A machine weighing 2000 N rests on a support as illustrated in Figure P2.37. The support deflects about 5 cm as a result of the weight of the machine. The floor under the support is somewhat flexible and moves, because of the motion of a nearby machine, harmonically near resonance (r=1) with an amplitude of 0.2 cm. Model the floor as base motion, and assume a damping ratio of 5= 0.01, and calculate the transmitted force and the amplitude of the transmitted displacement. 2.37 Rubber mount Machine of mass m modeled as a A = static deflection stiffness k and a damper c k Flexible floor y(t)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A machine weighing 2000 N rests on a support as illustrated in Figure P2.37. The
support deflects about 5 cm as a result of the weight of the machine. The floor under the
support is somewhat flexible and moves, because of the motion of a nearby machine,
harmonically near resonance (r=1) with an amplitude of 0.2 cm. Model the floor as base
motion, and assume a damping ratio of = 0.01, and calculate the transmitted force and
the amplitude of the transmitted displacement.
2.37
Machine of mass m
Rubber mount
modeled as a
A = static deflection
stiffness k and
a damper c
Flexible floor
y(t)
Figure P2.37
Transcribed Image Text:A machine weighing 2000 N rests on a support as illustrated in Figure P2.37. The support deflects about 5 cm as a result of the weight of the machine. The floor under the support is somewhat flexible and moves, because of the motion of a nearby machine, harmonically near resonance (r=1) with an amplitude of 0.2 cm. Model the floor as base motion, and assume a damping ratio of = 0.01, and calculate the transmitted force and the amplitude of the transmitted displacement. 2.37 Machine of mass m Rubber mount modeled as a A = static deflection stiffness k and a damper c Flexible floor y(t) Figure P2.37
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