A 64-pound object is suspended from a spring that has a natu…
A 64-pound object is suspended from a spring that has a natural length of 16 inches. When the weight is applied the spring has a total length of 22 inches. At the start, the object is lifted upward a total of 6 inches and given a downward velocity of 0.25 ft/sec. An external force, F(t) = 5sin(ωt), is applied and the system experiences resonance. The damping force is 20 when the velocity is 2 ft/sec. Compute the position equation. Over an extended period of time the objects position behaves like what position equation? Make no gaps in your mathematical logic. Gaps will result in a points deductions. Do not enter anything in the text box below.
Read DetailsA diesel locomotive holds 1500 liters of engine oil. The oi…
A diesel locomotive holds 1500 liters of engine oil. The oil specifications require 1 gram (1000 ppm) of zinc per liter of oil to protect the engine from excessive wear in the bearings and other internal parts. At the two-month service interval, a locomotive engine is determined to have 1500 liters of oil that contains 0.8 grams of zinc per liter of oil. Replacement oil with a concentration of 1.5 grams of zinc per liter is pumped into ther reservior at the rate of 10 liters per minute. Well-mixed oil is removed from the engine at the same rate. How many minutes should this process of replacing oil be allowed to continue to restore the oil to 1 gram of zinc per liter? NOTE: If the oil has an excess of zinc, it will damage the engine.
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