3.Consider the single degree of freedom spring-mass system shown in Fig.where k = 4 x 10$ N/m and m = 8 kg. It is being excited by a harmonicforcing function, F1e'o", at a frequency, wf.(a) If the excitation frequency is 200 rad/s, design a dynamic absorber toeliminate the vibration at coordinate x]. The only available spring for use in theabsorber is identical to the one already used in the system.(b) If the 4x10° N/m absorber spring is used in conjunction with a 2 kg absorbermass, at what forced excitation frequency (in rad/s) will the steady-statevibration of coordinate x1 be eliminated?km

Consider the single degree of freedom spring–mass system shown in Fig. where k = 4 x 10$ N/m and m = 8 kg. It is being excited by a harmonic forcing function, Fjeo', at a frequency, Wf. (a) If the excitation frequency is 200 rad/s, design a dynamic absorber to eliminate the vibration at coordinate x1. The only available spring for use in the absorber is identical to the one already used in the system. (b) If the 4x105 N/m absorber spring is used in conjunction with a 2 kg absorber mass, at what forced excitation frequency (in rad/s) will the steady-state vibration of coordinate x¡ be eliminated? k X1 m

Consider the single degree of freedom spring–mass system shown in Fig. where k = 4 x 10$ N/m and m = 8 kg. It is being excited by a harmonic forcing function, Fjeo', at a frequency, Wf. (a) If the excitation frequency is 200 rad/s, design a dynamic absorber to eliminate the vibration at coordinate x1. The only available spring for use in the absorber is identical to the one already used in the system. (b) If the 4x105 N/m absorber spring is used in conjunction with a 2 kg absorber mass, at what forced excitation frequency (in rad/s) will the steady-state vibration of coordinate x¡ be eliminated? k X1 m

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: A 160 pound object is suspended from a spring with spring coeficient 3 Ibt. The whole system is…

A: Given: F(t) = -32sin(2t)+21cos(2t) m= 160 lb k = 3 lb/ft c= 1 lb sec/ft

Q: Consider a spring–mass–damper system with m = 80 kg, c = 15 kg/s, and k = 1500 N/m with an impulse…

A: Given Spring constant, k = 1500 N/m Mass, m = 80 kg Damping…

Q: Piston (M=5kg) is driven when the fly wheel (r=0.1m, J=0.5kgm^2) moves the arm (L=0.2m,m=1kg). The…

A: Given: To find: Natural frequency

Q: The dynamic system below has the following parameters: m₁ = 20 kg, m₂ = 15 kg, m3 = 10 kg, k₁ = 100…

A: Given:To find:Mathematical modelTransfer functionState space representation

Q: Consider a mass m attached to a spring with natural length 7, hanging vertically under the action of…

A: the motion will be started from that instant when the system is released. ie. at t=0 But analysis of…

Q: Prob. # 3] A 0.453 kg mass is attached to a spring having static deflection of 7.87 mm. Calculate,…

A: Deflection (∆) =7mm To fund natural frequency of system

Q: Consider a spring-mass system with mass equal to 1 kg, spring constant equal to 25…

A: a. Write the expression for the critical damping coefficient, Here, b is the coefficient of…

Q: Consider the following system (m 27 kg and k=3kN/m). in k Suppose that the damping coefficient is…

A: Given , morning =27kg and K = 3000 N/m C = 0.5 *C_c

Q: pring stiffness k = 2700 N/m, and a damping coefficient e = 18 N-s/m. The ss is subjected to a…

Q: Consider the dynamic system shown below. Jo k₂ M Determine the characteristic equation(s) when a…

A: Determine the characteristics equation?

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

A: The objective of the question is to derive the equation of motion for a system consisting of two…

Q: An (a) oscillating block-spring system has a mechanical energy of 2.38 J, an amplitude of 9.52 cm,…

A: Given data, Mechanical Energy= 2.38J Amplitude= 9.52cm Maximum Velocity=2.69m/s

Q: In order to evaluate the suspension unit, a test was carried out where the hammer is dropped onto…

A: Solution: Given Data:

Q: Given m = 1 kg, b = 5 Ns/m, k = 4 N/m, and F = 5 N. (a). What is the natural frequency of the…

A: According to the bartleby policy, answering first 3 subparts of the question

Q: A 2 DOF mass-spring system shown below with n = 1, k = 8, and m = 2 with the initial conditions £₁…

A: From the given figure,

Q: Q.3 The following figure depicts the mass spring system. The mass is displaced 0.05 m & released…

A: Given: Mass of the system→M=1 Kg Damping coefficient→D=2 Nsec/m Spring stiffness→K=100 N/m Hence…

Concept explainers

Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.

