3. Two equal masses, m, are connected as shown in the figure below with two identical, massless springs, with spring constant k. Consider only motion in the vertical direction. [Hint: Use complex solution of the form, x = Aeut and x = Belwt. (a) Find the angular frequencies of the two normal modes for the system. (b) Find the ratio of amplitudes for the two masses in each of the two modes.
3. Two equal masses, m, are connected as shown in the figure below with two identical, massless springs, with spring constant k. Consider only motion in the vertical direction. [Hint: Use complex solution of the form, x = Aeut and x = Belwt. (a) Find the angular frequencies of the two normal modes for the system. (b) Find the ratio of amplitudes for the two masses in each of the two modes.
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3. Two equal masses, m, are connected as shown in the figure below with two identical,
massless springs. with spring constant k. Consider only motion in the vertical direction.
[Hint: Use complex solution of the form, xa = Aetut and x, = Betwt
(a) Find the angular frequencies of the two normal modes for the system.
(b) Find the ratio of amplitudes for the two masses in each of the two modes.
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