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.

Signals and systems course. Please solve and send asap.

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Differential equation for a simple wheelchair with a suspension system (bumper) can be written as: d2x/dt2 +B/m*dx/dt+Ks/m*x=1*??/m. Fe is the gravitational force exerted by the sitting person, 800 N; “m” is mass of the wheelchair, 25 kg; “Ks” is the stiffness (inverse of compliance) of the spring, 2500 N/m; the damping coefficient of the dashpot “B” is 500 N/(m/s). How much is the damping coefficient ? of the system?

The root locus plot of a system intersecting the constant damping ratio line is shown in below figure. Determine the minimum value of damping ratio. Also show that for the minimum value of damping ratio the length from origin to point P is 1. jo Pole of order-21 K=0 E-line K=0 E: Damping ratio

control systems

Since the current is I = switch The figure above shows a circuit containing an electromotive force (a battery), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives W dQ dt ' . R we have RI+ Find the charge and the current at time t. Q(t) = I(t) = dQ dt R- Q с = : E(t). Suppose the resistance is 20 , the capacitance is 0.2F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0) = 0C + + Q = E(t).

7.Differential equation for a simple wheelchair with a suspension system (bumper) can be written as: ?2???2+??????+????=1???. Fe is the gravitational force exerted by the sitting person, 800 N; “m” is mass of the wheelchair, 25 kg; “Ks” is the stiffness (inverse of compliance) of the spring, 2500 N/m; the damping coefficient of the dashpot “B” is 500N/(m/s). How much is the damping coefficient ?of the system? The original of the problem is attached.

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).