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Q. Two harmonic oscillators A and B, of mass m and spring constants kA and kB, respectively, are coupled together by a spring of spring constant kC. Find the normal frequencies w' and w" and describe the normal modes of oscillation if kc^2=kAkB.

Q. Suppose that in the same Atwood setup another string is attached to the bottom of m1 and a constant force f is applied, retarding the upward motion of m1. If m1 = 4.80 kg and m2 = 9.60 kg, what value of f will reduce the acceleration of the system by 50%?

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