Question

A vibrating system has a mass of 10 kg, damping coefficient of dashpot 40 N/m/s and that t
springs can be combined to give an equivalent spring of stiffness 4 N/mm then the value of
critical damping coefficient is​

Answer 1

Answer:

Damping ratio,

Where,

Critical damping coefficient,

The amplitude of the steady-state response,

Calculation:

Given:

m = 10 kg, k = 6250 N/m, F = 10 cos(25 t) N, A = 40 mm, ω = 25 rad/s

Using equation (2),

Angular frequency ratio,

Using equation (3),

Using equation (1),

⇒ C = 10 N.s/m