Structure_of_Red_Rose

Chapter 1 Multiple choice 1. 1. x = 1,      y = 1,      z = –1 2. 2. x = 4,   –4 3. x = –1,   6 4. [pic]= 50° 5. [pic]= 50° 6. AB = 5 7. h = 5 8. h = 7.07 9. h = 10 10. [pic]= 48.6°, [pic] = 91.4°, d = 9.33 True or false 1. T 2. T 3. T 4. T 5. T 6. T 7. F 8. T 9. F 10. T 11. F 12. T 13. T 14. F 15. T 16. T 17. T 18. F 19. T 20. T CHAPTER 2 MULTIPLE CHOICE 1. R = 12.49 kN, [pic]= 43.9° CW 2. Fx = -1.000 kN, Fy = -1.732 kN 3. Fx = -606 lb, Fy = 350 lb 4. F = 80.3 lb, [pic]= 46.2° 5. FAB = 215 lb, [pic]= 52.7° 6. F1 = 14.00 lb, F2 = 8.35 lb 7. R = 252 N, [pic]= 97.5° CCW 8. R = 300 N, [pic]= 36.9° 9. R = 29.7 N 10. R = 251 N, [pic]= 85.5° CCW 11. R = 80.3 lb, [pic]= 106.2° CCW 12. [pic]= [pic]= 70.5° 13. F1 = (2.50 i + 3.54 j + 2.50 k) kN, F2 = -2 j kN 14. F1 = (-200 i + 200 j + 283 k) lb 15. F2 = (367 i + 367 j - 300 k) lb 16. R = 6.20 kN 17. F2 = 246 N, [pic]= 54.9°, [pic]= 114.0°, [pic]= 44.7° 18. F = (43.3 i - 25.0 j + 28.9 k) lb 19. F1 = 429 lb, [pic]= 62.2°, [pic]= 110.0°, [pic]= 144.7° 20. r = 12 ft, [pic]= 70.5°, [pic]= 48.2°, [pic]= 131.8° 21. x = 7.68 m 22. F = (-2i +j+2k) kN, [pic]= 131.8°, [pic]= 70.5°, [pic]= 48.2° 23. R = (80i +320j-1440k) N 24. x = 24 ft, y = 18 ft, z = 16 ft 25. [pic]= 70.5° 26. raa = 5.42 m 27. F = -24 N 28. [pic]= 114.9° 29. F2y = 90.0 N TRUE OR FALSE 1. T 2. F 3. F 4. T 5. T CHAPTER 3 MULTIPLE CHOICE 1. T1 = 4.45 lb, F = 6.82 Lb 2. FAB = 98.1 N, [pic]= 15.0° 3. W = 18.33 lb 4. F = 39.2 N 5. m = 15.60 kg 6. Fab = 11.47 lb C, Fac = 25.0 lb T, Fad = 14.97 lb C 7. Fab = 858 N, Fac = 0, Fad = 858 N 8. F = 56.6 lb, R = 424 lb, P = 1000 lb 9. Fob = 86.2 lb, Foc = 175.0 lb, Fod = 506 lb 10. R = 409 N, F = 504 N, P = 1099 N CHAPTER 4 MULTIPLE CHOICE 1. Mp = 400 Nm [pic] 2. Mp = 600 Nm [pic] 3. Mp = 9.86 kNm [pic] 4. Mp = 1104 ft-lb [pic] 5. Mp = 5.66 kN-m [pic] 6. M1 = 1600 ft-lb [pic] 7. M2 = 600 ft-lb [pic] 8. M3 = 3000 ft-lb [pic] 9. [pic]= 36.9° 10. [pic]= 127.0° 11. MP = (40i+80k) N-m 12. MP = (-6i-6j-4k) N-m 13. MP = (400i-200j+1200k) N-m 14. MA = (-720i-360k) N-m 15. MA = (-229i+121j) lb-ft 16. Maa = 56.6 N-m 17. Maa = 6 kN-m 18. Mz = -15.9 N-m 19. M = 3120 lb-ft CCW 20. M = 1200 N-m CW 21. M = 21.9 kN-m CCW 22. F = 133 N 23. P = 800 N 24. Mx' = 26.0 kip-ft, My' = 15.47 kip-ft 25. M = (4000i-2000j+4000k) lb-ft 26. Mc = (37.5i-25j) N-m, Mc = 45.1 N-m 27. F = 15 kN @ [pic]= 36.9° [pic], Mp = 67.1 kN-m [pic] 28. F = (-6400i-4800j) lb, M = -400k