Consider the double mass spring system shown in the figure below. M} m₁ The positions x₁ and x₂ of the two masses are given by the system [903-1* K] m₂ = 197₂ -(k₁+k₂) k₂ k2 −(k₂ + k3) X1 1[*] + F. Let m₁ = = 1, m₂ = 1, k₁ = 1, k₂ = 4 and k3 = 1. If the forcing imparts a force F₁ = 9 cos(6t) on the first mass and a force F₂ = 0 on the second and the masses from rest ( x (0) = x2(0) = 0 ) and at their equilibrium positions ( x₁ (0) = x₂(0) = the resulting motion of the system

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Consider the double mass spring system shown in the figure below.
www
x₁ =
197}
The positions X₁ and x₂ of the two masses are given by the system
[90-1*
m2
x2 =
=
197₂
-(k₁ + K₂)
k2
X1
][*]
Xx2
k₂
-(k₂ + k3)
+ F.
Let m₁ = 1, m₂ = 1, k₁
F₁
=
9 cos(6t) on the first mass and a force F2
= 0 on the second and the masses start
from rest ( x₁ (0) = x₂(0) = 0 ) and at their equilibrium positions ( x₁ (0) = x₂(0) = 0 ), find
the resulting motion of the system.
=
1, k₂ = 4 and k3 = 1. If the forcing imparts a force
Transcribed Image Text:Consider the double mass spring system shown in the figure below. www x₁ = 197} The positions X₁ and x₂ of the two masses are given by the system [90-1* m2 x2 = = 197₂ -(k₁ + K₂) k2 X1 ][*] Xx2 k₂ -(k₂ + k3) + F. Let m₁ = 1, m₂ = 1, k₁ F₁ = 9 cos(6t) on the first mass and a force F2 = 0 on the second and the masses start from rest ( x₁ (0) = x₂(0) = 0 ) and at their equilibrium positions ( x₁ (0) = x₂(0) = 0 ), find the resulting motion of the system. = 1, k₂ = 4 and k3 = 1. If the forcing imparts a force
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