##\omega=2\pi f## and ##v=f\lambda##, so ##v_1=\frac{\omega_1\lambda_1}{2\pi}## and ##v_2=\frac{\omega_2\lambda_2}{2\pi}##.
$$y_1(x,t)+y_2(x,t)=A(\cos(\frac{2\pi x}{\lambda_1}-\omega_1t)+\cos(\frac{2\pi x}{\lambda_2}-\omega_2t))$$
$$=A\cos(\frac{1}{2}(\frac{2\pi...
How does an angular frequency have a wavelength? (As opposed to linear frequencies where wavelength is the distance between two crests)
Like I said I got an irregular graph for y1+y2 (by plotting y1 and y2 and visually adding them together, since it is quite impossible to plot a graph using the...
##-w1## and ##-w2## are to shift the cosine graph to the right, and ##\frac{2pi}{\lambda}## is to stretch the graph. But I can't seem to draw an appropriate ##y1+y2## graph (quite irregular) and I struggle to find the resultant frequency and wavelength. Also, why is there angular frequency in a...
Two masses m and M are attached to a compressed spring. When the spring decompresses, the masses won't be pushed off the spring. What will happen to the masses and the entire system? By conservation of energy, the elastic potential energy of the spring will convert into kinetic energy, but which...