Question

Suppose a spring system with three masses and many springs oscillates at a fundamental mode with eigenvalue ? = 16 and eigenvector v = [-3; 5; 3] (A) If mass 2 oscillates with an amplitude of 6, then what is the amplitude of oscillation for mass 1? Amplitude = 18/5 (B) If mass 3 is at maximum height at time t = 5, when will it next be at maximum height? t = (C) Mass 3 oscillates in the same direction as mass 2. (D) If mass 1 begins at displacement u?(0) = -4 and velocity u'?(0) = 2, then what is its displacement function? u?(t) =

          Suppose a spring system with three masses and many springs oscillates at a fundamental mode with
eigenvalue ? = 16 and eigenvector v = [-3; 5; 3]
(A) If mass 2 oscillates with an amplitude of 6, then what is the amplitude of oscillation for mass 1?
Amplitude = 18/5
(B) If mass 3 is at maximum height at time t = 5, when will it next be at maximum height?
t =
(C) Mass 3 oscillates in the same direction as mass 2.
(D) If mass 1 begins at displacement u?(0) = -4 and velocity u'?(0) = 2, then what is its displacement function?
u?(t) =

Suppose a spring system with three masses and many springs oscillates at a fundamental mode with
eigenvalue ? = 16 and eigenvector v = [-3; 5; 3]
(A) If mass 2 oscillates with an amplitude of 6, then what is the amplitude of oscillation for mass 1?
Amplitude = 18/5
(B) If mass 3 is at maximum height at time t = 5, when will it next be at maximum height?
t =
(C) Mass 3 oscillates in the same direction as mass 2.
(D) If mass 1 begins at displacement u?(0) = -4 and velocity u'?(0) = 2, then what is its displacement function?
u?(t) =

Added by Mar-A R.

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