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A standing wave on a string fixed at both ends is described by y(x,t)=2 sin((π/3)x)cos((π/3)t), where...

A standing wave on a string fixed at both ends is described by y(x,t)=2 sin((π/3)x)cos((π/3)t), where x and y are given in cm and time t is given in s. Answer the following questions
a) Find the two simplest travelling waves which form the above standing wave
b) Find the amplitude, wave number, frequency, period and speed of each wave(Include unit in the answer)
c) When the length of the string is 12 cm, calculate the distance between the nodes of this standing wave and draw the shape of the standing wave using y-x plane(give all the details in the drawn figure)

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