A mass of 1kg is suspended from a spring of stiffness constant 25N/m. If the undamped frequency is2/√3times the damped frequency,calculate the damping factor.
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Answer:
The natural undamped frequency is given by
f
n
=
2π
1
M
k
⇒f
n
=
2π
1
5
46000
=15.26Hz
The damped frequency is given by
f=f
n
1−δ
2
=15.26×
1−0.09
=14.56Hz
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