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### Soln02004

Course: MAE 271, Spring 2009
School: University of Alabama -...
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Complete COSMOS: Online Solutions Manual Organization System Chapter 2, Solution 4. (a) Parallelogram law: We measure: R = 5.4 kN = 12 R = 5.4 kN 12 ! (b) Triangle rule: We measure: R = 5.4 kN = 12 R = 5.4 kN 12 Mechanics ! Vector for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell 2007 The...

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Complete COSMOS: Online Solutions Manual Organization System Chapter 2, Solution 4. (a) Parallelogram law: We measure: R = 5.4 kN = 12 R = 5.4 kN 12 ! (b) Triangle rule: We measure: R = 5.4 kN = 12 R = 5.4 kN 12 Mechanics ! Vector for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell 2007 The McGraw-Hill Companies.
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University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 5.Using the triangle rule and the Law of Sines (a)sin sin 45 = 150 N 200 N sin = 0.53033 = 32.028 + + 45 = 180 = 103.0 !(b) Using the Law of SinesFbb 200 N = sin sin 45
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 6.Using the triangle rule and the Law of Sines (a)sin sin 45 = 120 N 200 N sin = 0.42426 = 25.104or = 25.1 !(b) + 45 + 25.104 = 180 = 109.896Using the Law of SinesFa
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 7.Using the triangle rule and the Law of Cosines, Have: = 180 - 45 = 135Then:R 2 = ( 900 ) + ( 600 ) - 2 ( 900 )( 600 ) cos 1352 2or R = 1390.57 NUsing the Law of Sine
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 8.By trigonometry: Law of SinesF2 R 30 = = sin sin 38 sin = 90 - 28 = 62, = 180 - 62 - 38 = 80Then:F2 R 30 lb = = sin 62 sin 38 sin 80or (a) F2 = 26.9 lb ! (b) R = 18.
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 9.Using the Law of SinesF1 R 20 lb = = sin sin 38 sin = 90 - 10 = 80, = 180 - 80 - 38 = 62Then:F1 R 20 lb = = sin 80 sin 38 sin 62or (a) F1 = 22.3 lb ! (b) R = 13.95 l
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 10.Using the Law of Sines:60 N 80 N = sin sin10 or = 7.4832 = 180 - (10 + 7.4832 )= 162.517Then:R 80 N = sin162.517 sin10 or R = 138.405 N(a) (b) = 7.48 !R = 138.4 N
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 11.Using the triangle rule and the Law of Sines Have: = 180 - ( 35 + 25 )= 120Then:P R 80 lb = = sin 35 sin120 sin 25or (a) P = 108.6 lb ! (b) R = 163.9 lb !Vector Mec
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 12.Using the triangle rule and the Law of Sines (a) Have:80 lb 70 lb = sin sin 35 sin = 0.65552 = 40.959or = 41.0 !(b) = 180 - ( 35 + 40.959 )= 104.041Then:R 70 lb =
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 13.We observe that force P is minimum when = 90. Then: (a) And: (b)R = ( 80 lb ) cos 35 or R = 65.5 lb ! P = ( 80 lb ) sin 35 or P = 45.9 lb!Vector Mechanics for Engineer
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 14.For TBC to be a minimum, R and TBC must be perpendicular. Thus AndTBC = ( 70 N ) sin 4 = 4.8829 N R = ( 70 N ) cos 4 = 69.829 N(a) (b)TBC = 4.88 N6.00 !R = 69.8 N !
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 15.Using the force triangle and the Laws of Cosines and Sines We have: = 180 - (15 + 30 )= 135Then:R 2 = (15 lb ) + ( 25 lb ) - 2 (15 lb )( 25 lb ) cos1352 2= 1380.33
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 16.Using the Law of Cosines and the Law of Sines,R 2 = ( 45 lb ) + (15 lb ) - 2 ( 45 lb )(15 lb ) cos1352 2or R = 56.609 lb56.609 lb 15 lb = sin135 sinor = 10.7991R =
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 17. = 180 - 25 - 50 = 105Using the Law of Cosines:R 2 = ( 5 kN ) + ( 8 kN ) - 2 ( 5 kN )( 8 kN ) cos1052 2or R = 10.4740 kNUsing the Law of Sines:10.4740 kN 8 kN = sin
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 19.Using the force triangle and the Laws of Cosines and Sines We have: Then: = 180 - ( 45 + 25 ) = 110R 2 = ( 30 kN ) + ( 20 kN ) - 2 ( 30 kN )( 20 kN ) cos1102 2= 1710.
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 19.Using the force triangle and the Laws of Cosines and Sines We have: Then: = 180 - ( 45 + 25 ) = 110R 2 = ( 30 kN ) + ( 20 kN ) - 2 ( 30 kN )( 20 kN ) cos1102 2= 1710.
