(a) Set up the model for the (undamped) system in Fig. 81. (b) Solve the system of ODEs obtained. Try y = xe Ït and set Ï 2 = λ. Proceed as in Example 1 or 2. (c) Describe the influence of initial conditions on the possible kind of motions. k = 3 (y, = 0)- m, = 1 У1
Chapter 4, P R O B L E M S E T 4 . 1 #14
(a) Set up the model for the (undamped) system in Fig. 81.
(b) Solve the system of ODEs obtained. Try y = xeωt and set ω2 = λ. Proceed as in Example 1 or 2.
(c) Describe the influence of initial conditions on the possible kind of motions.
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Answer
(a) From Sec. 2.5 we know that the undamped motions of a mass on an elastic spring are governed by m…View the full answer
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P R O B L E M S E T 4 . 3:
- PROBLEMSET4.3-1
- PROBLEMSET4.3-2
- PROBLEMSET4.3-3
- PROBLEMSET4.3-4
- PROBLEMSET4.3-5
- PROBLEMSET4.3-6
- PROBLEMSET4.3-7
- PROBLEMSET4.3-8
- PROBLEMSET4.3-9
- PROBLEMSET4.3-10
- PROBLEMSET4.3-11
- PROBLEMSET4.3-12
- PROBLEMSET4.3-13
- PROBLEMSET4.3-14
- PROBLEMSET4.3-15
- PROBLEMSET4.3-16
- PROBLEMSET4.3-17
- PROBLEMSET4.3-18
- PROBLEMSET4.3-19
- PROBLEMSET4.3-20
P R O B L E M S E T 4 . 4:
P R O B L E M S E T 4 . 5:
PROBLEM SET 4.6: