please be specific and explain will up vote if correct and explained QUESTION 3Consider a 2 DOF system shown below.k₁0000mik₂x2kz-0000M₂F2Which of the following is the second natural frequency? Let m1 = 2 kg. m2 = 3 kg, k1 = 5 N/m, k2= 6 N/m, and k3 = 8 N/m.00002.908.561.612.75

Answered: QUESTION 3 Consider a 2 DOF 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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QUESTION 4 Consider a 2 DOF system shown below. k₁ k₂ non m2 F₁ F kz Find the second natural frequency (in rad/s) for the system shown below. Use scientific notation with 3 significant digits. Omit units. (eg. 2.03e0) Let m1 = 3, m2 = 3, k1 = 4, k2 = 6, and k3 = 8.
QUESTION 3 Vibration absorber (also called tuned mass damper) is used to reduce* the vibration at the natural frequency of the original system. Consider a M-K system shown below. Original System x(t) Modified System x₁(1) X2(t) K K MA M 0000 M F(1) F(t) absorber K This system has a natural frequency at rad. The absorber mass and the spring are attached to the original system as shown in the figure, and the values are selected so that (1) the amplitude of the original mass, M. at the original natural frequency is zero, and (2) the new natural frequencies are moved away from the original natural frequency. The selection of absorber mass and stiffness, m and k, is easy. They have the same ratio as the ratio of the original system. That is, M/m = Klk. Find the transfer functions X1(s)/F(s) and X2(s)/F(s) before you can answer questions. What is the fundamental frequency (first natural frequency) of the modified system in rad/s? Use scientific notation with 3 signifincant figures. Omit…
Question la For the spring/mass system below, determine the natural frequencies if: m₁= 9kg, m2=1kg, k₁=24N/m, k2=3N/m and k3=16 N/m. [Ans: 1.7 and 4.4 rad/s] www vyu k₁ M₁ 00000 M2 ********* 00000 k₂
The response of a system 1s given by x(t) = 0.003 Cos Böt +0.0045in 30t m. Defermine the amplitude Og motion, the frequency in Hz, the frequency in rad/s, the frequency n rpm, the phase angle and the responce in the form of x(t)= Asn(wk tp) og mction, the period
0.36 If the mass and the stiffness matrix of the obtained equation is given by M = 0.36 [50.884 K = -45 50.884 -45 Determine: 1.4 the normalized stiffness K; 1.5 the natural frequencies of the system in Hz for the value considered above; 1.6 its eigenvalues and eigenvectors and hence; and 1.7 the modal matrix P and the diagonalised spectral matrix A.
Question 3 Find the natural frequency (in rad/sec) of the system in In the figure below: Use: m1= 5 kg, k1 = 53 N/m, k2 65 N/m and k3 18 N/m Write your answer to FOUR significant figures. Don't write the units X1 X2 k1 k2 k3 W ww m1
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An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial displacement from equilibrium (at time t = 0) is 0.30 m and the initial velocity is 2.0 m/s. %3D 1. Determine the angular frequency (in rad/s), the frequency (in Hz), and the period (in s). Determine numerical values (not in terms of .) Determine the displacement in the form x(t) = Acos(mot) + Bsin(@ot). That is, solve for A and B in meters, and write oo in radians per second.
QUESTION 2 Vibration absorber (also called tuned mass damper) is used to reduce* the vibration at the natural frequency of the original system. Consider a M-K system shown below. Original System x(t) Modified System x₁(1) X2(t) K M F(t) K M m F(t) absorber K This system has a natural frequency at rad. The absorber mass and the spring are attached to the original system as shown in the figure, and the values are selected so that (1) the amplitude of the original mass, M, at M the original natural frequency is zero, and (2) the new natural frequencies are moved away from the original natural frequency. The selection of absorber mass and stiffness, m and k, is easy. They have the same ratio as the ratio of the original system. That is, M/m = KIK. Find the transfer functions X1(s)/F(s) and X2(s)/F(s) before you can answer questions. * I said "reduce," but for undamped system, it can be completely eliminated. What is the response amplitude (particular solution only) of the second mass if…

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QUESTION 3 Consider a 2 DOF system shown below. k₁ 0000 mi k₂ x2 kz -0000 M₂ F2 Which of the following is the second natural frequency? Let m1 = 2 kg. m2 = 3 kg, k1 = 5 N/m, k2= 6 N/m, and k3 = 8 N/m. 0000 2.90 8.56 1.61 2.75