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Theory of Machines Miscellaneous

  1. A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. If the mass is 50 kg, then the damping factor (d) and damped natural frequency (fn), respectively, are
    1. 0.471 and 1.19 Hz
    2. 0.471 and 7.48 Hz
    3. 0.666 and 1.35 Hz
    4. 0.666 and 8.50 Hz
Correct Option: A

Damping factor

=
C
2√sm

=
400
= 0.741
2√50 × 3.6 × 103

ωd = (√1 - ξ2n
ωd = √1 - (471)2× 8.481
ωd = 7.48
Nd =
ωd
=
7.48
= 1.19 Hz
2 × 3.14



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