A spring-mass system with m = 0.5 kg and k = 10,000 N/m, with negligible damping, is used  as a vibration pickup. When mounted on a structure vibrating with an amplitude of 4 mm,  the total displacement of the mass of the pickup is observed to be 12 mm. Find the frequency of the vibrating structure.

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Q: 2- A damped single degree of freedom mass-spring system has a mass m = 5 kg, a spring stiffness k =…

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Q: 5. A weight of mass M = 8 kg is suspended by a spring with k = 10 N / m and c = 1.6 N s/m. The…

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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: atural frequency in Hertz of an undamped mass-spring system with a m= 100 grams and k= 100 N/m

A: Given:m=100 grams =0.1 kgk=100 N/m

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Q: A system of beams supports a motor of mass 1200 kg. The motor has an unbalanced mass of 1 kg located…

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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: Consider a spring-mass system with mass equal to 1 kg, spring constant equal to 25…

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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: A machine of mass 170.8 kg is mounted on four parallel springs each of stiffness 2.2 x 105 N/m. When…

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

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Q: A 15 kg block hangs from a spring with a spring constant of 12 kN/m.  The block is initially held so…

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Q: A washing machine weighing 199.5 kg has a rotating unbalance of 0.5 kg. The washing machine is…

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Q: Engineers can determine properties of a structure that is modeled as a damped spring oscillator,…

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Q: Question 2: A sensitive instrument of mass 100 kg is installed at a location that is subjected to…

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

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Q: Find the damping coefficient c for this system.

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Q: The structure shown in figure has a mass of 100 kg and a translational stiffness of 40,000 N/m. It…

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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…

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Q: A simple seismometer used to measure ground motion is shown in the figure below. If the mass m = 300…

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

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

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Q: A spring-mass system with m = 0.5 kg and k = 10,000 N/m. with negligible damping, is used as a…

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Q: 3.5. A spring-mass is excited by a force F, sin ut. At resonance, the amplitude is measured to be…

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Q: has a stiff us damping A precision grinding achine is supported on constant of 4 kN-s/m. The floor…

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Q: A mass-spring system of mass m = 0.2 kg and elastic constant k = 5 N/m is immersed in a viscous…

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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.