shown. Derive an expression for the amplitude of the vibration of the body. The bodyabsorber consisting of a mass m2 and a spring of stiffness k2 is attached to the body asshows a violent resonance at 152 Hz. As a trial remedy a vibration absorber is attachedwhich is exerted by an Harmonic force F, cOS mt. An undamped dynamic vibrationFigure P6 shows a body of mass m¡ which is supported by a spring of stiffness kį ancwhich results in a resonant frequency at 140 Hz. How many such absorber absorbersProblem 6are required if no resonance is to occur between 120 Hz and 180 Hz.F.cos otk1F(t)=F;cos otX1miF(t)=F;cos wtm2k2k/2k/2-Absorberm2m2Figure P7Figure P5Figure P6WWÉ FWW Problem 9Figure378Mohd Yunus Hi Ahbllah M7Two Degree of Freedom-Free Undamped Vibrationof Machines and Vibrationsconstant.Car massM,m.X2Car springM22kM2Tyre massk22mTyre stiffnessX22kFigure P10 – Twodegree-of-freedom model of avehicle suspension systemFigure P11 Problem 101 sightly more sophisticated model of a vehicle suspension system is given in FigureDI0. Write the equations of motion in matrix form. Calculate the natural frequenciesfor k;=10° N/m ; k2=10* N/m ; M2=50 kg ; M1=2,000 kg.Problem 11Determine the two natural frequencies and mode shapes of the two-mass systems asSTOwn in Figure P11.4kk[o} =X22k2mFigure P122kmFigure P13Figure P14WWE HWWWWHE HW

Answered: Image /qna-images/answer/f232d893-e1cb-412b-8015-e682a13ea1b3.jpg

Figure P6 shows a body of mass m¡ which is supported by a spring of stiffness k, anc absorber consisting of a mass m2 and a spring of stiffness k2 is attached to the body as which results in a resonant frequency at 140 Hz. How many such absorber absorbers which is exerted by an Harmonic force F, cOS mt. An undamped dynamic vibration shows a violent resonance at 152 Hz. As a trial remedy a vibration absorber is attached shown. Derive an expression for the amplitude of the vibration of the body. The body Problem 6 are required if no resonance is to Occur between 120 Hz and 180 Hz. F.cos ot k1 mi F(t)=F;cos ot X1 m1 mi F(t)=F2coS ot m2 k2 k2 -Absorber k/2 k/2 m2 m2 Figure P7 Figure P5 Figure P6

Figure P6 shows a body of mass m¡ which is supported by a spring of stiffness k, anc absorber consisting of a mass m2 and a spring of stiffness k2 is attached to the body as which results in a resonant frequency at 140 Hz. How many such absorber absorbers which is exerted by an Harmonic force F, cOS mt. An undamped dynamic vibration shows a violent resonance at 152 Hz. As a trial remedy a vibration absorber is attached shown. Derive an expression for the amplitude of the vibration of the body. The body Problem 6 are required if no resonance is to Occur between 120 Hz and 180 Hz. F.cos ot k1 mi F(t)=F;cos ot X1 m1 mi F(t)=F2coS ot m2 k2 k2 -Absorber k/2 k/2 m2 m2 Figure P7 Figure P5 Figure P6

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: Write the equation of motion of the system using D'Alemberts principle. Find the natural frequency…

Q: Find the motion of the system in the figure below with mass 0.25 kg, no damping, spring constant 1…

A: Write the differential equation of motion.…

Q: The following is the equation of free damped vibration of a horizontal rod of length L oscillating…

Q: A damped harmonic oscillator with m = 10 kg, k = 250 N/m, and c = 6 driving force given by F, cos…

A: Calculate the angular frequency of the system. ω0=km Here, m is the mass of the oscillator and k is…

Q: For a damped single degree of freedom system with natural frequency wn and damping ratio § , what is…

Q: An engine valve assembly depicted is figure; where k = 857.8 N/m; c =7.8 kg/s, and m =0.0492 kg,…

Q: (1) A rigid bar (OA)with mass m and length L is simply supported at one end and free at the other…

A: Given: Mass of the rod→m=10 Kg And point mass at the end of the rod→M=50 Kg Stiffness of each…

Q: A 0.600kg mass oscillates at the end of spring that has a spring constant of 300N/m. the initial…

