Q- The vibrations of a string of length 60 cm fixed at both ends are represented by the equation 

                y  = 4 sin (π x/15) cos (96 π t)  

(here x and y are in cm and t in seconds) 

(a)  What is the maximum displacement of a point at x = 5 cm? 

(b)  Where are the nodes located along the string ?

(c) What is the velocity of the particle at x = 7.5 cm and at t = 0.25 s?

(d) Write down the equations of the component waves whose superposition’s give the above wave. 

Solution: