Problem 3: A string of length 2.5 m oscillates in the standing wave pattern shown in the figure below. The string has a linear density of 0.05 kg/m and the suspended mass is 0.5 kg. The acceleration due to gravity is g = 9.8 m/s^2.
a) What is the wavelength?
b) What is the wave speed?
c) What is the frequency of the oscillations?
d) Suppose the string continues to oscillate with the frequency you found in part (c). How many nodes will the standing wave pattern have if the suspended mass is now 2.0 kg? If you conclude that there is no standing wave pattern, write "no nodes".