplified it down to
T*k*cos(kL) = (mw^2 -...
Right. Fy = T*dW/dx, which would be force along the y-axis and force = ma^2. The mass can't move horizontally, so would KspW = 0, thus not playing a factor? Since it is a standing wave, the waves aren't moving left or right, only "up or down," if that makes sense. Sorry, sometimes I am not very...
It's a second differential. I had noted that before, and I know that, in springs, F = ma + bv + kx. Here, it's just ma + kx. I also know that Fy in waves = dW/dx, which is the first differential. I could setup an equation that puts them all on the same side. Am I on the right track?
Hi all. I've worked more on this and have managed to get part a, I think.
Part b I am still stuck.
I've narrowed it down to T * w * sqrt(u/T) * cos(kL) = mw^2 * sin(kL) - Ksp * sin(kL). But I'm not sure how to go forward from here. Can anyone help?
Hi all. Multiple part problem that I'm really stuck on. I'll attach a file.
At first I had attempted the whole problem with the idea that fixed wall was a fixed point, and that the mass on a spring was a "free" point. But I learned later that the mass can't be treated like a "free" point since...