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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
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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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.)
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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