question archive Governing equation of the Spring-Mass system is [k1+k2 -k2] [y1] [-k2 k2+k3][y2] where k1 and k2 is the stiffness of the spring (spring constant) and F1 and F2 is force applied to the mass m1 and m2 Create Matlab M-file to solve following problems
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Governing equation of the Spring-Mass system is
[k1+k2 -k2] [y1]
[-k2 k2+k3][y2]
where k1 and k2 is the stiffness of the spring (spring constant)
and F1 and F2 is force applied to the mass m1 and m2
Create Matlab M-file to solve following problems.
(1) What is y1 and y2 when k1= 10 N/m, k2= 20 N/m, k3= 15 N/m, and F1= 5 N, F2= 3 N ?
(2) Plot y1 and y2 when k2 continuously changes from 1N to 20N
(3) Plot y1 and y2 when both k1 and k2 continuously changes from 1N to 20N
(4) When k1= 10 N/m, k2= 20 N/m, you want change the spring k3 to make y1=2y2.
What should be the value of k3 ?
(5) What is the eigenvalues and vectors of the Spring matrix K?
(Hint) The problem is to find Y=[y1; y2]; when K=[matrix shown in the slide] and F=[f1; f2] are known
You can find y1 and y2 from Y=inv(K)*F