1. For a cantilever beam, the slop of the downward deflection y (m) with a load w (kg/m) can be computed as / =/24(43 − 12 2 + 12 2), where x = distance (m), E = the modulus of elasticity 1.0 ×10^11 Pa, I = moment of inertia 4.0×10^–4 m^4, w = 1.0×10^4 N/m, and L = length = 4.0 m. If y=0 at x=0, use Euler’s method (Δx=0.4 m) to compute the deflection from x=0 to L. List your results in a table and calculate the absolute error for each step (please express y in scientific notation).

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

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?

Manometers are good examples of measuring instruments, nowadays they are not as common as before. a)-capacitive probe gauges b)-gravitational gauges deformation ) gauges d)-digital gauges