т k у l=2 m х d 12 mm

Q: For a viscously damped system of a vibrating machine, find the values of wa and 3 when the mass of…

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Q: 8(s+5) Y(s) s'+10s +16s +40 vibration of the mass m caused by the displacement of the foundation,…

A: 8×s+5s3+10s2+16s+40×0.05s3+5 X(s) is given above plot of response -

Q: 5. A weight of mass M = 8 kg is suspended by a spring with k = 10 N / m and c = 1.6 N s/m. The…

A: Given M=8kgK=10 N/mC=1.6 Ns/mThe governing equation of system isMx+Cx+kx=0˙¨

Q: ed from the deck with 4 flexible mounts. Determine combined spring constant of mounts such that the…

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Q: A precision grinding machine is supported on an isolator that has a stiffness of 3 MN/m and a…

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Q: k The 8.8 kg block is attached to a spring (k = 214 N/m) as shown. The small wheels serve to…

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Q: An electric motor of mass 68 kg is mounted on an isolator block of mass 1200 kg and the natural…

A: Given 68 kg mounted on 1200kg m=1200+68=1268kg wn=160  rpm=160×2𝜋60=16.75rad/s F=1005m, w= 31.4…

Q: Free Vibration A particle P of mass 5 kg moves along the x-axis attached to the origin with a spring…

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Q: The intensity of vehicle vibration is described by body amplitude, speed, acceleration and jerk,…

A: Given, Amplitude of vibration , A = 15 mm. Maximum traveling speed , v =18 m/s. Mass of the vehicle…

Q: Question 2: A sensitive instrument of mass 100 kg is installed at a location that is subjected to…

A: INTRODUCTION : In this problem, a sensitive device with certain features is used to measure the…

Q: A musical note on a piano has a frequency of 45 Hz. If the tension in the 2-m string is 308 N, and…

A: The wavelength is λ=2L=2×2=4 m The velocity is V=Tμ      ...(1) Here μ is the mass per unit length…

Q: QUESTION 2 The system shown in the figure consists of two bodies and three springs that may be set…

A: Given Data:Masses and Spring Constants:Mass of the first system (M1): 85 kgMass of the second system…

Q: A damped single-degree-of-freedom vibration system has m= 7 kg, c= 589 Ns/m, and k= 8 kN/m.…

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Q: The phase angle describe the relative shift in the sinusoidal vibration of the spring mass system…

A: given; ϕ=phase anglex0=initial displacementx(t)=ω2x02+v02ω*sin(ωt+ϕ)and;ϕ=tan-1ωx0v0

Q: DETERMINE THE AMPLITUDE OF THE STEADY STATE VIBRATION AND ANGLE BY WHICH X LAGS Y.

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Q: Determine the natural frequency

A: To find the natural frequency.

Q: A simple seismometer used to measure ground motion is shown in the figure below. If the mass m = 300…

A: Given: The mass m=300 kg Stiffness k=3000 Nm Damper c=600 Nm The ratio of output to input amplitude…

Q: An electrical switch gear is supported by a crane through a steel cable of length 4 m and diameter…

A: Given data: L=4 md=0.01 mT=0.01 s Need to determine the stiffness of the cable.

Q: QUESTION 1 "An automobile, weighing 1100lb empty and 3200 lb fully loaded, vibrates in a vertical…

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Q: A mass of 21.5 kg is vibrating freely at the end of 3 springs connected in parallel. The spring…

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Q: 2- Weight W = mg k|2 V p = jacking force For the structure given above, assume that the weight of…

A: to findvelocity at t=1 sec when(a) undamped system(b) c=500 KN.sec/m

Q: The free vibrations of a system are governed by the differential equation shown in the image, with…

A: The given information in the problem is listed in the following attached image:

Q: has a stiff us damping A precision grinding achine is supported on constant of 4 kN-s/m. The floor…

A: The stiffness is k=2 MN/m=2*106 N/m. The viscous damping constant is c=4 kN-s/m=4*103 Ns/m. The…

Q: A mass-spring system of mass m = 0.2 kg and elastic constant k = 5 N/m is immersed in a viscous…

A: Mass, m=0.2 kgElastic constant, k=5 N/mHarmonic force of intentensity, F0=10 NFrequency=ω…

Q: personal frequency equation for the following

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Q: Q7. A gear is lifted by a crane through a steel cable of length 4 m and diameter 0.01 m. If the…

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Q: A simplified vibration measuring instrument is used to measure the vertical acceleration of…

A: Given : ω=10 r/s m=1.2 kg k=104 N/m To find : a) max acceleration b) amplitude of duct

Q: A damped single-degree-of-freedom vibration system has m= 3.6 kg , c= 513 Ns/m , and k= 24 kN/m .…

A: m = 3.6 kg c = 513 Ns/m k = 24 kN/m = 24000 N/m

Q: A 5-kg rotor-balancing machine is mounted on a table through an elastic foundation of stiffness 3.1…

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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 mass of 4 kg is suspended from a spring and oscillates up and down at 2 Hz. Determine the…

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Q: A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with…

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Q: one complete cycle. The period of oscillation is observed to be [7] s. Find the spring constant k…

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Q: A weight attached to a 525N/m spring is a damped system. When the weight is displaced and left free,…

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Q: A reciprocating machine weighing 100kN is known to develop vertically oriented harmonic forces…

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Q: The amplitude of vibration of an undamped system is measured to be 1 mm. The phase shift from t = 0…

A: Given data: ωn=5 rad/sat t=0, ϕ=2 rad Need to determine the initial displacement.

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.