by using this matrix can you show me the answer of K stiffness M = 93 0 0 53the natural frequency is 44.24rad 6 for [kmamixi-Ka ka +(Ka tki) X =0ma 7-Kai+ K2X) =0Kitk2- Kami- KaKaSoiving theX Figen veutun.matrinBy EigenvawesIm] ) +K]{x}= 0Ka (Ka-X1)I= Edentiy mounix =LCF Dynamic maux [m K]Imlads mma%3Dm,mam,O m2- K2Kitka- KaIC]= [m]"K]mmiLO-K2K2m2- KaK2maThen2-Kitke-K2K2m2K2m2KitkaK2K2K2mim2M2» 2- AK2ma2(kitk2) +Kz (Kitk2)2.Kamim2> 2- 2,K2Kitk2K2K2m2miIBy Solving the eg?we find the1wotK = m,2,%3DmiKa = m2

Given : m1 = 93 m2 = 53 ω=44.24 To find: Stiffness matrix, K

Answered: by using this matrix can you show me…

Engineering

Mechanical Engineering

by using this matrix can you show me the answer of K stiffness M = 93 0 0 53 the natural frequency is 44.24rad

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

Related questions

Q: Find the reaction forces & cables forces & cables total length

A: Find the reaction forces & cables forces & cables total length.

Q: F(t) m2 ka m3 m4 m5 ki

A: Consider a five mass-spring system Using Lagrange's equation The matrix is given by

Q: find the value of θ (t)=.....?from the image below

Q: Q6:Specify the critical path of the following project 30 2 40 30 15 3 20 125 (5) 30

A: To determine the critical path.

Q: Find an LU decomposition of: x+y+z=3 2x-y-z=3 x-y+z=9

Q: 1. For the circuit below, utilize the superposition method to solve the following ли R17 12 2 A + V3…

Q: Derive the expression for the frequency trasfer functions X,(i w)/F (i w) and 0(i w)/F(i w) and…

A: Given : To find : Transfer function

Q: Jse the en gy metnod to del ng the quations of notioi for systems n Fig. 3, 4. Then calculate the…

A: We have given the problem

Q: (c) Determine the natural frequencies of the system. (d) Evaluate the mode shapes of the system…

Q: Find the eigenfrequency and normal Coordinates for the model below. 47 1 b سید 3₁ 19₂2 олишини と 30

A: Given:To find:Frequency

Q: The guessed shape used in a Rayleigh's method calculation to estimate the first flexural natural…

A: Given : 3xl2-x3 To find : number of boundary conditions

Q: For the system shown in the first SDOF, T₁ = 0.5. Find the natural period for the system shown in…

Q: A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the…

Q: Please answer: How many degrees of freedom are in the system Write out the equations of morion in…

A: For solution refer below images.

Q: FIND moments around 0, A and 8 5OON 900N 60 B 4m A 5m

Q: 500N 900N 60 B 4m A 5m

Q: k2 M2 22(012) Ki (a/p)

Q: 3. For the Laplace equation,-²u = 0, on a rectangular domain shown in figure, give the global…

A: Given:To find:Write the global condensed equation.

Q: (3) For the given boundary value problem, the exact solution is given as = 3x - 7y. (a) Based on the…

A: The function φ is given by the expression. φ=3x-7y

Q: Solve for B X A: A = 4j B = 2j + 3i - k Select the correct response: O4i +8k O4i + 12k ( 3i + 12j…

A: Calculated vector B×A.

Q: A semicircular wire is rotating with uniform angular speed 'wo' as shown in Figure 2c. It has a…

A: to find equillibrium position

Q: The figure below shows an aircraft fighter. Each wing of the aircraft may be modelled as a clamped…

Q: m

Q: a) Draw the equivalent mechanical network. p) Write the performance equations. =) Draw analogous…

Q: em as shown below. Assume that all free nodes undergo translation in x (1 DOF at each node) and…

Q: x1(1) k2 m2 *2(1) k3

Q: In the figure shown, I=155mm, b=55mm and wAB=1100rpm (clockwise) Solve for (a) the velocity(m/s) of…

Q: A certain vector in the xy plane has an x component of 4m and ay component of 10m. It is then…

Q: The isotropic reducing of the dimensions influences of the frequency as :

A: This question is based on the concept of effects of frequency

Q: Q1/For the network shown in the figure below, use nodal equations and solve for the nodal voltages.…

Q: Solve for (2) tne velocity(m/s) of P wnen 8=50" (0) the angular velocity(raa/s) of BD when 8=50".…

Q: Ex 1 Find the exuation of motion using the lagrage method. The rod has no mass

A: Given:To find:Find the equation of motion.

