An engineer designing a vibration isolation system for an instrument console models the consoleand isolation system as a 1 degree-of-freedom spring-mass-damper system. The modeled mass is 2kg, the spring constant is 8 N/m, and the damping constant is 1 Ns/m. The system is exposed to atime-varying force acting on the mass. This force measured is approximated by:F(t) = 20 sin(4t) [N]. Determine the steady-state response of the system to this input.

Air is to be cooled in the evaporator section of a refrigerator by passing it over a bank of 0.8-cm-outer-diameter and 0.4-m-long tubes inside which the refrigerant is evaporating at -20°c. air approaches the tube bank in the normal direction at 0°c and 1 atm with a mean velocity of 4 m/s. the tubes are arranged in-line with longitudinal and transverse pitches of sl- st 1.5 cm. there are 30 rows in the flow direction with 15 tubes in each row. determine (a) the refrigeration capacity of this system and (b) pressure drop across the tube bank. evaluate the air properties at an assumed mean temperature of -5°c and 1 atm. is this a good assumption?

Which of the following components of a pid controlled accumulates the error over time and responds to system error after the error has been accumulated? a)- proportional b)- derivative c)- integral d)- on/off.

Calculate the bore of a cylinder that has a stroke of 18 inches and an extension time of 6 seconds at a flow rate of 4 gal/min.