Aservomechanism position control has the plant transfer function g(s) = 10 s(s + 1)(s + 10). you are to design a compensation transfer function d(s) in a unit feedback configuration to meet the following closed-loop specifications: • the response to a reference unit step input should have 16% overshoot (or less) and 0.4 sec rise time (or less). • the steady-state error to a reference unit ramp input must be less than 0.05. (a) design a lead compensator that will cause the system to meet the dynamic response specifications, ignoring the error requirement.

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?

Ariver flows from north to south at 8 km/h. a boat is to cross this river from west to east at a speed of 20 km/h (speed of the boat with respect to the earth/ground). at what angle (in degrees) must the boat be pointed upstream such that it will proceed directly across the river (hint: find the speed of the boat with respect to water/river)? a 288 b. 21.8 c. 326 d. 30.2

The higher the astm grain size number, the finer the gran is. a)-true b)-false