kip-ft 29. F = (8.66i-15.00j) N, M = 42.0 N-m [pic] 30. F = (-0.0858i-1.184j) kN, M = 36.6 kN-m [pic] 31. F = (4i78j) lb, M = 100 lb-ft [pic] 32. F = (50i-20j-30k) N, M = (-50i+130j-170k) N-m 33. F = (60j-80k) lb, M = (20i+160j+120k) lb-ft 34. F = -120i lb, M = (-3000j+1800k) lb-ft 35. F = (32i-24k) lb, M = (-120i+96j-160k) lb-ft 36. R = (60i+18j-324k) N, M = (747i+18j-924k) N-m 37. R = 600 lb, d = 130.4 ft above O 38. x = 1.5 m, y = 4.5 m 39. R = 25k lb, y = -0.9 ft 40. Fc = 361 lb, [pic]= 56.3°, R = 861 lb 41. R = 90 kN, M = 338 kN-m CW 42. R = 1250 N, x = 8 m 43. F = (72i + 125j)N, M = 102.1 N-m CCW 44. w = 175.0 N/m, d = 1.5 m CHAPTER 5 MULTIPLE CHOICE 1. Bx = -15.89 N, By = 120.7 N 2. Ax = 154.0 lb, Ay = 333 lb, NB = 308 lb 3. Ax = 343 kip, Ay = -172.5 kip, FCD = 447 kip 4. m = 3.26 Mg 5. x = 0.340 m 6. x = 1.180 m 7. xA = 53.2 mm, xB = 50.5 mm, FB = 3.68 Kn 8. x = 1.44 ft, w = 10.8 lb, F = 12.61 lb 9. Ax = 0, Ay = 0, Az = 200 N, Bz = 200 N, FDC = 300 N 10. Ax = 1.5 kN, Ay = -1.0 kN, Az = 1.25 kN, Bx = -3.5 kN, Bz = 0.75 kN, FDC = 2.0 kN 11. NA = 128.8 N, NB = NC = 68.0 N 12. Ax = -1.867 kN, Ay = 1.867 kN, Az = 0.800 kN, Cy = -1.867 kN, Cz = 0.600 kN, Dx = 1.867 kN 13. Ax = 0, Ay = 150 lb, Az = 562 lb, TBC = 300 lb, TBD = 212 lb CHAPTER 6 MULTIPLE CHOICE 1. AB = CD = 4.62 kN C, AE = DE = 2.31 kN T, BE = CE = 4.62 kN T, BC = 2.31 kN C 2. CB = 894 N C, CD = 800 N T, DB = 800 N C, DE = 800 N T, BE = 894 N T, BA = 1789 N C, AE = 800 N T 3. CB = 720 lb T, CD = 780 lb C, DB = 0, DE = 780 lb C 4. CL = 50 kN C, ML = 112.5 kN C, CD = 112.5 kN T 5. ED = 0.400 kN C, DF = 2.26 kN T, CE = 4.53 kN C 6. CM = 833 lb T, CB = 3330 lb C, LM = 2670 lb T 7. KG = 1.886 kN C, KJ = 4.00 kN C, FG = 5.96 kN T 8. BF = 693 lb T, FG = 1800 lb C, BC = 1212 lb T 9. CD = 2.23 kN C, CF = 0, GF = 1.783 kN T 10. P = 40 N, x = 240 mm 11. Ax = -300 N, Ay = 300 N, Cx = 300 N, Cy = 300 N 12. Ax = -46.7 lb, Ay = 45.0 lb 13. B = 56.3 lb, D = 125.8 lb 14. T = 1248 lb 15. FB = 1.939 kN C, BD = 2.60 kN T 16. DE = 1.067 kN C 17. FC = 8.75 kN, FB = 5.43 Kn CHAPTER 7 MULTIPLE CHOICE 1. AA = 10 lb T, AB = 0 2. AE = 785 N C, VE = 0, ME = 785 N-m 3. VD = 333 N, AE = 333 N, VE = 250 N, ME = 267 N-m 4. AE = 11.11 kip C, VE = 6.67 kip, ME = 66.7 kip-in. 5. AF = 0, VF = 750 lb, MF = 750 lb-ft CHAPTER 8 MULTIPLE CHOICE 1. F = 204 N 2. x = 1.005 m 3. P = 75 lb Tips 4. P = 264 N 5. F = 1.051 Kn CHAPTER 9 MULTIPLE CHOICE 1. [pic]= 3a/8, [pic]= 2b/5 2. [pic]= -3a/4, [pic]= -3b/10 3. [pic]= 0.800 m, [pic]= 2.00 m 4. [pic]= 2.67 ft 5. [pic]= 3.33 ft 6. [pic]= 2.43 m, [pic]= 1.308 m 7. [pic]= 85.9 mm 8. [pic]= 91.7 mm 9. [pic]= 6.42 in. 10. [pic]= 10.00 in., V = 1340 in.3 11. V = 1.083 m3 12. 