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Two particles with mass of m are connected by a spring with the spring constant k. They freely slip without friction on the circular surface. (R > > l) (a) Find the eigenvalues of this system. (10 points) (b) Describe the mass normalized mode shape of the lowest mode. (10 points)

Two particles with mass of m are connected by a spring with the spring constant k. They freely slip without friction on the circular surface. (R > > l) (a) Find the eigenvalues of this system. (10 points) (b) Describe the mass normalized mode shape of the lowest mode. (10 points)

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Two particles with mass of m are connected by a spring with the spring constant k . They freely slip without friction on the circular surface. ( R >> l ) (a) Find the eigenvalues of this system. (10 points) (b) Describe the mass normalized mode shape of the lowest mode. (10points)

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