Determine (a) the principal stresses, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. INSTRUCTIONS: For full credit (10 points), must use Mohr's circle and submit the pdf of your work. Also, in the space provided below enter the value of the maximum in-plane shear stress (in ksi) using three significant diaits (5 points).

What is the major drawback of the Merit index? Select one: O a. The merit index can consider only one criterion at a time O b. It is useful only for forming a subjective value of a material O c. The algebra is too hard to be performed successfully O d. There are no drawbacks to the Merit index 2

Question 11) Roger gave the following account of a roller-coaster ride: 1 tried a brand-new ride at a science centre. There's a computer screen that tells you how much the car and the people in it weigh and how high and fast you travel. You get into the car and they strap you in. The car weighs 600 kg. At the top, it moves horizontally at a speed of 1 m/s. Then you drop 30 m, make a loop into the air and finish by riding over an 8-m hill. I don't remember our maximum speed or our speed at the top of the loop, but the ride was fantastic!" Answer the following questions without taking the force of friction into consideration. Show your calculations for each question. A v=1 m/s 20 m 8 m a) What is the highest speed Roger could have attained? What is the potential energy of the roller-coaster car when it is at the top of the b) loop? c) What is the kinetic energy of the car as it passes over the top of the 8 m hill? d) What is the total mechanical energy of the system?

Question 2 You are a biomedical engineer working for a small orthopaedic firm that fabricates rectangular shaped fracture fixation plates from titanium alloy (model = "Ti Fix-It") materials. A recent clinical report documents some problems with the plates implanted into fractured limbs. Specifically, some plates have become permanently bent while patients are in rehab and doing partial weight bearing activities. Your boss asks you to review the technical report that was generated by the previous test engineer (whose job you now have!) and used to verify the design. The brief report states the following... "Ti Fix-It plates were manufactured from Ti-6Al-4V (grade 5) and machined into solid 150 mm long beams with a 4 mm thick and 15 mm wide cross section. Each Ti Fix-It plate was loaded in equilibrium in a 4-point bending test (set-up configuration is provided in drawing below), with an applied load of 1000N. The maximum stress in this set-up was less than the yield stress for the…