The solid homogeneous cylinder is released from rest on the ramp. Determine the magnitudes of the acceleration of the mass center G and the friction force exerted by the ramp on the cylinder. Assume r = 6.0 in., W = 8.2 lb, 0 = 38°, μs = 0.28, μk = 0.18. Answers: W AG= i F = Ак ft/sec² i lb
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- The K of a proportional controller is 30 and the reference value is 50% of the output. A valve is used at its outlet that, for the reference value, allows a flow of 2.0 m?/s. The valve changes its output in direct proportion to the controller output. What will be the controller output and deviation in error when the flow is to change to 2.5 m/s?a) A centrifugal pump has an impeller with dimensions r₁ = 75 mm, r2 = 150 mm, b₁ = 50mm, b2 = 30 mm, ẞ1 = ẞ2 = 30°. For a discharge of 70 L/s and shockless entry to vanes. compute (a) the speed, (b) the head, (c) the torque, and (d) the power. Neglect losses (α1 = 90°).A wheel tractor-scraper is carrying a 50,000 lb load while operating on a level grade. Assume no power derating is required for equipment condition, altitude, and temperature. What minimum value of coefficient of traction between the tractor wheels and the traveling surface is needed to overcome an equivalent rolling resistance of 12%? For the fully loaded condition 40% of the weight is distributed to the drive axle. Operating weight of the scraper when empty is 70,000 lb.6.4 (5 pts) A wheel tractor-scraper is carrying a 50,000 lb load while operating on a level grade. Assume no power derating is required for equipment condition, altitude, and temperature. What minimum value of coefficient of traction between the tractor wheels and the traveling surface is needed to overcome an equivalent rolling resistance of 12%? For the fully loaded condition 40% of the weight is distributed to the drive axle. Operating weight of the scraper when empty is 70,000 lb.
- A cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.A part at Belleh Fontem Manufacturing requiresholes of size .5 ± 0.0 I inches. The drill bit has a s tated size of.5 ± 0.005 inches and wears at the rate of .00017 inches perhole drilled. Give the most and least number of holes that can bedrilled with one drill bit before it has to be replaced.Could anyone explaine me this problem? The courier company guarantees pick up of packages within 11 minutes of the scheduled time. Therefore, there are two requirements: on time and up to 11 minutes late. The information for the examples taken is as follows: n = 4, X double bar = 13.00, R bar = 4.9. Assume normal distribution and process in control. Determine Capability index Cp.
- Meena Chavan Corp.’s computer chip production process yields DRAM chips with an average life of 1,800hours and s = 100 hours. The tolerance upper and lowerspecification limits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAM chips tospecification?FJ Corporation’s electronic chip production process yields with an average life of 1,800 hours and = 100 hours. The upper and lower specification limits are 2,400 hours and 1,600 hours respectively. Is this process capable of producing electronic chips to specification?9.19 In bottle production, bubbles that appear in the glass are considered defects. Any botle that has more than two bubbles is elassified as "nonconforming" and is sent to recycling Suppose that a particular production line produces bottles with bubbles at a rate of 1. bubbles per bottle. Bubbles occur independently of one another. a What is the probability that a randomly chosen bottle is nonconfornming? b Bottles are packed in cases of 12. An inspector chooses one bottle from each case and examines it for defects. If it is nonconforming, she inspects the entire case, re placing nonconforming bottles with good ones. This process is called rectification If the chosen bottle conforms (has two or fewer bubbles), then she passes the cuse. In total, 20 cases are produced. What is the probability that at least 18 of them pass! c What is the expected number of nonconforming bottles in the 20 cases after they have been inspected and rectified using the scheme described in part b?
- Suppose that a (pA = 0.1, ps = 0.2, A = 1 min)-BSSQ Q is operating in steady state. Calculate E[|Q(x)|*].You are a food specialist in a company that specializes inrefrigerated delicacies, and one of your brands requires beingmaintained at a temperature of 5°C. You determine averagewater activity (aw) at this temperature to be 0.2. One day, you are informed that the cooling systems onone of the delivery trucks carrying your company’s productsmalfunctioned while en route to its destination and it would notbe fixed until the next delivery. The driver has informed you thatthe temperature in the delivery bay of the truck is averaging55°C. You estimate a heat of sorption (Q) of 19 kJ/mol. Calculate the water activity of the brand at this elevatedtemperature and comment on it’s integrity. Should the deliverystill push through? Or should the products be recalled anddisposedMeena Chavan Corp.’s computer chip productionprocess yields DRAM chips with an average life of 1,800 hoursand s = 100 hours. The tolerance upper and lower specification limits are 2,400 hours and 1,600 hours, respectively. Is this pro-cess capable of producing DRAM chips to specification?