Consider a spring-mass system with mass equal to 1 kg, spring constant equal to 25 Newton/meter.Which damping constant b causes critical damping?If the damping constant b in the above system is set to 3 N ∙ sec/m, then what can be said about the number of timesdoes the object pass through its equilibrium position?If the damping constant b in the above system is set to 8 N ∙ sec/m, then what is the interval of time between thesecond time the object returns to its equilibrium position and the third time it returns to its equilibrium position?

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A: From the solution refer below images.

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A: Here we will apply the damping coefficient comparison

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A: Step 1:Step 2:Step 3:Step 4:

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A: Given data as per the question  k1=30 N/m k2= 20N/m

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A: INTRODUCTION : In this problem, a sensitive device with certain features is used to measure the…

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A: The damping constant is The stretched in spring by a  force is .

Q: 2- Two mass-spring syst the mass of system B answer with a plot

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A: The mass of block is The spring constant is .The damping constant is .The initial displacement is…

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Q: For the mechanical system shown, a- Find the equivalent mass, equivalent spring stiffness and…

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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.