A house is cooled by a heat pump driven by an electric motor using the inside as the low-temperature reservoir. The house gains energy in direct proportion to the temperature difference as Ogain = K(TH – T). Determine the minimum electric power to drive the heat pump as a function of the two temperatures.

Jeff was just hired by GSI, Inc. to be their Environmental and Safety Coordinator.  This is Jeff's first position after completing his engineering degree.  He had taken a course in safety engineering as part of his studies and felt confident that he could handle the job. Management at GSI, Inc. has assured him that they are committed to maintaining a safe workplace.  They have never had an individual dedicated to this task full-time.  They will implement his recommendations if he can justify them. As Jeff begins to get familiar with the operations, he spends considerable time on the production floor.  He notices workers clean their tools before break with a liquid from an unmarked 55-gallon drum.  They also use this liquid to clean residue from their skin.  They use paper towels to dry their tools and hands, throw these towels in the trash, and head to the break room for a snack and/or smoke. In talking with the workers, Jeff learns of some of their concerns.  Several people mention…

Table 1: Mechanical behavior of human cadaver tibial bones during pure torsional loads applied with the proximal tibia fixed and the torque applied to the distal tibia until there is bone fracture. Medial condyle Tibial tuberosity- Medial malleolus -Lateral condyle Head of fibula Ti-6Al-4V grade 5 Stainless Steel 316L Region of bone resection -Lateral malleolus L = 365 mm Annealed Annealed Torque at ultimate failure (bone fracture) Displacement (twist angle) at ultimate failure Torsional Stiffness Table 2: Mechanical properties of candidate materials for the rod. Material Process Yield Strength (MPa) 880 220-270 Do = 23 mm Elastic Modulus (GPa) 115 190 d₁ = 14 mm Figure 1: Representative tibia bone showing the resection region (blue arrows) and median length (L). A circular cross section of distal tibia taken at the level of resection) showing the median inner (di) and outer (Do) diameters of the cortical bone. A tibia bone after resection with the proposed metal solid rod (black line)…

Part 2 Set up a spreadsheet solution to this problem. This will require that you derive one formula to express the relationship between the friction coefficient, the spring constant, and the spring compression; and a second formula to find the cost of using different slide and spring types. Set up your spreadsheet as shown below. You can fill in the "Acceptable?" column manually, rather than using a formula. Turn in a copy of your spreadsheet/Matlab work (solve for $) Friction Spring Constant Spring Compression M k 0.1 0.1 0.1 0.2 0.2 0.2 50 100 150 50 100 150 4 Part 3 Your boss has decided to look at a second option. The spring mechanism will be replaced by a drop box. After leaving the slide, the blocks will travel 5 horizontal feet through the air and pass through a hole into the drop box. Using the slide you selected above, determine how far below the slide (h) to place the hole in the drop box. Yo = 5.2017/5 BLADE 2 RAMPE SLIDE 8⁰ SLIDE Acceptable? (Yes or No) $' Cost 51 In DROP…