ether with 4 dashpots which all act in parallel with each other. The stiffness of each spring is given by k1= 3.7 MN/m, and the damping coefficient of each dash-pot is given by c1 = 6.1kNs/m. To test how well the isolation system works, the machine is turned off and a shaker that produces a driving force of 100N at a frequency of 65 Hz is attached to the machine, causing it to vibrate. The mass of the shaker is negligible compared to the mass of the machine. Use a phasor diagram to determine: The displacement amplitude X of the machine,

Q: an object weighing 4lb, when hung from the ceiling, stretches a spring by 6in at equilibrium. the…

A:

Q: A mass of 512 g stretches a spring by 8.5 cm. The damping constant is c= 0.37. External vibrations…

A: For solution refer below images.

Q: The mass of the passenger car is 1660 kg, of which 60% is on the front axle. At the front, the…

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A: note ?as per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly…

Q: A machine of mass 203.5 kg is mounted on four parallel springs each of stiffness 1.6 x 105 N/m. When…

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Q: F X1 www.m X2 www.

A: Given the diagram of a two mass spring damper system . The objective is to draw the free body…

Q: The piece has a mass of 43 kg and is supported by springs with a common spring constant of 4445 N /…

A:

Q: Determine the value of the damping coeffecient c for which the system is critically camped if k = 76…

A: Given data is

Q: A damped single-degree-of-freedom vibration system has m= 7 kg, c= 549 Ns/m, and k= 10 kN/m.…

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Q: 2. Determine the equivalent damping of the system.

A: Given Data⇒

Q: The free vibration response of a SDOF spring-mass-damper system is shown belov ude of vibration…

A: Write the expression of logarithmic decrement. 1Nlnx0xN=2πξ1-ξ2

Q: In a spring-mass system, the mass is m and the spring constant is k. The critical damping…

A: Given,  Initial mass = m1 = m Final mass = m2 = 2m Initial spring constant = k1 = k Final spring…

Q: The block (mass not given) is subjected to the force F = (501 sin(5.9t)) N, where t is in seconds.…

A:

Q: QUESTION 2 A vibrating system can be modeled with a mass weighs 20 kg and supported on springs and…

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Q: 1. Consider the mass m in the connected system shown. The solid rod is assumed to have zero weight.…

A: Given:To find:Damping constant and natural frequency

Q: For a certain mass-spring system m = 100 kg and k = 8000 N/m. Determine the value of the critical…

A:

Q: The subject is vibrati

A: F= movm = M -mot , 0≤ t ≤ t0k = 7.5 × 106 N/mc = 0.2 × 106 N -s/mm0 = 15 kg/sv = 2000 m/sM =…

Q: 6. A machine of mass m = 2kg is supported by four springs and a damper of coefficient of damping c =…

A: Natural Frequency:

Q: P1. A 10-lb weight attached to a spring stretches it 2 ft.The weight is attached to a dashpot…

A: Given:- m=10 lb To find:-   Values of damping constant

Q: A system consists of a mass, a spring, and a dashpot. The mass weighs 19.3 lb. The spring constant…

A:

Q: 6. A machine of mass m = 2kg is supported by four springs and a damper of coefficient of damping c =…

A: Given: mass of the machine→m=2 Kg Damping coefficient→C=1 Ns/m Equilibrium deflection of the…

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: from the pivot point. A mass M = 2 kg is situated at the end of the bar, a further distance b = 0.7…

A: Solution: Given Data: M=2 kgb=0.7 mm=1 kgK1=3 kN/mK2=9 kN/mC=10 N-s/kgF=FocosΩtFo=50 NΩ=34…

Q: 22/ The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the…

A:

Q: A 4-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch…

A: The mass is .The extension of spring is .The damping constant is .The external force is .

Q: 1. Determine the equivalent damping of the system.

A: Given Data⇒

Q: A 7-kg block is suspended by three identical springs, each with k = 200 N/m. The bottom of the block…

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Q: he disk rolls without slip a. What is the critical damping coefficient, ce for the system? b. Plot…

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Q: The block (mass not given) is subjected to the force F = (910 sin(5.3t)) N, where t is in seconds.…

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Q: Q2) ) A mass of 1 kg is to be supported on a spring having a stiffness of 9800 N/m. The damping…

A: Logarithmic decrement represents the rate at which the amplitude of free-damped vibrations reduces.…

Q: 7) In one device, the disc is held in place by a torsion spring and an adhesive damper. Mass inertia…

A: We have,   T=2πωn ωn=2πT ωn=2π4.2 ωn=1.4959 rad/sec

Q: A 2-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch…

A:

Q: The 45 kg piston is supported by a spring of modulus k = 35 kN/m. A dashpot of damping coefficient…

A: Write the given data. m=45 kgk=35 kN/mc=1250 Ns/mP=4000sin30tA=50×10-3 m2

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

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: In a spring-mass system, the mass is m and the spring constant is k. The critical damping…

A: Given that In a spring-mass system, the mass is m and the spring constant is k. The critical…

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.