A single degree of freedom system consists of a mass of 20 kg and a spring of stiffness 4000 N/m. The amplitudes of successive cycles are found to be 50, 45, 40, 35, ...mm. Determine the nature and magnitude of the damping force and the frequency of the damped vibration.

Q: A spring with a stiffness of 300 N/m is connected to a 15 kg mass. A displacement of 60 cm to the…

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Q: Accordingly, determine the mass and stiffness values in the initial system.

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Q: Mechanical Engineering Question

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Q: assuming that mass = 2150 kg K = 80.98 N/mm C =21.19 N/mm    Please answer correctly please.

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Q: = what will be the percentage

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A: The solution is given as follows

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A: Given        Mass, m = 20 kg                    t = 3 s Amplitude, A = 0.5 cm

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Q: 1.4 mm 1.3mm 1.5 0.5 -0.5 -1 -1.5 6. 8 10 12 14 16 18 Displacement, x (mm) 2.

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A: Initial mass, mi=10 kgFinal mass, mf=10+20=30 kg

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A: Given: Mass of the car→m=2150 Kg Spring constant→K=80.98 N/mm Damping constant→C=21.19 N/mm Initial…

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Q: • A helical spring has a stiffness of 1 N/mm. What mass should be hung on it, so that it may…

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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.