Q: 5-20 Choose coordinates x for the displacement of c and clockwise for the rotation of the uniform…

A: The following procedures can be used to address the problem of determining the total moment…

Q: Consider the following spring system. Assume down is the positive direction. Write the stiffness…

Q: Suppose that the stiffness matrices of the above question (as shown below) are as follows: b -b a -a…

Q: The figure shows a bar of mass M- 4 Kg an of the bar of m= 4 kg. The bar is supported 800 N/m Find…

A: The net mass moment of inertia about the hinge point is-

Q: Show me step by step

A: Solving the differential equations by homogeneous function method.

Q: Find the inverse Laplace transforms 10s s²+100 3s s²+7s

A: L-110ss2+100=L-110ss2+102 =L-110.ss2+102…

Q: Solve the given linear system by any method. 211 - I, + 3I3 + 4I, = 9 – 2I3 + 7I4 = 11 311 - 312 +…

Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

by using this matrix can you show me the answer of K stiffness

M = 93 0

0 53

the natural frequency is 44.24rad

6 for [k
ma
mixi-Ka ka +(Ka tki) X =0
ma 7-Kai+ K2X) =0
Kitk2
- Ka
mi
- Ka
Ka
Soiving the
X Figen veutun.
matrin
By Eigenvawes
Im] ) +K]{x}= 0
Ka (Ka-X1)
I= Edentiy mounix =
LCF Dynamic maux [m K]
Iml
ads m
ma
%3D
m,ma
m,
O m2
- K2
Kitka
- Ka
IC]= [m]"K]
m
mi
LO
-K2
K2
m2
- Ka
K2
ma
Then
2-Kitke
-K2
K2
m2
K2
m2
Kitka
K2
K2
K2
mi
m2
M2
» 2- AK2
ma
2(kitk2) +
Kz (Kitk2)
2.
Ka
mim2
> 2- 2,
K2
Kitk2
K2
K2
m2
mi
IBy Solving the eg?
we find the
1wot
K = m,2,
%3D
mi
Ka = m2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

1. For the two-bar truss shown below, find the displacements at node 2 in terms of the problem parameters H, A, E and P. Work out the solution first by hand and then check your result using the Matlab bar element code. EA \\\ (3) H E, A E,2A H H/2
In Figure.4, a car wheel balancer device is used to estimate the location/direction and mass value needed to be attached to the wheel in order to statically balance it and prevent vibration during driving. Your role is to calibrate the system measurement by constructing theoretical calculation of a sample wheel and compare it with the results of the computer. The unbalanced wheel can be modelled as in Figure.5 and the four distributed point-mass as in Table.2.
Solve for x and y in terms of z of the given system below. 2х + 5y- 5х— Зу + -2z %3D4 6z = 5
Differential Equation
What is the determinant of a 1x 1 matrix? Show an example of this matrix.
m1 and m2 = 26kg 2nd natural frequency = 30rad/s find k
5. Assuming that is small, find the governing equation for the reversed pendulum shown in the following figure by using conservation of energy. Linearize your equation by using the approximation that sin~ and cos 0~1 when 0 is small. Ju m 0 m 1
Please solve step by step
Complete the element connectivity table for the following system of springs: K₂ Pontianaf k3 wwww www. K4 4 F5 k5 k6 15 mw 3
Use the Finite Volume method to find general nodal equations for the CV of the geometry. Use the implicit method to find the rate of change of energy storage in the CV.
5. Use the energy method to obtain the equation of motion and the natural frequency of an airplane's steering mechanism for the nose wheel of its landing gear. The mechanism is modeled as the single-degree-of-freedom system illustrated below. X J 0 m (Steering wheel) Sazinty (Tire-wheel assembly)
Figure below shows an aircraft fighter. The wing of the aircraft may be modelled as a clamped wing with two lump masses at its centre and tip. The two masses represent the mass of the wing and the missiles. The equivalent model shown in the figure is used to estimate the first two natural frequencies of the wing and therefore the fuselage can be assumed rigid. 24EI If m1 = am, m2 = bm and bending stiffnesses of the beams are k where a = 9.7147 and b = 4.1873 and if w, and wz are the first and second natural frequencies of the system, w2/wz is: x, (t) x2(t) EI т, EI (m2) /2 1/2 3.2719 2.4236 1.3088 1.7692 4.7260