Determine the response of a system with one degree of freedom to an impulse F for the following data: m = 6 kg, c = 7 Ns/m, k = 48 N/m, F = 4. The response has the format below:   Determine the value of amplitude X.

Q: Ito complete this, it is required to determine the amplitude and phase angle of the transient…

A: Given data as per question stiffness of spring =5000 N/m Mass = 2.5 kg the condition needed for…

Q: Figure 2 illustrates a simple mass-damper-spring system. Suppose the output response of the…

A: freebody diagram according to newtons law of motion,ft=f19+fB1+fk1

Q: Q.1) In a special medical device that represented analogy as a spring mass system subjected to…

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Q: Find the Frequency Ratio, Displacement, Transmissibility Ratio, Absolute displacement of the mass,…

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Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A: It is required to determine ratio of frequency on two different places

Q: Consider k₁-1.2, b=7.0, m-1 and initial condition a(0)-0.6 (compatible units). Find the value of k₂…

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Q: The damper in a model reduces the oscillations of the system response. True False

A: It is required to determine whether use of damper reducing oscillations

Q: For the single degree of freedom system shown below in Figure Q6, and considering only the steady…

A: Given he force input, damping coefficient and forcing frequency.  Required: Amplitude of…

Q: The phase of the response of systems having only coulomb friction damping changes gradually as the…

A: The given statement is false.

Q: If a mass of 6 kg oscillates on a spring having a mass 3 kg and stiffness 11200 N/m, then the…

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Q: Problem 6. Fox Fork Fabrication Fox Factory Inc. is testing a new fork design. A step force of F=…

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Q: Q1. A mass-spring-damper vibration system, if the mass is 10 kg. stiffness -2000 N/m and damped…

A: given; mass (m)=10kgstiffness(k)=2000N/mdamped constant (C)=50N.s/minitial frequency…

Q: system of Volvo articulated dump truck is to be modelled mathematically given the following data:…

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Q: Consider that the free response of the mechanical system is given by y(t) = 5e-at cos(2nf) (Eq. 1)…

A: Calculate the frequency of damped oscillations of the system in Hertz and rad/s.

Q: 4.9. A one-degree-of-freedom system of natural frequency w, and damping ratio 5 < 1B subject to a…

A: Find the attachment for the solution.

Q: A second order system has natural angular frequency of 2.Q rad/s and a damped frequency of 1.T…

A: (a) Given that, Natural angular frequency, ωn=2 rad/sec,Damped frequency, ωd=1.8 rad/sec, (i) The…

Q: 6. Determine the response of a system with a degree of freedom to an F impulse for the following…

A: Given: The mass of system, m = 3 kg The damping coefficient, c = 7 Ns/m The stiffness, k = 7 N/m The…

Q: The response z(4.9), m, is

A: Answer - option (c) = 0444311

Q: Q.4 Show that the time tm corresponding to the peak response of a damped single degree of freedom…

A: according to the given details

Q: system is su Owing given D kg, Xo = 0.

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Q: For the single degree of freedom system shown below in Figure Q6, and considering only the steady…

A: In order to solve this problem, we must first determine the natural frequency of the vibration and…

Q: A mass of 10kg is attached between two spring having stiffness 15KN/m & 10kN/m respectively.The…

A: Data given-  Mass m = 10 kg  Stifness  k1 = 15 kN / m  k2 = 10 kN /m

Q: 1. Solve the following initial value problems, and determine the natural frequency, amplitude and…

A: Given

Q: Consider the damped harmonic oscillator shown below and modeled by the system: k - ()*+ (-) m (1)…

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Q: 1.25 Determine the steady-state amplitude of block in the system of Figure 9.9 and Problem 1.15 if…

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Q: 1 Fguation of Motion

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Q: Determine the response of a system with a degree of freedom to an F impulse for the following data:…

A: Write the expression of motion of mass-spring-damper system. md2xdt2+cdxdt+kx=Fsinωt

Q: An undamped spring mass system has a mass of 10 kg and a spring stiffness of 2250 N/m. It is excited…

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Q: Determine the response x(t) of the system in the figure, when the system is initially at rest, and…

A: Spring mass damper system The mass is The applied force is The system starts from rest.

Q: A mass, spring and a damper system is subjected to an external harmonic excitation of 200cos15t (N).…

A: Write the expression of mass, spring and damper system. md2xdt2+cdxdt+kx=Fext

Q: A Mass, spring, and dashpot system is shown in Figure 2.1. It has a block mass of m = 10 kg The…

A: given data; ⇒f(t)=200cos10t                                                   eq.1⇒ with the help of…

Q: solve please by lagrang method to find the eqation of motion and to find the frequencies and mode,…

A: a=255 mm b=100 mm L= 400 mmM=1.1 kgm=.995 kgk=5 Nmm or 5000 Nm

Q: Determine the response of a system with a degree of freedom to an F impulse for the following data:…

A: Givenm=6kgc=9Ns/mk=34N/mF=5N

Q: A force of 20 newton stretches a spring 1 meter. A 5 kg mass is attached to the spring, and the…

A: Force required to strech a spring F = 20 N Spring streched  ∆x = 0.1 m To find  Energy does the…

Q: Determine the response of an undamped system to the forcing condition represented by the curve: (a)…

A: The forcing condition can be represented by the following equation:whereA is the amplitude of the…

Q: The horizontal displacement y(t) of the left solid is imposed. Then we only study the horizontal…

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Q: Figure 2 shows a spring-mass system with m= 10 kg, k = k= k3 = ka = 2000 N/m, ks = ko = %3D %3D 3000…

A: Given : To find : Response

Q: The car bridge in Figure Q20 can be modelled as a damped-spring oscillator system with mass M =…

A: Given: The mass of the vehicle: →m=1136 Kg Mass of the bridge: →M=10000 Kg Spring constant→k=50000…

Q: Consider a free response of a underdamped second order system shown below. Given that the…

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Q: Q1: For the system shown in figure (1), find the values of a, b, and K. to obtain the required…

A: Damping ratio The damping ratio is a parameter, usually denoted by ζ (zeta), that characterizes the…

Q: Determine the damping factor and natural frequency for the second-order system below and determine…

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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.