26.4 liters of paint, V = 56.5 m3 CHAPTER 10 MULTIPLE CHOICE 1. IBB = 17.00(106 ) mm4 2. Ix = 11,430 in.4 3. ky = 17.89 mm 4. Ix = 914(106) mm4, I[pic] = 146.3(106) mm4 5. [pic]= 48.3 mm, I[pic] = 15.08(106) mm4 6. Ix = 503 in.4, Iy = 503 in.4 7. k = 7.74 in. CHAPTER 11 CHAPTER 12 MULTIPLE CHOICE 1. t = 8 s, s = 320 ft 2. s = 9 m, a = 2 m/s2 3. h = 19.02 ft, tAB = 1.087 s, tAC = 3.30 s 4. [pic]s = 834 mm, v = 1122 mm/s, a = 450 mm/s2 5. vavg = 45.2 ft/s, aavg = 13.91 ft/s2 6. s = 450 m, a45 = -0.333 m/s2 7. t = 11.25 s 8. v = 395 m/s, s = 3.69 km 9. s = 2.80 km, a = 0 10. a100 = 11.11 m/s2, a175 = -25.0 m/s2 11. x = 2.00 km, y = 1.92 km, v = 175.0 m/s, a = 7.62 m/s2 12. v = 16.49 km/s, a = 64.0 km/s2 13. vA = 16.83 m/s 14. vA = 49.8 ft/s, [pic]= 76.0E, h = 39.7 ft 15. R = 66.3 ft 16. 17. a = 1.037 m/s2 18. a = 12.00 m/s2 19. v = 51.1 ft/s2, a = 10.31 ft/s2 20. [pic]2 = 8510 ft 21. [pic]A = 8510 ft 22. a = 76.8 ft/s2 23. v = 120.0 ft/s 24. v = 7.83 m/s, a = 2.27 m/s2 25. v = 1.500 sec2 [pic]m/s, a = 9.00 sec2 [pic]tan [pic]m/s2 26. 27. vB = 1.000 m/s [pic] 28. VP = 15.00 m/s 29. vB = 0.594 m/s 30. vF/T = 5.00 m/s 31. vA/B = 60.8 mi/h, aA/B = 1426 mi/h2 32. vA/B = (-25.0i-18.00j) m/s, aA/B = (-0.920i+1.500j) m/s2 33. VP/H = 18 ft/s 34. vF/B = 212 m/s TRUE OR FALSE 1. T 2. T 3. T 4. F 5. T 6. T 7. T 8. T 9. F 10. T 11. T 12. T 13. F 14. T 15. T 16. T 17. T CHAPTER 13 MULTIPLE CHOICE 1. a = 0.0278 m/s2 2. a = 0.1900 m/s2 [pic] 3. T = 1.200 kN, s = 16.67 m 4. v = 15.23 ft/s 5. v = 30.0 m/s 6. aA = 4.28 ft/s2 Down the slope 7. Ax = -35.6 lb, Ay = 236 lb, MA 8. v = 11.35 ft/s 9. at = 9.36 m/s2, N = 310 N 10. T0 = 0, T45 = 10.61 lb 11. NA = 38.6 N, NB = 96.6 N 12. Fr = -240 N, F2 = 66.0 N, Fz = -3.29 N 13. F = 11.33 N 14. P = 1.677 lb, N = 4.77 lb 15. FOA = 0.873 lb, Fcurve = 1.953 lb 16. F = 26.7 lb CHAPTER 14 MULTIPLE CHOICE 1. Favg = 347 Kn 2. F = 44.1 kN, x = 38.2 mm 3. s = 2.77 m 4. vB = 35.0 ft/s, x = 41.2 ft 5. xB = 1.137 ft 6. vB = 17.97 m/s, NB = 12.54 kN 7. e = 0.245 (24.5%) 8. 