For a SDOF system with mass 1.4 kg, spring constant 4.2 N/m, and damping constant 1.5...
For a SDOF system with mass 1.4 kg, spring constant
4.2 N/m, and damping constant 1.5 N-sec/m, the
damped period is (two decimals, units).
Homework Answers
natural circular frequency = 
(spring constant/mass) =3
= 1.732 rad/s
now critical damping constant = 2*mass*natural circular frequency = 2*1.4*1.732 = 4.8497 Nsec/m
damping factor = damping constant/critical damping constant = 1.5/4.8497 =0.3092
so damped circular frequency = natural circular
frequency*(1-damping
factor 2)
1.732 *(1-0.30922)
=1.6471 rad/s
Time period of damping = 2*
/damped
circular frequency = 3.8146 seconds Ans
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