Question
Download Solution PDFIf a vibrating system consists of a mass of 50 kg a spring with stiffness of 30 kN/m; then the value of critical damping coefficient will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Critical damping provides the quickest approach to zero amplitude for a damped oscillator.
Damping ratio,
\(\zeta = \frac{{Actual\;damping}}{{Critical\;damping}} = \frac{c}{{{c_c}}}\)
Where CC is the critical damping coefficient
\({C_C} = 2\sqrt {km} = 2m{\omega _n}\)
Calculation:
Given: m = 50 kg, k = 30 kN/m
\(\Rightarrow {C_c} = 2\sqrt {50\times 30 \times {{10}^3} } = 2449.48\;Ns/m\)Last updated on Jul 8, 2025
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