A machine part having a mass of 2.5 kg vibrates in a viscous medium. A harmonic exciting force of 30 n acts on the part and causes a resonant amplitude of 14 mm with a period of 0.22 seconds. Find the damping coefficient. If the frequency of the exciting force is changed to 4 hz, determine the increase in the amplitude of the forced vibrations upon the removal of the damper
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Answer:
75
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Answer:
Harmonic Exciting Force F, = Angular Speed Wn X Damping Coefficient, c X Resonant Amplitude, x
i.e. F = Wn X c X x
Wn = 2π ÷ T = 2π ÷ 0.22 =28.56 rad/s
c = F ÷( Wn X x) = 30 ÷ (28.56 X 0.014)
= 30 ÷ (0.39984) =
=75.03 Ns/m
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