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onsider the double mass spring system shown in the figure below. CEREREDEVELY m M} e positions ₁ and 2 of the two masses are given by the system m₁ 0 0 m₂ 3-*** = k₂ -(k₁ + k₂) 197₂ €1 k₂ -(k₂ + k3)] [x₂] + F. tm₁ = 1, m₂ = 1, k₁ = 4, k₂ = 6 and 3 = 4. If the forcing imparts a force F₁ = 7 cos(8t) on the first mass and a force F₂ = 0 on the second and the asses start from rest ( x₁ (0) = x₂(0) = 0) and at their equilibrium positions ( ₁ (0) = x₂(0) = 0 ), find the resulting motion of the system.

onsider the double mass spring system shown in the figure below. CEREREDEVELY m M} e positions ₁ and 2 of the two masses are given by the system m₁ 0 0 m₂ 3-*** = k₂ -(k₁ + k₂) 197₂ €1 k₂ -(k₂ + k3)] [x₂] + F. tm₁ = 1, m₂ = 1, k₁ = 4, k₂ = 6 and 3 = 4. If the forcing imparts a force F₁ = 7 cos(8t) on the first mass and a force F₂ = 0 on the second and the asses start from rest ( x₁ (0) = x₂(0) = 0) and at their equilibrium positions ( ₁ (0) = x₂(0) = 0 ), find the resulting motion of the system.

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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Consider the double mass spring system shown in the figure below. 197} X} The positions ₁ and 2 of the two masses are given by the system x1 = x2 = k₂ m₁ 0 -(k₁ [0 ] [3] - [-(*x + A₂) m₂ k₂ k₂ k₂ -(k₂ + K3)] +F. Let m₁ = 1, m₂ = 1, k₁ = 4, k₂ = 6 and k3 = 4. If the forcing imparts a force F₁ = 7 cos(8t) on the first mass and a force F₂ = 0 on the second and the masses start from rest ( x½ (0) = x½ (0) = 0) and at their equilibrium positions ( ₁ (0) = x₂(0) = 0 ), find the resulting motion of the system.
Transcribed Image Text:Consider the double mass spring system shown in the figure below. 197} X} The positions ₁ and 2 of the two masses are given by the system x1 = x2 = k₂ m₁ 0 -(k₁ [0 ] [3] - [-(*x + A₂) m₂ k₂ k₂ k₂ -(k₂ + K3)] +F. Let m₁ = 1, m₂ = 1, k₁ = 4, k₂ = 6 and k3 = 4. If the forcing imparts a force F₁ = 7 cos(8t) on the first mass and a force F₂ = 0 on the second and the masses start from rest ( x½ (0) = x½ (0) = 0) and at their equilibrium positions ( ₁ (0) = x₂(0) = 0 ), find the resulting motion of the system.
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