A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient of the support is 10×10^4N/m and damping coefficient ζ=0.2 If the maximum deflection is to be less than 0.06m find the operating frequency range?

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Q: A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient o 10 x 10ʻ…

A: Mechanical Vibration

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Q: A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient of the…

A: Givenm=100kgF=5000Nξ=0.2stiffness coefficient k=10×104N/mmaximum deflection ∆max=0.06m

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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.