Application 1: Consider the following beam under combined loading of a distributed pressure and applied bending moment. Complete the problem as was discussed in class by finding the values of the integration constants C1, … Cn, and then obtain the expression for the displacement curve v(x). What is the maximum displacement vmax? At what location (along x) does it occur?

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 controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.

Vibration monitoring this technique uses the noise or vibration created by mechanical equipment and in seme cases by plant systems to detemine their actual condtion. a)- true b)- false