A mass of 1.0 g is attached to the end of a spring with a stiffness of 20 N/m. a. Determine the critical damping coefficient, c (i.e., the coefficient at which the system transitions between overdamped and underdamped conditions). b. A dashpot is chosen with a damping coefficient equal to one fifth of that determined in part a. This system is to be used as part of a high speed switch system in which a driving force opens and shuts a switch at fast speeds. fim m -X(1) F(t) The gap between the two electrodes is 1.0 mm. In order to close the switch, a sinusoidal force is applied equal to: F(t) = (16 mN) cos t An engineer is designing the switch such that the on/off function is as fast as possible. What is the highest driving frequency that will result in closing of the switch?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A mass of 1.0 g is attached to the end of a spring with a stiffness of 20 N/m.
a. Determine the critical damping coefficient, c (i.e., the coefficient at which the system
transitions between overdamped and underdamped conditions).
b. A dashpot is chosen with a damping coefficient equal to one fifth of that determined in part a.
This system is to be used as part of a high speed switch system in which a driving force
opens and shuts a switch at fast speeds.
fin
m
X(t)
F(t)
The gap between the two electrodes is 1.0 mm.
In order to close the switch, a sinusoidal force is applied equal to:
F(t) = (16 mN) cos t
An engineer is designing the switch such that the on/off function is as fast as possible. What
is the highest driving frequency that will result in closing of the switch?
Transcribed Image Text:A mass of 1.0 g is attached to the end of a spring with a stiffness of 20 N/m. a. Determine the critical damping coefficient, c (i.e., the coefficient at which the system transitions between overdamped and underdamped conditions). b. A dashpot is chosen with a damping coefficient equal to one fifth of that determined in part a. This system is to be used as part of a high speed switch system in which a driving force opens and shuts a switch at fast speeds. fin m X(t) F(t) The gap between the two electrodes is 1.0 mm. In order to close the switch, a sinusoidal force is applied equal to: F(t) = (16 mN) cos t An engineer is designing the switch such that the on/off function is as fast as possible. What is the highest driving frequency that will result in closing of the switch?
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