(a) Two identical masses m are constrained to move on a horizontal hoop. Two identical springs with...
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(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.
(c) Now do the general case with N identical masses and N identical springs.
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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 the full answer
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