2 = 8.86E 9. P = 22.2 kW 10. P = 946 kW 11. vB = 25.4 ft/s 12. v = 3.30 m/s 13. vA = 106.2 ft/s 14. vB = 114.5 ft/s, NB = 29.1 lb 15. vC = 17.68 ft/s CHAPTER 15 MULTIPLE CHOICE 1. Imp = 5.68 N-s 2. Impx = 6.93 N-s, Impy = 4.00 N-s 3. vA = 21.5 ft/s 8, VB = 21.5 ft/s 9 4. Imp = 162.2 N-s 5. v2 = 91.4 ft/s 7 6. vcrate = 23.2 m/s 7. vrifle = 0.840 m/s 8. vwagon = 0.203 m/s 9. vwagon = 20.7 ft/s Imp = 38.6 lb-s 10. vwagon = 4.25 ft/s Nwheel = 120.5 lb 11. vA = 0.933 m/s vB = 0.498 m/s 12. vman = 0.1776 m/s, Navg = 771 N 13. vH2 = 5.96 ft/s, vP2 = 14.30 ft/s, x = 3.52 ft 14. vC = 22.4 m/s, s = 9.52 m 15. vA2 = 0.600 m/s, vB2 = 3.40 m/s, x = 0.304 m 16. vA2 = 1.772 ft/s, vB2 = 2.88 ft/s 17. H0 = 6.76(106) kg- m2/s CW 18. vbasket = 33.5 ft/s 19. v2 = 12.67 m/s 20. vB = 21.9 m/s, [pic]= 20.9° CHAPTER 16 MULTIPLE CHOICE 1. t = 62.5 s 2. vP = 18.81 ft/s 3. vAmax = 0.300 m/s, aD = 0.288 m/s2 4. [pic]Bmax = 8.49 rad/s, vCmax = 0.600 m/s 5. vP = 83.1 in./s, aP = 1011 in./s2 6. vCD = 6 sin[pic] ft/s, aCD = 24 cos2 ft/s2 7. vCD = 10 csc2[pic] 8. [pic]= v/(2r) 9. vS = 1.500 cot[pic] ft/s 10. [pic]AB = 3.46 rad/s [pic], vB = 3.46 m/s 9 11. vB = 214 ft/s 12. TAB = 2.00 rad/s [pic] 13. [pic]AB = 4.00 rad/s TBC = 1.200 rad/s 14. vA = 8.00 in./s 15. [pic]F = 16.00 rad/s 16. [pic]= 48 rad/s, vmax = 120.0 ft/s 17. vA = 10.77 in./s, vB = 14.00 in./s 18. vA = (r2-r1)[pic] [pic] 19. vH = 18.00 ft/s 20. [pic]BC = 27.8 rad/s2 [pic] 21. [pic]= 53.3 rad/s2 22. aA = (1.200i - 0.600j) m/s2, aB = 1.650i m/s2, "AB = 1.500 rad/s2 [pic] 23. aA = 0.245 ft/s2 6, "AB = 0.816 rad/s2 [pic] 24. [pic]bucket = 0.312 rad/s, [pic]bucket = 1.540 rad/s2 CHAPTER 17 MULTIPLE CHOICE 1. t = 17.49 s 2. Ay = 9.38 lb 8, Vx = 1.076 lb 7, MA = 1.076 lb-ft [pic] 3. a = 16.35 m/s2 4. [pic]= 1.016 rad/s2 5. [pic]= 9.67 rad/s2 6. Ax = 14.40 kN, Ay = 21.7 Kn 7. [pic]= 16.1 rad/s2, Ax = 17.47 lb, Ay = 3.75 lb 8. [pic]= 4.78 rad/s 9. Ax = 11.25 lb, Ay = 18.75 lb 10. t = 3.11 s, FBC = 193.1 N 11. [pic]= 0.400 12. [pic]= 11.05 rad/s2 13. aG = 0.1500 m/s2, [pic]= 0.225 rad/s2, T = 1.962 kN 14. [pic]= 1.143 rad/s2, F = 19.16 lb 15. TCB = 636 N CHAPTER 18 MULTIPLE CHOICE 1. vB = 69.5 ft/s 2. v = 26.7 ft/s 3. [pic]= 17.41 rad/s 4. [pic]= 0.836 rad/s 5. vA = 6.95 ft/s 6. [pic]= 18.13 rad/s 7. [pic]AB = 3.70 rad/s 8. vE = 6.36 ft/s 9. [pic]= 41.8 rad/s 10. O = 91.1 N CHAPTER 19 MULTIPLE CHOICE 1. [pic]= 11.45 rad/s 2. [pic]= 245 rad/s 3. [pic]B = 1520 rad/s 4. M = 0.0622 lb-ft 5. t = 5.08 s 6. [pic]= 115.9 rad/s 7. t = 1.529 s, A = 49.1 N 8. [pic]= 0.1754 rad/s 9. [pic]2 = 2.50 rad/s 10. [pic]3 = 1.528 rad/s 11. vB4 = 20.3 ft/s