Matlab (3000*30*[(k₂ + 4k₂ + k₂) -4k₂ x₂{*} + [ ² ]{*} [^^ +m₂m₁+·m₂222m₂m₂m₁ = 1kg m₂ = 2kg k₁=k₂ = k₁ = 1%/m11Determine (analytically do not use MatLab):1) The characteristic equation2) The natural frequencies3) The mode shapes normalized to the largest value =1.04) Sketch the mode shapes6) Determine the solutions5) Show the mode shapes are orthogonal with respect to the mass matrixx₂ (t) and x₂ (1) for10X20using the modal method.7) Plot your results using MatLab.W = .7207 rad/s Wn₂ =.1.7552 rad/s= {0.700)11 =-4k₂1.0-0.1754)mm4k₂1010]10mm/secx₁ (t) = 7.1664 sin(.7207t—.00719)+8.7643 sin 1.1552t +2.9678)x₂ (t)=10.2149 sin(.7207t-.00719)-1.5372 sin 1.1552t+2.9678)M(t)RM(t)R

23000064940 *} } [ < € ] {* } + [ ^** + m₂ + m₂ m₂ m₂ m₁ =1kg m₂ = 2kg k₁ = k₁= k₂ = 1¾ 2₁ Determine (analytically do not use Matlab): 1) The characteristic equation 2) The natural frequencies 3) The mode shapes normalized to the largest value = 1.0 4) Sketch the mode shapes 6) Determine the solutions [10] X₂0 Wis using the modal method. 7) Plot your results using MatLab. 5) Show the mode shapes are orthogonal with respect to the mass matrix x₂ (1) and x₂ (1) for -.7207 rad/s ₁₂ Wn₂ = .1.7552 rad/s 1.0 -0.1754) 11 = 1 [(k₂ + 4k₂ + k₂) −4k₂ 11 -4k₂ 2 = nm 30-4 [0.701 1.0 x₁ (t) = 7.1664 sin(.7207t-.00719)+8.7643 sin 1.1552t+2.9678) x₂ (t)=10.2149 sin(.7207t-.00719)-1.5372 sin 1.1552t +2.9678) {*}={100mm/sec M(t) M(t) R

23000064940 } } [ < € ] { } + [ ^** + m₂ + m₂ m₂ m₂ m₁ =1kg m₂ = 2kg k₁ = k₁= k₂ = 1¾ 2₁ Determine (analytically do not use Matlab): 1) The characteristic equation 2) The natural frequencies 3) The mode shapes normalized to the largest value = 1.0 4) Sketch the mode shapes 6) Determine the solutions [10] X₂0 Wis using the modal method. 7) Plot your results using MatLab. 5) Show the mode shapes are orthogonal with respect to the mass matrix x₂ (1) and x₂ (1) for -.7207 rad/s ₁₂ Wn₂ = .1.7552 rad/s 1.0 -0.1754) 11 = 1 [(k₂ + 4k₂ + k₂) −4k₂ 11 -4k₂ 2 = nm 30-4 [0.701 1.0 x₁ (t) = 7.1664 sin(.7207t-.00719)+8.7643 sin 1.1552t+2.9678) x₂ (t)=10.2149 sin(.7207t-.00719)-1.5372 sin 1.1552t +2.9678) {*}={100mm/sec M(t) M(t) R

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

See similar textbooks

Similar questions

determine the displacements x1(t) and x2(t) in the figure consider: F1 = 10.cos2tm1 = 1,7kgm2 = 1,2kgk1 = 1400 N/mk2 = 2200 N/mk3 = 1300 N/mc1 = 0c2 = 0c3 = 0x1(0) = 0,23 mx2(0) = 0,15 m v1(0) = v2(0) = 0
Describe Lagrangian Approach hence show that Lagrangian's equation is given as d/dt dL/dqj - dL/dqj = 0
My question and answer is in the image. Can you please check my work? A 2 kg mass is attached to a spring with spring constant 50 N/m. The mass is driven by an external force equal tof(t) = 2 sin(5t). The mass is initially released from rest from a point 1 m below the equilibrium position. (Use theconvention that displacements measured below the equilibrium position are positive.)(a) Write the initial-value problem which describes the position of the mass. 2y"+50y=2cos(5t) (b) Find the solution to your initial-value problem from part (a). (1+(1/2)tcos(t))cos(5t)-(1/2)tcos(t) (c) Circle the letter of the graph below that could correspond to the solution. B (d) What is the name for the phenomena this system displays? Resonance
A block with a speaker bolted to it is connected to a spring having spring constant k=20.0N/m as in figure P17.40 The total mass of the block and speaker is 5.00lg and the amplituted if this unit's motion is 0.500m. a) If the speaker emits sound waves of frequency 440Hz, determine the highest and lowest frequencies heard by the person to the right of the speaker b) If the maximum sound level heard by the person is 60.0 dB when he is closed to the speaker, 1.00m away, what is the minimum sound level heard by the observer? Assume that the speed of sound is 343m/s
A block spring system oscillates in a simple harmonic motion on africtionless horizontal table, its displacement varie with times according to x(t)=0,2cos(2t_3.14/4) the earliest time the particle reaches position x=0,1m is
A flexible string 1.0 m long is connected to an oscillator. When the oscillator is set to vibrate the string at 100Hz, a standing wave is formed in the fundamental mode of oscillation. What is the speed of waves on the string?
How can the Bode plot be used to analyze and design control systems in mechanical engineering applications?
A 0.1kg object oscillator as a simle harmonic motion along the x _axis with a frequency f=3.18 hz at a position x1,the object has a kinetic energy 0.7j and a potential energy 0.3j,the amplitude of oscillation A is:
A Jello desert resting on a plate is starts wiggling when it is sheared to the side 0.5 cm as is set on the table. The desert is a rectangular prism with a square face 25.0-cm on a side and a height of 12.0 cm. A quick Google search reveals that the density of Jello is 1140 kg/m3 with shear modulus of 530 N/m2. What is its rate of oscillation? If the energy of oscillation is dissipated at the rate of 5.00 x 10-5 J per second how long will the block wiggle?
A certain mass is driven by base excitation through a spring (Figure P4.13). Its parameter values are m = 100 kg, c = 1000 N * s/m, and k = 10,000 N/m. Determine its peak frequency w_p, it’s peak M_p, and its bandwidth.
Find the particular solution of the following differential equation: 100 V' = 200 - 10 V where V is the dependent and t is independent. Given that when t= 0 , V = 0. Find V at 2 seconds.
The First half of this question has been answered. (First 3) Needing help with the last part. Answered: 1) Solid / Ductile Material 2) Spring Constant: K = 05 = 250 N/m 3) Time Threshold: 5 seconds Unanswered / Need: Viscoscity, Charasteristic Frequency & What real world model charasteristic does this describe?