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.
all
10:49 AM
2021-09-21 Page: 1 of 1
B I E E E 90% e
Words: 0
+
Transcribed Image Text:W Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W A A Find - % Cut - =,年章 ↓ T Calibri (Body) - 11 A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy Сopy a Replace Paste в IUabe X, х* ab A I Normal I No Spaci. Heading 1 Heading 2 Change Title Subtitle Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing L • 2:1: 1: | 3:1' 4: ·5.1 6.1:7 l:8: 1'9 ' 10: 1 '11: 1'12 :L·13:1' 14:' 15. LA:L 17:L · 18. 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. all 10:49 AM 2021-09-21 Page: 1 of 1 B I E E E 90% e Words: 0 +
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