"Exercise 6 One end of a long taut string is moved up and down in SHM with amplitude of 0.15 m and frequency of 10 Hz At time 0 the end of the string (at x 0) has its maximum upward displacement: The resultant wave travels down the string in the positive X-direction with a velocity of 50 m s -1. Obtain an equation describing the wave: A wire hangs vertically from ceiling with mass of 10 kg attached to its lower end. The wire is 0.50 m long and weighs 25 g: (a) Calculate the wave velocity along the wire and the wavelength and frequency of the fundamental mode of vibration: (b) If the maximum transverse displacement of the wire in the fundamental mode of vibration is 3.0 cm; calculate the largest values of 'velocity and acceleration that a particle of the wire can have:"