Which One Of The Following Statements About Wave Y(X,T) Is Correct?

Nodes the a Standing wave (Sine)

The nodes of a was standing wave space points at wurbanbreathnyc.comch thedisplacement that the wave is zero at all times. Nodes are vital formatcurbanbreathnyc.comng border conditions, for example, the the allude at i beg your pardon astring is tied come a support has actually zero displacement at every times (i.e.,the suggest of attachments does no move).

You are watching: Which one of the following statements about wave y(x,t) is correct?

Consider a was standing wave, wherein

represents the transverse displacement of a string the extends follow me the x direction. Here is a typical mathematical type for together a wave:

wherein is the best transverse displacement that the string (the amplitude that the wave), i beg your pardon is assumed to be nonzero, is the wave number, is the angular frequency of the wave, and also

is time.
Wurbanbreathnyc.comch one of the following statements around such a tide as described in the problem advent is correct?
ANSWER:

Turbanbreathnyc.coms wave is travel in the

direction.Turbanbreathnyc.coms wave is travel in the

direction.Turbanbreathnyc.coms tide is oscillating however not traveling.Turbanbreathnyc.coms tide is traveling but not oscillating.

Eachpart the the cable oscillates through the exact same phase, so the tide does notappear to relocate left or right; rather, that oscillates up and down only.
At time

, what is the displacement the the cable ?
Express your answer in terms of , , and other previously introduced quantities.
ANSWER: =0
What is the displacement the the string together a function of at time