1)I'm analysing a standing wave formed by superposition of Asin(kx-wt) and Asin(kx+wt) so it becomes 2Asinkxcoswt
It asks me to comment on the velocity of this wave. But I thought it was a standing wave - so it has no velocty in the x direction..
So what is its velocity - what does it mean physically - is it just 0? Or w/k? thanks
2) I'm given that general solution of wave equation of string length L can be written as the sum from r=0 to r=infinity of Arsin(xrpi/L)sin(r pi c t /L) + Brsin(xrpi/L)cos(r pi c t /L)
Then I'm told that stationary waves y=f(x)g(t) exist on a string length L.
I'm told f(x) = Asin(kx) I'm told to find an expression for k and find an expression for g(t)
The Attempt at a Solution
I'm not really sure how to solve 2) to be honest..
I thought the f(x) would have to be an infinte sum and k = r pi / L where r is any integer..
I'm a bit confused..any help? Thanks