A: Data given- m = 0.6 kg K = 300 N/m Ai = 0.5 m A1 = 0.350 FD ∝ v FD = -av

Q: For small positive damping, c, in the sinusoidally forced mass-spring system mz" + cz' + kr = Ggcos…

Q: A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient of the…

A: Write the magnitude of harmonic force. F=5000 N Write the stiffness coefficient of the support.…

Q: Figure Q1 shows a three-degree-of-freedom spring-mass system. If all the masses move to the right…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: A Kolb weight is attached to a spring with natural leng th SA. With the attached, the spring…

Q: System is damped single degree of freedom and under a harmonic loading. There are 5 different F(t)…

A: Considering the system with a damped single degree of freedom and under a harmonic loading given in…

Q: Mass 15 kg. C=150 Ns/m, k = 200 N/m, a=0.5 m, b=0.75 m Find: 1. Static equilibrium condition 2.…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Q.2 Two springs, damper and a mass are attached to a rigid, weightless bar PQ as shown below. Write…

A: Two springs, damper and a mass are attached to a rigid, weightless PQ bar as shown below.Write the…

Q: (1) The bar of mass, m= 10kg and length L=lm is fixed at the left end as shown b (a) The equations…

A: Drawing the free body diagram of the system as shown below, Mass of the bar, m=10 kg,Length of the…

Q: Mass: 10 kg Can move up and down only k: 600000 N/m Fixed a) Find the 1t 5 natural frequencies for…

A: given data; ⇒mass (m)=10kg⇒stiffness (k)=600000N/m⇒damping factor (ζ)=damping coefficient(c)critical…

Q: Q5:- in the fig M= 20 kg, c=7 N.s/m, k=10 N/M, the excitation is 10 sin5t, find natural frequency,…

A: Given:The mass of the body is The spring constant is .The damping coefficient is .The excitation is…

Q: 6. Consider the following 1-DOF system, where k = 857.8 N/m and m = 49.2 * :0-3 kg, calculate the…

A: Natural frequency of an object is defined as the frequency at which the object begins to vibrate in…

Q: (1) A rigid bar (OA)with mass m and length L is simply supported at one end and free at the other…

A: For solution refer below images.

Q: Consider the damped mass-spring system for mass of 1.5 kg, spring constant 10 N/m, lamping 3 kg/s…

Q: of spring-mass-coulomb damping, with mas of 0.1kg, stiffness of 10N s/m and a damping force of 0.1N…

Q: PROBLEM3: Consider the system shown in Figure 3, where m = 70 ton and k = d) Derive the equations of…

A: This is a three degree of freedom system described by variables x1(t) x2(t) and x3(t). Mass of each…

Q: Q5: Find the equation of motion, natural frequency @² critical damping coefficient Ce damping ratio…

Q: Two mass-spring systems are experiencing damped harmonic motion, both at 0.7 cycles per second and…

Q: iven an oscillat

A: mass of oscillator, m=2 kgspring constant, k=180 N/mc=5,

Q: be 90% of the original value. What is the damping the stiffness of the spring is 1 kN/m. By…

A: Given:m=0.1 kgk=1 kN/m

Q: A 0.600kg mass oscillates at the end of spring that has a spring constant of 300N/m. the initial…

A: m=Mass=0.6 kgk=Spring constant of spring=300 N/mA0=Initial Amplitude=0.5 mA1=Final Amplitude=350…

Q: . À. vehicle wheel, tire, and suspension can be modeled as a SDOF spring nd mass as depicted below:…

Q: t would be t

Q: Example . Determine natural frequency, damped natural frequency, damping ratio and logarithmic…

Q: Mechanical Vibration Lesson A 65 kg industrial sewing machine has an imbalance value of 0.15 kgm in…

Concept explainers

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

100%

shown. Derive an expression for the amplitude of the vibration of the body. The body
absorber consisting of a mass m2 and a spring of stiffness k2 is attached to the body as
shows a violent resonance at 152 Hz. As a trial remedy a vibration absorber is attached
which is exerted by an Harmonic force F, cOS mt. An undamped dynamic vibration
Figure P6 shows a body of mass m¡ which is supported by a spring of stiffness kį anc
which results in a resonant frequency at 140 Hz. How many such absorber absorbers
Problem 6
are required if no resonance is to occur between 120 Hz and 180 Hz.
F.cos ot
k1
F(t)=F;cos ot
X1
mi
F(t)=F;cos wt
m2
k2
k/2
k/2
-Absorber
m2
m2
Figure P7
Figure P5
Figure P6
WW
É FWW

