Determine the range of mass m for 2 which the system is in equilibrium. The coefficient of static friction between the block and the incline is u = 0.18. S Neglect friction associated with the pulley. Answers: (i Determine the range of mass m2 for which the system is in equilibrium. The coefficient of static friction between the block and the incline is μs = 0.18. Neglect friction associated with the pulley. m1 H₂- 19 m2 Answers: (i !m₁) sm₂si 0.156 m₁)
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.1m radius disk is moving on the inclined surface under no slip condition. the center of the disk has 3m/s velocity and according to the figure, bar BC is pinned to the disk at point C and point B always stays on the ground. 1) find angular velocity of BC. 2) find angular acceleration of BCT = -25°C A 0.5 m × 1 m double paned window is made of two silica glass panes 1 cm thick, with air in between. Under steady conditions, linear (constant gradient) Outdoors temperature profiles are found in both silica panes, as well as the air. If the room (and the inner surface of h=18Wm²K the inner glass pane) is at a temperature of 25°C, while outdoors it is -25°C with a convection coefficient of 18 W m² K-1, what is the rate of heat loss through the window? What is the rate of heat loss if the room temperature is decreased to 20°C? Finally, what is the rate of heat loss for a room temperature of 25°C, but with one of the panes (and the air) removed? 1 cm 1 cm Room Temperature, 25° C or 20º C 0.5 mm Air, k=0.024 W m¹ K¹ Silica glass, k = 0.90 W m³ K
- The following data was recorded while observing the increase in the number of butterflies in two different ponds, Pond A and Pond B. Number of Butterflies Present Over 5 Years Year Pond A Pond B 0 50 65 85 1 2 3 4 5 100 O 110 121 133 146 161 110 143 186 What is the rate of growth, r, for each pond and which pond has the fastest average rate of growth over the five years? TA = 1.1, TB = 1.3, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg=27.2 butterflies/yr TA = 1.1, TB = 1.3, mg=27.2 butterflies/yrQuestion 2: Consider again that the company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. What is the probability that a tire will either be too wide or too narrow?Problem 6-2 (Algo) Rachel loves to bake cookies, but she has an old oven that has trouble maintaining a constant temperature. If the acceptable temperature range for making the cookies is 350 plus or minus 10 degrees, what is the allowable standard deviation in the temperature of her oven in order to achieve a Six Sigma level of quality? Note: Round your answer to 3 decimal places. Standard deviation degrees
- To measure the temperature of a ceramic oven at the college of Arts in PTUK a a thermocouple measurement device is used. The thermocouple has a seebeck coefficient of 60uV/C and has an output voltage of 60mV. When the reference point is 21-C the temperature of the measuring junction is Select one a. none b. 979 C c. 929C d.992C e.927 C.Your cafeteria is serving chicken noodle soup today, which it sources from adistributor and then warms up locally in the kitchen. The soup now sits in a large bowl anda server uses a large ladle to fill the soup into the smaller bowls handed out to the students.Consider the following variables:• Outside temperature.• Duration that the soup was heated before being put in the bowl.• Temperature of the soup in a student’s bowl.• Temperature level to which the soup is warmed up.• Insulation of the bowl used for storing the soup.• Duration that the soup bowl is open when the server inserts the ladle to serve a student.Which of these variables are (a) input variables, (b) output variables, and (c) environmentalvariables?42. A large national producer of appliances has traced customer experience with a popular toaster oven. A survey of 5,000 customers who purchased the oven early in 2000 has revealed the following: nd ity Number of Year Breakdowns 2000 188 2001 58 2002 63 2003 72 2004 54 2005 71 a. Using these data, estimate på = the probability that a toaster oven fails in its kth year of operation, for k = 1, . . . , 6. b. What is the likelihood that a toaster oven will last at least six years without failure based on these data? c. The discrete failure rate function has the form r; = Pr/Rp–1, where Rỵ is the prob- ability that a unit survives through period k. Determine the failure rate function for the first five years of operation from the given data. d. Suppose that you purchased a toaster oven at the beginning of 2004 and it is still operating at the end of 2007. If the reliability has not changed appreciably from 2000 to 2007, use the results of part (c) to obtain the probability that it will…