Problem 1 Carbon Monoxide Model the bond of a carbon monoxide (CO) molecule as a spring connecting the atoms with constant k. We will only consider motion along the axis connecting the two. Take the mass of the carbon atom as 3m and that of the oxygen atom as 4m. Consider the coordinates xa and xb such that when xa=xb=0 the spring is at its natural length. (a) What are the equations of motion for the xa and xb coordinates? (b) Find the normal frequencies. (c) Write the corresponding normal coordinates in terms of xa and xb. Describe qualitatively each mode you found