1. A tiltrotor aircraft shown in Figure 1-a is both an airplane and a helicopter. It can position its engine in a vertical position for takeoff and landing as a helicopter, and then rotate its engine 90 degrees to a horizontal configuration for cursing as an airplane. The altitude control system of the helicopter mode is shown in Figure 1-b. • Determine the root locus of this system as K varies between zero (0) and infinity (infinity). • Determine the range of K for a stable system • For K = 280, find the response y(t) to a unit step input r(t), and the corresponding Percentage overshoot (PO) and the settling time (T_s, with 2% criterion) • For K = 280, and r(t) = 0, find the response y(t) to a unit step disturbance 2. An arm of a space robot is shown in Figure 2-1 with its corresponding block diagram shown in Figure2-b. Perform the following tasks: • For a proportional controller Gc=Kp, determine the value of Kp such that the percentage overshoot P.O.-3%. • Plot the system response to a unit step input for the value of Kp determined in the previous task • Design a proportional -derivative controller (PD) using ITAE method with wn = 8 • Determine the required prefilter Gp(S). • Determine the system response to a step input after you add the PD and prefilter to the system. • Design a proportional-integral controller (PI) and a prefdilter using ITAE method. • Determine the system response to a step input after you add the Pi and prefilter to the system. • Design a proportional-integral-derivative controller (PID) and a prefilter using ITAE method such that the settling time T, <4 sec based on a 2% criterion. • What is your recommendation for the most appropriate controller among P, PD, PI, and PID for this system? TAs Controller Arm R- Gas) GO sEs+9 Fig 2-6 F’3 2-a Document Preview:

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#1 A rise in the expected future exchange rate shifts the demand for domestic assets to the ____and causes the domestic currency to____. A) left; depreciate B) right; appreciate C) left; appreciate D) right; depreciate #2 A rise in the expected import demand shifts the demand for domestic assets to the ___ and causes the domestic currency to ___. A) left; appreciate B) right; depreciate C) right; appreciate D) left; depreciate

 

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1. A payment schedule requires 20 payments of $10,000, the first payment to be made 15 years from today. Assuming a discount rate of 10%, what is the present value of this series of payments? (2 marks)

2. Assume the payment schedule in problem 1 changes as follows:

. the payment 17 years from today is waived, and

. a payment of $20,000 is made 18 years from today.

Assuming a discount rate of 10%, what is the present value of this series of payments? (2 marks)

3. Your friend is celebrating his 35th birthday today and wants to start saving for his anticipated retirement at age 65. He wants to be able to withdraw $10,000 from his savings account on each birthday for 10 years following his retirement; the first withdrawal will be on his 66th birthday. Your friend intends to invest his money in the local savings bank, which offers 8 per cent interest per year. He wants to make equal, annual payments on each birthday in a new savings account he will establish for his retirement fund. If he starts making these deposits on his 36th birthday and continues to make deposits until he is 65 (the last deposit will be on his 65th birthday), what amount must he deposit annually to be able to make the desired withdrawals on retirement? (3 marks)

4. Calculate an equivalent annual income for 20 years on the following income stream received over 30 years if the interest rate is 10% per annum compounded annually:

Years 1-15 $15,000pa

Years 16-20 $20,000pa

Years 21-30 $30,000pa (3 marks)

 

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1. A researcher suspected that the number of between meals snacks eaten by students in a day during final examinations might depend on the number of tests a students had to take on that day. The accompanying table shows joint probabilities, estimated from a survey

Number of tests (X)

Number of snacks(Y)

0

1

2

3

0

0.07

0.09

0.06

0.01

1

0.07

0.06

0.07

0.01

2

0.06

0.07

0.14

0.03

3

0.02

0.04

0.16

0.04

a. Find the probability distribution of X and compute the mean number of test taken by students on that day

b. Find the probability distribution of Y and compute the mean number of snacks by students on that day

c. Find and interpret the conditional probability distribution of Y given that X=3.

d. Find the covariance between X and Y

e. Are number of snacks and number of tests independent?

 

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1.Are there other electronic devices that are not connected to the local network to share information or resources? What would be the benefit of having these devices onlin1. Arethereotherelectronicdevicesthatarenotconnectedtothelocalnetworktoshareinformationorresources?Whatwouldbethebenefitofhavingthesedevicesonline?

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2. Whichtypeofconnectivityisusedmostfrequentlyinyourlocalnetwork,wiredorwireless?

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