given by applied by the variable f. The variables k represent the mechanical stiffness, M the mass and damping coefficient. f 7ul M1 K2 M2 u2 B2 a. Using mobility analogy where the velocity as the "across" variable, determine th equivalent circuit for the system. b. Determine the equations of motion in the Laplace domain.

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).