The mechanical properties of aluminum may be improved by incorporating fine particles of aluminum oxide (al2o3). given that the moduli of elasticity of these materials are, respectively, 69 gpa (10 × 106 psi) and 393 gpa (57 × 106 psi), plot modulus of elasticity versus the volume percent of al2o3 in al from 0 to 100 vol%, using both upper- and lower-bound expressions.

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

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

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.