Using KCL and the v-i relations for resistors and capacitors, show that the voltage v(t) in the following circuit satisfies the following ODE if R = 5Ω and C = 2F. Also find the capacitor voltage v(t) if is(t) = cos(t). Assume zero initial conditions. 2 dv/dt + 1/5 v(t) = is(t) for t > 0.

An air conditioning system consist of a 5 cm diameter pipe, operating at a pressure of 200 kpa. the air initially enters the pipe at 15°c with a velocity of 20 m/s and relative humidity of 80%. if the heat supply throughout the process is 960 w, determine the relative humidity and the temperature at the outlet

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?

Inspection for bearing condition will include: (clo4) a)-color b)-smell c)-size d)-none of the above