spring-mass system with m = 0.01 Mg and k = 5 kN/m is subjected to a harmonic force of amplitude 0.25 kN and frequency ωo. If the maximum amplitude of the forced motion of the mass (particular solution or steady state) is observed to be 100 mm, find the value of ωo

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

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Q: A damped single-degree-of-freedom system has m = 5 kg, c = 500 N-s/m, and k = 5000 N/m. Determine…

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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…

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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: Consider a driven damped oscillator with k = 32.0 N/m, m = 0.5 kg and b = 1Ns/m. The driving force…

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Q: 200 mm m 15 kg C-40 N-5/m TTTTT Fig. 1 K-300 N/m 100 mm

A: Mass =15kgC= 40 N-s/mK= 300 N/m

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A: Given data: The relation of the time period of the cycle with angular frequency can be shown as,

Q: Q2: A machine of mass (m) 25.0 kg is placed on an elastic foundation as shown in Figure below. A…

A: Given:m=25 kgFo=25 NA=1.3 mmT=0.22 sec

Q: Consider a driven damped oscillator with k = 32.0 N/m, m = 0.5 kg and b = 1Ns/m. The driving force…

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A: Given:Velocity of empty carriage,V=0.3msDamping factor=0.5Initial Amplitude,AO=20cm=0.2mLet…

Q: 20 sin(@t) B D 150 225 225 75 N 50 N K= 2,5 kN/m C= 33 Ns/m

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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.