Question

For a spring-mass-damper system, m=50 kg and k=5,000 N/m. Find the following:

(a) critical damping constant c

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Answer 1

The critical damping constant c for the spring-mass-damper system is 1,000 Ns/m.

Step-by-step explanation:

In a spring-mass-damper system, critical damping occurs when the damping constant c is equal to twice the square root of the mass m multiplied by the stiffness constant k. Therefore, to find the critical damping constant c, we can use the equation:

c = 2 * √(m * k)

Substituting the given values:

c = 2 * √(50 kg * 5,000 N/m)

c ≈ 2 * √(250,000) = 2 * 500 = 1,000 Ns/m