Question

3.
Consider the single degree of freedom spring-mass system shown in Fig.
where k = 4 x 10$ N/m and m = 8 kg. It is being excited by a harmonic
forcing function, F1e'o", at a frequency, wf.
(a) If the excitation frequency is 200 rad/s, design a dynamic absorber to
eliminate the vibration at coordinate x]. The only available spring for use in the
absorber is identical to the one already used in the system.
(b) If the 4x10° N/m absorber spring is used in conjunction with a 2 kg absorber
mass, at what forced excitation frequency (in rad/s) will the steady-state
vibration of coordinate x1 be eliminated?
k
m

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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

Find the natural frequency (in Hertz) of the system illustrated in the following figure. Consider the length of the rigid bar as 2L and assume K1=4,659 N/m, K2=5,977 N/m, M=0.6 kg, L=0.5 m and g=9.81 m/s2.
damping, c Sliding Crate with Bumper Stop A crate of mass m enters a lubricated slide at a loading dock with a velocity v, to the right and an initial position x(0) = x, in the diagram shown above. The sliding motion is lubricated, characterized by a linear damping coefficient C. At a distance x = L the crate contacts a bumper stop characterized by a spring constant k and a damping coefficient c. Numerical values for the system parameters are: C = 8 N-s/m k = 1000 N/m m = 50 kg X = 0 Vo = 5 m/s L= 20 m Ca is to be experimentally determined in completing this assignment Bumper: Assignment 1) Given these parameters, determine the governing dynamic equation for the crate position. 2) Convert the governing equation to state variable form. This requires two first-order equations: a. dv/dt f:(x,v) b. dx/dt = f.(x,v) where f, is a function of the states, x and v. where f, is a different function of the states, x and v. Make two sets of the above equations, one each depending on whether there…
B/ Two massless springs with spring constants k1=100 and k2=150 are attached to mass of (m=20 kg) at A in parallel as shown in Fig (a). An identical pair of springs is attached to mass B in series as shown in Fig (b). Taking mA = mB = m, find and compare the natural frequencies ws and wp and (ws/wp) of the two systems. (b)
a string is attached to a mechanical vibrator, which has a frequency of 30Hx. the sttring is 3.0m long and has a linear density of .4 g/cm. the tension is varied by adding weights to teh string passing over the pully. What tension is needed to cause the string to resonate with the vibrator in four segments. assume that he points where the string meets the vibrator and the pulley are approx nodes.
Consider the damped mass-spring system for mass of 1.5 kg, spring constant 10 N/m, damping 3 kg/s and an oscillating force 4.7 cos(@t) Newtons. That is, 1.5x" + 3x' + 10x = 4.7 cos(@t). What positive angular frequency o leads to maximum practical resonance? W = help (numbers) What is the maximum displacement of the mass in the steady state solution when the we are at practical resonance: C(@) = help
Consider the dynamic system shown below. Rod Pulley Rc Rod Pulley RA = 10 cm PIB 1A The following parameters are given for the system: m₂ = 1 kg RA mg mc 2 kg RB Rc 20 cm m₂ = 3 kg R₂ = 30 cm k = 1200 N/m Note that pulleys A and B are constrained to move together and pulleys C and D are constrained to move together. Useful note... a. Obtain the characteristic equation(s) for this system. b. The applied force is removed. Then, pulley A/B is turned 2 degrees and released from rest. Find the system response.
Given an oscillator of mass 2.0kg and spring constant of 180N/m, what is the period without damping? Use numerical methods to model this oscillator with an additional friction force equal to where c is a positive damping constant. Using c=5.0, what is the new period of oscillation. What about for c=10? Assume initial position is 0.2m and initial velocity is zero. Please find the period using the position versus time plot and use the first full cycle of the motion.
Vibration
Answer ASAP would be appreciated
Obtain X1(s)/F(s) and then determine the damping coefficient C of the mechanical system below. m2 =160.1 kg, k =953.7 N/m, k, =1,451.7 N/m, b, =148.0 N-s/m. X1(t) x2(t) k2 f2(t) m2 k, b2 massless plate Sonraki
Ex. A vehicle wheel, tire and suspension assembly can be modeled crudely as a single degree of freedom spring mass system. The mass of the assembly is measured to be about 300kg. its frequency of oscillation is observed to be π rad/sec. What is the approximate stiffness of the tire, wheel and suspension assembly? ilippines) Accessibility: Investigate
answer ASAP would be appreciated