X2 k m2 Figure 1: A semidegenerate system of carts connected by a spring. Two carts with unequal masses, m1 = 1, m2 = 3, are coupled together by a spring of constant k = 2, as pictured in Fig. 1. This system has M and K matrices [1 0] 2 -2] M= K = (1) 0 3] -2 2 They are initial at rest. With your foot, you apply a unit impulse to the first cart, Q1) = 6(1) (2) what is the subsequent motion of the second cart? (Hint: Find and normalize the modes and construct the Greens matrix.)
X2 k m2 Figure 1: A semidegenerate system of carts connected by a spring. Two carts with unequal masses, m1 = 1, m2 = 3, are coupled together by a spring of constant k = 2, as pictured in Fig. 1. This system has M and K matrices [1 0] 2 -2] M= K = (1) 0 3] -2 2 They are initial at rest. With your foot, you apply a unit impulse to the first cart, Q1) = 6(1) (2) what is the subsequent motion of the second cart? (Hint: Find and normalize the modes and construct the Greens matrix.)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
4
![X1
X2
k
m
m2
Figure 1: A semidegenerate system of carts connected by a spring.
Two carts with unequal masses, m1 = 1, m2 = 3, are coupled together by a spring of constant
k = 2, as pictured in Fig. 1. This system has M and K matrices
[1 0]
M =
2 -2]
K
(1)
[0 3]
-2 2
They are initial at rest. With your foot, you apply a unit impulse to the first cart,
Q(t) = 8(t)
(2)
what is the subsequent motion of the second cart? (Hint: Find and normalize the modes and
construct the Greens matrix.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4b63c57-0331-484a-876a-d4eb73967dee%2Ffcabcbf0-d107-4221-814e-9325ee44aa0d%2Fz0cnysv_processed.png&w=3840&q=75)
Transcribed Image Text:X1
X2
k
m
m2
Figure 1: A semidegenerate system of carts connected by a spring.
Two carts with unequal masses, m1 = 1, m2 = 3, are coupled together by a spring of constant
k = 2, as pictured in Fig. 1. This system has M and K matrices
[1 0]
M =
2 -2]
K
(1)
[0 3]
-2 2
They are initial at rest. With your foot, you apply a unit impulse to the first cart,
Q(t) = 8(t)
(2)
what is the subsequent motion of the second cart? (Hint: Find and normalize the modes and
construct the Greens matrix.)
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