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NASA is developing remote manipulators that can be used to extend the hand and the power of humankind through space by means of radio. A concept of a remote manipulator is shown in Figure P10.18 (a) [11, 22]. The closed-loop control is shown schematically in Figure P10.18 (b). Assuming an average distance of 238,855 miles from Earth to the Moon, the time delay T in transmission of a communication signal is 1.28 seconds. The operator uses a control stick to control remotely the manipulator placed on the Moon to assist in geological experiments, and the TV display to access the response of the manipulator. The time constant of the manipulator is second.
(a) Set the gain K1 so that the system has a phase margin of approximately 30°. Evaluate the percentage steady-state error for this system for a step input.
(b) To reduce the steady-state error for a position command input to 5%, add a lag compensation network in cascade with K1. Plot the step response.
Use the central limit theorem to find the probability that the average number of moths in 30 traps is greater than 0.6. Give your answer to four decimal places.
The width of a confidence interval is equal to twice the value of the margin of error. Explain your answer. What is the first step in hypothesis testing?
1000 tickets for prizes are sold for $2 each. Seven prizes will be awarded - one for $400, one for $200, and five for $50. Steven purchases one of the tickets.
Give the regression model for predicting a person's height from his or her weight. Interms of these variables, explain what the slope of this model represents here
in a random sample of 40 refrigerators the mean repair cost was 131.00 and the standard deviation was 19.70. a 90
When using the stochastic continuous-review model presented in Sec. 19.5, a difficult managerial judgment decision needs to be made on the level of service to provide to customers.
Complete the ANOVA summary table. If your instructor wants you to calculate the sums of squares,use the preceding data to do so.
The local municipality claims that since the percentage of intersections that had an accident last year decreased from the prior year, the city is now safer. What are the hypotheses for this situation? Is the city really safer?
suppose that the amount of time between consecutive surges in an electricity network has an exponential distribution
What is the minimum length of the bench if you want a 0.975 probability that it will fit the combined hip breadths of 18 randomly selected men?
The standard deviation equaled five days. Assuming that the distribution is normal, what percent of the invoices were paid within 15 days of receipt?
What is the power of such a study if a two-sided test is to be used with α = .05? How many people would need to be studied to have 80% power under the assumptions in problem A?
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