The vibrations of a string fixed at both ends are described by the equation `y= (5.00 mm) sin [(1.57cm^(-1))x] sin [(314 s^(-1))t]`
(a) What is the maximum displacement of particle at x = 5.66 cm ? (b) What are the wavelengths and the wave speeds of the two transvers waves that combine to give the above vibration ? (c ) What is the velocity of the particle at x = 5.66 cm at time t = 2.00s ? (d) If the length of the string is 10.0 cm, locate the nodes and teh antinodes. How many loops are formed in the vibration ?