Problem 9
Figure
378
Mohd Yunus Hi Ahbllah M7
Two Degree of Freedom-Free Undamped Vibration
of Machines and Vibrations
constant.
Car mass
M,
m.
X2
Car spring
M2
2k
M2
Tyre mass
k2
2m
Tyre stiffness
X2
2k
Figure P10 – Twodegree-of-freedom model of a
vehicle suspension system
Figure P11

Problem 10
1 sightly more sophisticated model of a vehicle suspension system is given in Figure
DI0. Write the equations of motion in matrix form. Calculate the natural frequencies
for k;=10° N/m ; k2=10* N/m ; M2=50 kg ; M1=2,000 kg.
Problem 11
Determine the two natural frequencies and mode shapes of the two-mass systems as
STOwn in Figure P11.
4k
k
[o} =
X2
2k
2m
Figure P12
2k
m
Figure P13
Figure P14
WW
E HWW
WWHE HW

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

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

A vehicle suspension with mass of a single degree damped vibrating system of 8 kg makes 30 free oscillations in 15 seconds when disturbed from itse quilibrium position. The amplitude of vibration reduces to 0.3 of its initialv alue after five oscillations. Calculate: Stiffness (k) of the spring, logarithmic decrement damping factor
An automobile whose weight is 150 N and it is mounted on 4 identical springs due to its weight it sags by 250 mm . each shock absorber has damping coefficient of 0.4 N for a velocity oof 30 mm/sec. The car is placed on a platform which moves vertically at resonance speed having an amplitude of 10mm. Find the amplitude of the car
A captive James Bond is strapped to a table beneath a huge pendulum made of a 3.0-m-diameter uniform circular metal blade rigidly attached, at its top edge, to a 5.5-m-long, massless rod. The pendulum is set swinging with a 10∘ amplitude when its lower edge is 3.8 m above the prisoner, then the table slowly starts ascending at 1.0 mm/s. What is the period of the deadly blade-pendulum? How many oscillations will the deadly blade-pendulum make before it reaches James Bond (provided he doesn't stage a dramatic escape first)?
A mass of 85 kg is supported on springs which deflect 18 mm under the weight of the mass. Thevibrations of the mass are constrained to be linear and vertical and are damped by a dashpot whichreduces the amplitude to one quarter of its initial value in two complete oscillations. Find : 1. themagnitude of the damping force at unit speed, and 2. the periodic time of damped vibration.
An object of mass 2 kg is attached to a spring of stiffness 200 N / m on a horizontal frictionless surface . Then it is extend by 10 cm and then let free to oscillate . 1- How long will it take to make one complete oscillation ? 2- Determine the amplitude and give an expression for the displacement as a function of time . 3- Calculate its displacement , velocity , acceleration and force acting on it after sec . 4- Calculate its velocity by the time it is extended by 0.5 cm
Please quick answer
please include detailed solution and explenation.
A block of mass m hangs from a spring with a spring constant k. The block is initially held so that the spring is unstretched. If the natural circular frequency of the system is 10 radians/sec, how many cycles of vibration will the block experience in five seconds after it is released?
Two springs, damper and a mass are attached to a rigid, weightless bar PQ as shown below. Write the equation of motion of the system using D'Alemberts principle. Find the natural frequency of vibration of the system. 06+ (kde) d. E C m
What is the true option
Uniform rod OA of long 400 mm and mass of 4 kg which is pivoted on a fixed pin at O. A spring of stiffness 45 N/m is attached at the end A. in the position of equilibrium the rod is inclined at 30° to the vertical and the axis of the spring is perpendicular to the rod. Estimate the natural frequency of vibration of the system for small oscillations. 30
The system shown consists of a mass m and a massless rod oflength l. The system is supported by two springs which have stiffness coefficients k1 and k2, as shown in the figure. Derive the system differential equationof motion assuming small oscillations. Determine the natural frequency of thesystem.