Question: (a) Two identical masses m are constrained to move on a horizontal hoop. Two identical springs with spring constant k connect the masses and wrap

(a) Two identical masses m are constrained to move on a horizontal hoop. Two identical springs with spring constant k connect the masses and wrap around the hoop (see Fig.). Find the normal modes.

(b) Three identical masses are constrained to move on a hoop. Three identical springs connect the masses and wrap around the hoop (see Fig.). Find the normal modes.

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a Label two diametrically opposite points as the equilibrium positions Let the distances from the masses to these points be x 1 and x 2 measured counterclockwise Then the F ma equations are The determ... View full answer

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