machine 4u=b sin o base

Q: A 8.6kg body is suspended from a spring of constant k 6.9kN/m. At time t = 0, it has a downward…

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Q: spring-mass system with m = 0.01 Mg and k = 5 kN/m is subjected to a harmonic force of amplitude…

A: m = 0.01 Mg = 10000 g = 10 kg k = 5 kN/m = 5000 N/m F0 = 0.25 kN = 250 N X = 100 mm = 0.1 m ω0 = ?

Q: 50-kg machine tool is mounted on an elastic foundation. An experiment is run to determine the…

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Q: The mass of a single degree damped vibrating system is 7.5 kg and makes 24 free oscillations in 14…

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Q: spring-mass system with m = 0.01 Mg and k= 5 kN/m is subjected to a harmonic force of amplitude 0.25…

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Q: The free-vibration response of a spring-mass system is observed to have a frequency of 2 rad/s, an…

A: The damping ratio is less than unity; it is a case of under damping or viscous damping. The…

Q: A 15 kg block hangs from a spring with a spring constant of 12 kN/m.  The block is initially held so…

A: Given data: Mass of the object (m) = 15 kg Spring constant (k) = 12 kN/m Need to determine the…

Q: Coulomb damping between dry surfaces D is a constant always opposed to motion. Determine: (a) The…

A: Given: F - F0sinwt To find: Equivalent viscous damping Amplitude of vibration

Q: The logarithmic decrement of damping of a tuning fork oscillating with a frequency 1,1 Hz is 5.…

A: Given: δ=5 ω=1.1 Hz To find: Time interval for amplitude to decrease by 7.1 times

Q: A Mass, spring, and dashpot system is shown in Figure 2.1. It has a block of mass m = 1 kg, a spring…

A: Answer: 2.1. The damping ratio is 0.044084. 2.2. The damping coefficient is 12.4689 N•sec/m.

Q: A machine of mass 30 kg is placed on an elastic foundation. A sinusoidal force of magnitude 28 N is…

A: The system is modeled as a mass attached to a spring in parallel with a viscous damper with a…

Q: A mass m = 2.5 kg is suspended by a spring of stiffness constant s = 40 Nm-1. The amplitude of the…

A: Given:m=2.5 Kgs=40 Nm-1x0x5=10.2=5n=5

Q: A 16.3 kg motor is bolted to a light horizontal beam which has a static deflection of 0.19 cm due to…

A: GIVEN DATA UNBALANCE MASS m=0.02 kg Eccentricity e=15.8cm SPEED N=900rpm We have to calculate…

Q: (73) A uniform slender bar of mass 3 kg is hinged at O and has a horizontal position under the…

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Q: A spring-mass system with m = 0.5 kg and k = 10,000 N/m. with negligible damping, is used as a…

A: According to the information we have a mass of the spring is 0.5 kg and spring stiffness k is…

Q: An accelerometer has a suspended mass of 0.02 kg with a damped natural frequency vibration of 120…

A: given; →mass (m)=0.02kg→natural frequency (fn)=120Hz→gain at resonance (A)=2.85

Q: A vibrating system consisting of a mass of 2.267 kg and a spring of stiffness 17.5 N/cm is viscously…

A: mass m=2.267 kgspring stifness k=17.5 Ncm=1750 Nmratio of successive amplitudes:x1x2=10.98

Q: A mass of flexible machine part, m, of 30 kg was observed to vibrate badly at frequency of 10 Hz.…

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Q: When a 40-kg machine is placed on an elastic foundation, its free vibrations appear to decay…

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Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

A: Given data g' = g/4

Q: A 100 kg fan is mounted on four parallel springs and a damper as shown. If the spring coefficient of…

A: Equivalent stiffness of the system = 120/4 = 30 kN/m angular rotation = w =4000 x 2π60= 418.8790…

Q: A 2.50-kg object is attached to a spring with a force constant of 4.50 N/m. The object rests on a…

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Q: A spring-mass system, with a spring stiffness of 5,000 N/m, is subjected to a harmonic force of…

A: Given data: k=5000 N/mF0=30 Nf=20 Hzx=0.2 m Need to determine the mass of the system.

Q: A rotor of mass 10 kg is mounted midway on a 2 cm diameter horizontal shaft supported at the ends by…

A: The solution is in next step

Q: The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the…

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Q: A machine of mass 25 kg is placed on an elastic foundation. A sinusoidal force of magnitude 25 N is…

A: Given: Mass of the machine is m=25 kg, sinusoidal force is F0=25 N  amplitude is Xmax=1.3 mm and…

Q: A mass of 10 kg stretches a spring 80 cm. The mass is acted on by an external force of 2cos(3.5t) N,…

A: Given data m=10 kgx=0.8 mF=2 cos3.5 tFd=0.5 Nx.=7 m/s

Q: An automobile having a mass of 2,000 kg deflects its suspension springs 0.02 m under static…

A: given : m = 2000kg δ = 0.02 m

Q: A 91-kg machine element supported by four springs, each of constant k = 175 N/m, is subjected to a…

A: Given data: The mass of machine element, m = 91 kg. The spring constant, k = 175 N/m. The amplitude…

Q: A vibrating mass of 200 Kg, mounted on a massless support by a spring of stiffness 80KN/m and a…

A: Note: As per our company guidelines, we are allowed to answer upto three-subparts. I am answering…

Q: A force of 3 N stretches a spring by 1 m.(a) Find the spring constant k.(b) Amass of 4 kg is…

A: givenForce applied to spring F=3Nspring streched δ=1mAmass of 4 kg is attached to the spring.At t =…

Q: For a system having a mass of 75 kg, a viscous damping of 50 N.s/m, an unbalance of 0.2 kg.m and an…

A: Given that Meq= 75 kg ; X=0.002 , F0= 0.2×9.81 N=1.862 N, ω=500rpm=506rps;So using the equation for…

Q: An SDOF system consists of a mass with weight of 175 kg and a spring constant, k = 530 kN/m. While…

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

Q: A 30 kg object is undergoing lightly damped harmonic oscillations. If the maximum displacement of…

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Q: In a single degree of freedom undamped spring-mass system, the mass m 3 kg, and the stiffness…

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Q: A 50-kg machine tool is mounted on an elastic foundation. An experiment is run to determine the…

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Q: 2. The base of a damped spring-mass system, with m = 25 kg and k = 2500 N/m and is subjected to a…

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Q: A damped SDOF system is subjected to harmonic excitation at a frequency of 132 radians/second. If…

A: Given data: Single degree of freedom damped system given a harmonic excitation, ω=132 rad/s Force…

Q: A 100 kg fan is mounted on four parallel springs and a damper as shown. If the spring coefficient of…

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Q: A dynamical structure having mass 20 kg is installed on the elastic foundation. This structure could…

A: given data: mass=20kg sinosoidal force=20N amplitude(A)=.0012m time period T output responce=0.20s

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

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Q: A damped single degree of freedom mass-spring system is excited at resonance by a harmonic forcing…

A: Given that, Force, F=40 N,Mass of system, m=3 kg,Stiffness coefficient, k=2700 N/m,Damping…

Q: A mass weight 100 N is supported by a spring of stiffness 20 KN/m and a viscous damper. During free…

A: Given Data F=100 N K=20 kN/m

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.