A machine part of mass 1.95 Kg vibrates in a viscous medium. Determine the damping coefficient when a harmonic exciting force of 24.46 N results in resonant amplitude of 1.27 cm with a period of 0.20s.

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

A: Vibrations: The back and forth motion of the body, when the body is displaced from the equilibrium…

Q: chir

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Q: A 160 pound object is suspended from a spring with spring coeficient 3 Ibt. The whole system is…

A: Given: F(t) = -32sin(2t)+21cos(2t) m= 160 lb k = 3 lb/ft c= 1 lb sec/ft

Q: A mass of 1.42 Kg is connected to a spring of spring constant 8.71 N/m. An oscillation is started by…

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Q: Consider a cam follower rising in harmonic motion to a lift of 210 mm as the cam rotates from 160 to…

A: Given   Lift, h = 210 mm  Angle = 190o Find   Displacement, y

Q: A thick metal wire (consider it to be a string) on a particular piano is 2.0 m long and has a…

A: The given data :

Q: Use the proportionality constant for unit analysis where necessary.

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

A: In vibrating system, damping ratio represents the degree of dampness provided in the vibrating…

Q: In a damped single-degree-of-freedom system with a mass of m = 10 kg, stiffness coefficient k = 4000…

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Q: According to a source THEORYO F VIBRATION WITH APPLICATIONS FOURTHEDMON W I L L IAMT.THOMSON ..k.E…

A: Step 1: Let's revisit the analysis and confirm the solution step-by-step for the given mechanical…

Q: = what will be the percentage

A: Given data; mass(m)=2kgharmonic exciting…

Q: The mass of a single degree of freedom damped vibrating system is 75 kg and vertically attached to…

A: m=Mass of a single degree of freedom=75 kgk=Stiffness  of a Spring=10.5 kN/mC=Damping coefficient of…

Q: Find the natural frequency of the system for small oscillations.

A: Given: To determine: Natural frequency for small oscillation

Q: An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial…

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Q: A piston of mass 2 kg vibrates in oil. The system has a harmonic exciting force of 35 N which…

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Q: A rotating mass machine has a mass of 200 kg and It rests on four shock absorbers, one of which has…

A: Approach: The resulting amplitude can be find out using the formula for the magnification factor…

Q: The natural frequency ω of vibration of a mass M attachedto a rod, as in Fig.  depends only on M and…

A: given test mass of the ball (M1) = 2 kg length of the steel rod (l) = .4 m diameter of the steel rod…

Q: Find the damping coefficient c for this system.

A: Given: m= 24 kg k= 3000 N/m no of cycles (N)=5 xNx0=110x: Amplitude To find: Damping coefficient c…

Q: The equations of motion of three different 1 – D.o.F. systems are given as follows. If the system…

A: Given data:-mass, m=5kglength of span, L=150cm=1.5mRadius, R=200cmspring constant,…

Q: A spring mass damper system subjected to vibration with a mass of 4kg, spring stiffness of 100N/m…

A: Given: The mass of the object, m = 4 kg The spring stiffness, k = 100 N/m The damping coefficient, c…

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

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Q: A mass, m of 2 1 kg consider one vertical motion only with angular displacement, wt, with spring…

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

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

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

A: Given, Frequency of oscillations = f = 1.1 Hz Logarithmic decrement = δ = 5   Let us say after t…

Q: Given m = 1 kg, b = 5 Ns/m, k = 4 N/m, and F = 5 N. (a). What is the natural frequency of the…

A: According to the bartleby policy, answering first 3 subparts of the question

Q: A mass of 7.9 kg oscillates at the end of a spring of stiffness 26.1 Nm¹. If the damping ratio is…

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

A: (a)Consider W as the weight force, k as the stiffness of the foundation, and ds as the deflection.…

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: An oscillator system without damping has a natural frequency of omega 0 = pi rad/s.  Several types…

A: Given : ω0 = 3.14 rad/s ζ=0.1,0.5,1 To find: a) Frequency of oscillator b) Displacement at t = 2…

Q: A single degree of freedom system with mass of 100 Kg, a damping ratio of 0.707 and a natural…

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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: For a damped simple harmonic oscillator, the block has a mass of 1.1 kg and the spring constant is…

A: Given: mass, m=1.1 kgspring constant, k=13 N/mdamping constant, b=220 g/s=0.22 kg/sx0=14.7 cm=0.147…

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.