Question For the questions (Q11), (Q12) and (Q13) please refer to the following first order system: \[ G(s)=\frac{10}{s+4} \] (Q)1) Find the time constant of \( G(s) \). Find the rise time of the unit step response of \( G(s) \). Find the settling time and steady state value of the unit step response of \( G(s) \).

A circular bar AB with ends fixed against rotation has a hole extending for half of its length (see figure). The outer diameter of the bar is d2 = 76 mm, and the diameter of the hole is d1 = 61 mm. The total length of the bar is L = 1270 mm. (a) At what distance x from the left-hand end of the bar should a torque T0 be applied so that the reactive torques at the supports will be equal? (b) Based on the solution for x in part (a), what is max, and where does it occur? Assume that T0 = 10 kN m and G = 73 GPa.

Q4. The following chart was prepared at the beginning of a HRM (Human Resource Management) crash hiring project. The project begins with two activities: Assemble interview team (A) and Budget resources (B). The duration, in days, follows the letter of each activity. (a) What is the critical path? (b) Which activities should be monitored most closely? At the end of the first week, it was noted that activity A was completed in 2.5 days, but activity B required 4.5 days. (c) What impact does this have on the project? Are the same activities critical? C1 12 A4 D5 G3 End Start B3 E 4 H5 J1 F1

Suppose that: E1 ⎡⎣⎢⎢ -4 3 ⎤⎦⎥⎥ -1 -3 = ⎡⎣⎢⎢ -20 15 ⎤⎦⎥⎥ -1 -3 Find E1 and E−11 HW04: Problem 16 Prev Up Next (1 pt) a. Suppose that: 1-4 3 -2015 E1 -1-3 -1 -3 Find Eiland E 1 -4 E1 = ,E,' = b. Suppose that -43 1-1-3 E2 11 1-1-3 1-4 3 Find Eyl and E," 141 ER 141 EA E2= ,E,' = C. Suppose that: -43 -10-15 E3 -1-3 -1 -3 Find Ez] and E; d. Suppose that -2-55 -2 -5 5 E44-5-4 11 20-25-20 2 1 4 21-4 Find Eyl and E," E4= E = e. Suppose that |-2-55 -2-55 E5|||4-5-4 = 2 1-4 4-5-4 |2 1-4 Find Esland E: 1 Es = E51 f. Suppose that: |-2-55 -2 -55 E6|||4-5-4 = 4 -5 -4 -10-2926 12 1-4 Find Eg] and E." E6 = M E6

Find the coordinate vector of p relative to the basis S = {p1, p2, p3} for P2. (a)p=4−3x+x2 ; p1 =1 , p2 =x, p3 =x2 Find the coordinate vector of p relative to the basis S = {P1, P2, P3} for P2. (a) p= 4 – 3x + x2 ; p = 1, p2=x, p3 = x2

GENG8020 Assignment #4 Earned Value Analysis Your project team has been tasked with assembling 100 data acquisition systems in 8 days. The estimated cost of each unit is $10,000, for a total project cost of $1,000,000 The following table provides the schedule and cost estimates determined at the start of the project: Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Planned Day 8 10 12 15 18 15 15 10 5 number of built systems Estimated 100,000 120,000 150,000 180,000 150,000 150,000 100,000 cost for 50,000 the day (5) Estimated 100,000 220,000 370,000 550,000 700,000 850,000 950,000 cumulative 1,000,000 cost (5) What is the budgeted cost of work scheduled (BCWS)? $550,000 What is the budgeted cost of work performed (BCWP)? $500,000 What is the actual cost of work performed (ACWP)? $500,000 Calculate the schedule variance (SV). SV = 550,000 - 500,000 = $50,000 Calculate the cost variance (CV). CV = 500,000 - 500,000 = 0 Calculate the Schedule Performance Index (SPI). SPI = 550,000 / 500,000 = 1.1 Calculate the Cost Performance Index (CPI). CPI = 500,000/500,000 = 1

The number of students infected with the flu on a college campus after t days is modeled by the function 200 What is the maximum number of infected students possible The number of students infected with the flu on a college campus after days is modeled by the function P 1.19-23 OA 120 students Ostudents C 4 stores OD 240 students