Using the values below, calculate Jeq, Beq, and Aeq. You will need to calculate the total load moment of inertia Jl = Jl;ext + P Jgear;i, which includes contributions from any external connections and the four gears attached to the motor shaft. The external connection is a disc mounted to the load shaft and the four gears are one 24-tooth gear, two 72-tooth gears, and one 120-tooth gear. The associated radii rd, r24, r72, and r120 and masses md, m24, m72, and m120 are also below. Treat each gear as a uniform disc with constant radius.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.

Which of the following controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.