Assume you have a (translational) mass-damper system in which a horizontal force is applied to a mass sliding horizontally along a surface with some friction that can be approximated by a damper. Both the mass m and damping coefficient b are greater than zero, and the force and position are positive in the same direction. No spring is present in the system. If the system's input is the force f(t) and output is the velocity of the mass v(t), which of the following statements is true? O The plant system is not BIBO stable because it has a pole in the right half plane (RHP). O We cannot determine the stability of the plant unless we know if the input force is bounded. O The plant system is not BIBO stable because there is a pole at the origin. The plant system is BIBO stable because all of its poles are in the open left half- plane (LHP).

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Assume you have a (translational) mass-damper system in which a horizontal
force is applied to a mass sliding horizontally along a surface with some
friction that can be approximated by a damper. Both the mass m and damping
coefficient b are greater than zero, and the force and position are positive in
the same direction. No spring is present in the system.
If the system's input is the force f(t) and output is the velocity of the mass v(t),
which of the following statements is true?
O The plant system is not BIBO stable because it has a pole in the right half plane
(RHP).
O We cannot determine the stability of the plant unless we know if the input force is
bounded.
The plant system is not BIBO stable because there is a pole at the origin.
O The plant system is BIBO stable because all of its poles are in the open left half-
plane (LHP).
Transcribed Image Text:Assume you have a (translational) mass-damper system in which a horizontal force is applied to a mass sliding horizontally along a surface with some friction that can be approximated by a damper. Both the mass m and damping coefficient b are greater than zero, and the force and position are positive in the same direction. No spring is present in the system. If the system's input is the force f(t) and output is the velocity of the mass v(t), which of the following statements is true? O The plant system is not BIBO stable because it has a pole in the right half plane (RHP). O We cannot determine the stability of the plant unless we know if the input force is bounded. The plant system is not BIBO stable because there is a pole at the origin. O The plant system is BIBO stable because all of its poles are in the open left half- plane (LHP).
Expert Solution
Step 1

System is said to be stable , if all of the poles are are located left half of the s plane .

From given data , determins the transfer function,  then obtain the poles .

From the location of the poles , find whether system is stable or not .

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