E = TCxo;, TTCXm

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

A:

Q: An unbalanced small motor with me-1.2 kg.m is directly bolted to a machine with a mass of 500 kg.…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A 300-kg machine is attached to an elastic foundation of stiffness 3.1 x E6 N/m and damping ratio…

A: m=300 kg K=3.1×106 Nmξ=.06x=10 mmsince x=x01-r22+2ξr2

Q: Problem 1 An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The…

A: Given, m=0.2kg. k=80N/m, Restoring force  Resistive force  1) Differential equation of the motion is…

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

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Q: The equation of motion of a one – degree – of – freedom spring – mass – is given as; 6 * + 0.4c x +…

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Q: Q.5 For a driven damped oscillator, show that the energy dissipated per cycle by a frictional force…

A: Given data: The damped force is, Fd=bv. Write the expression of the equation of motion of the…

Q: Q.6 The mass of an automobile is 1800 kg, vibrates in a vertical direction while traveling on a…

A:

Q: A spring mass system is excited by a force of F sin wt. At resonance, the amplitude з (а) of…

A: Force = Fsinωt N Maximum force = F N Natural frequency = ω0 Forced Frequency = ω S = Static…

Q: (10) A reciprocating compressor of mass 20 Kg runs at a constant speed of 3000 rpm. After…

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Q: The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to…

A: Given:x5x0=0.15K=1502 N/mm=9.5 Kg

Q: 5) The parameters for a one-degree-of-freedom system are M=10-kg. K=16- kN/m, and C=320-Ns/m. (a) By…

A: Given, Mass(m)= 10 kg            Spring constant(k)= 16 kN/m            Coefficient of damping(c)=…

Q: An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The body is…

A: Given, m=0.2kg. k=80N/m, Restoring force  Resistive force  1.  Differential equation of the motion…

Q: Q.6 The mass of an automobile is 1800 kg, vibrates in a vertical direction while traveling on a…

A:

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: An electric motor is mounted on a steel table. The deflection of the table under the weight motor is…

A: Now write the available data as follows.

Q: The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to…

A: Given data: - The ratio of the amplitudes after 5 cycles is xo/x5 = 1/0.15. The stiffness of the…

Q: We obtain the differential equation: mä + bà + kr = 0, as a model for a spring-mass-damper system…

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Q: A machine is represented as a single degree of freedom spring-mass-damper system. The machine has a…

A: Find the damping factor as follows.

Q: Q.1.23 A viscously damped system having resonant amplitude of 1.5 m, spring of stiffness of 1600 N/m…

A:

Q: A 35 kg flow monitoring device is placed on a table in a laboratory. A pad of stiffness 2 x 105 N/m…

A: here we have The national frequency and the frequency ratio are,wn=km =2 x 10535kg N/m…

Q: Q.5 For a driven damped oscillator, show that the energy dissipated per cycle by a frictional force…

A: Write the equation of the driven oscillator, Here, k = mw2 and F(t) = F cos wt x(t) = A cos wt…

Q: A mass of flexible machine part, m1 of 10 ×1 kg was observed to vibrate badly at frequency of 10 Hz.…

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Q: 330.4691 kg, the stiffnesses K1=546103.6157 N/m, K2 = 417004.9619 N/m, the damping constant C…

A: Mass = 330.4691 kg K1= 546103.6157 N/m K2 = 417004.9619 N/m L=0.3215 m

Q: A vibration system

A: Displacement x = 1.268*10-10m Velocity v = -1.425*10-9m/

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 perfectly balanced motor with its shaft has a mass of 18 kg , and a 2 kg disc is fixed onto the…

A: Given data as per the question Mass of motor=18 kgMass of disc=2 kgMass of platform=180 kgk=1.5×107…

Q: A machine weighing 250 lb is mounted on a supporting system consisting of four springs and four…

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Q: What is Logarithmic Decrement in damped vibration? A heavy machine, weighing 3000 N, is supported on…

A: question 1 To find: Explanation for logarithmic decrement in damped vibration

Q: A heavy machine, weighing 3000 N, is supported on a resilient foundation. The static deflection of…

A:

Q: An electric motor, of mass 20 kg and operating speed 1350 rpm, is placed on a fixed-fixed ste beam.…

A: Given:mass of motor, m1=20 kgspeed , N=1350 rpmunbalance mass on rotor=0.1 kg.mamplitude should be…

Q: On rubber wedges modeled as spring and damper electric motor with mass M placed in damped free…

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Q: The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to…

A: A Spring system is a system in which the mass in the system is concentrated on the spring. The…

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.

Q: A block of mass 50 kg supported by a lining material made of rubber as shown in fig. When the block…

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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: 10) In a forced damped vibratory system, why does the maximum vibration amplitude shift to the right…

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Q: For the spring: k = = 0.2[60] N/m. From the motor: amplitude of force = [100] N, forcing…

A: (a) To find: The amplitude of steady state vibration. Given: The stiffness of spring is k=0.2·60=12…

Q: A weight of 15N is vertical suspended by a spring of stiffness k=2N/mm determine natural frequency…

A:

Q: The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to…

A: Given data:

Q: An unbalanced small motor with me=1.2 kg.m is directly bolted to a machine with a mass of 500 kg.…

A: Given : Solution : For the 100% transmission

Q: A 100 kg flow monitoring device is placed on a table in a laboratory. A pad of stiffness 2 x 105 N/m…

A:

Q: As shown in figure, a mass of 100 kg is held between two springs. The natural frequency of vibration…

A: Finding the natural frequency by calculating Keff.

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.