Consider the double mass spring system shown in the figure below.wwwx₁ =197}The positions X₁ and x₂ of the two masses are given by the system[90-1*m2x2 ==197₂-(k₁ + K₂)k2X1][*]Xx2k₂-(k₂ + k3)+ F.Let m₁ = 1, m₂ = 1, k₁F₁=9 cos(6t) on the first mass and a force F2= 0 on the second and the masses startfrom rest ( x₁ (0) = x₂(0) = 0 ) and at their equilibrium positions ( x₁ (0) = x₂(0) = 0 ), findthe resulting motion of the system.=1, k₂ = 4 and k3 = 1. If the forcing imparts a force

The values are The initial condition are

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

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

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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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

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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