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Solution 20.Using the force triangle and the Laws of Cosines and Sines We have: Then: = 180 - ( 45 + 25 ) = 110R 2 = ( 30 kN ) + ( 20 kN ) - 2 ( 30 kN )( 20 kN ) cos1102 2= 1710.
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 1.Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 15 lb and Q = 25 lb, determine graphically the magnitude and direction of their resul
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 2.Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 45 lb and Q = 15 lb, determine graphically the magnitude and direction of their resul
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 3.Two forces are applied to an eye bolt fastened to a beam. Determine graphically the magnitude and direction of their resultant using (a) the parallelogram law, (b) the tria
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 4.A disabled automobile is pulled by means of ropes subjected to the two forces as shown. Determine graphically the magnitude and direction of their resultant using (a) the p
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 5.The 200-N force is to be resolved into components along lines a-a and b-b. (a) Determine the angle using trigonometry knowing that the component along a-a is to be 150 N. (
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 6.The 200-N force is to be resolved into components along lines a-a and b-b. (a) Determine the angle using trigonometry knowing that the component along b-b is to be 120 N. (
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 7.Two forces are applied as shown to a hook support. Using trigonometry and knowing that the magnitude of P is 600 N, determine (a) the required angle if the resultant R of t
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 8.Two control rods are attached at A to lever AB. Using trigonometry and knowing that the force in the left-hand rod is F1 = 30 lb, determine (a) the required force F2 in the
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 9.Two control rods are attached at A to lever AB. Using trigonometry and knowing that the force in the right-hand rod is F2 = 20 lb, determine (a) the required force F1 in th
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 10.An elastic exercise band is grasped and then is stretched as shown. Knowing that the tensions in portions BC and DE of the band are 80 N and 60 N, respectively, determine,
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 11.To steady a sign as it is being lowered, two cables are attached to the sign at A. Using trigonometry and knowing that = 25, determine (a) the required magnitude of the fo
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 12.To steady a sign as it is being lowered, two cables are attached to the sign at A. Using trigonometry and knowing that the magnitude of P is 70 lb, determine (a) the requi
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 13.As shown in Fig. P2.11, two cables are attached to a sign at A to steady the sign as it is being lowered. Using trigonometry, determine (a) the magnitude and direction of
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 14.As shown in Fig. P2.10, an elastic exercise band is grasped and then is stretched. Knowing that the tension in portion DE of the band is 70 N, determine, using trigonometr
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 15.Solve Prob. 2.1 using trigonometry. Problem 2.1: Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 15 lb and Q = 25 lb, determine grap
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 16.Solve Prob. 2.2 using trigonometry. Problem 2.2: Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 45 lb and Q = 15 lb, determine grap
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 17.Solve Prob. 2.3 using trigonometry. Problem 2.3: Two forces are applied to an eye bolt fastened to a beam. Determine graphically the magnitude and direction of their resul
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 18.For the hook support of Prob. 2.7, determine, using trigonometry, the magnitude and direction of the resultant of the two forces applied to the support knowing that P = 50
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 19.Two structural members A and B are bolted to a bracket as shown. Knowing that both members are in compression and that the force is 30 kN in member A and 20 kN in member B
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 20.Two structural members A and B are bolted to a bracket as shown. Knowing that both members are in compression and that the force is 20 kN in member A and 30 kN in member B
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 21.Determine the x and y components of each of the forces shown.Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Ellio
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 22.Determine the x and y components of each of the forces shown.Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Ellio
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 23.Determine the x and y components of each of the forces shown.Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Ellio
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 24.Determine the x and y components of each of the forces shown.Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Ellio
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 25.Member BD exerts on member ABC a force P directed along line BD. Knowing that P must have a 960-N vertical component, determine (a) the magnitude of the force P, (b) its h
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 26.While emptying a wheelbarrow, a gardener exerts on each handle AB a force P directed along line CD. Knowing that P must have a 30-lb horizontal component, determine (a) th
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 27.Activator rod AB exerts on crank BCD a force P directed along line AB. Knowing that P must have a 100-N component perpendicular to arm BC of the crank, determine (a) the m
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 28.Member CB of the vise shown exerts on block B a force P directed along line CB. Knowing that P must have a 260-lb horizontal component, determine (a) the magnitude of the
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 29.A window pole is used to open a window as shown. Knowing that the pole exerts on the window a force P directed along the pole and that the magnitude of the vertical compon
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 30.A window pole is used to open a window as shown. Knowing that the pole exerts on the window a force P directed along the pole and that the magnitude of the horizontal comp
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 31.Determine the resultant of the three forces of Prob. 2.21. Problem 2.21: Determine the x and y components of each of the forces shown.Vector Mechanics for Engineers: Stat
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 32.Determine the resultant of the three forces of Prob. 2.22. Problem 2.22: Determine the x and y components of each of the forces shown.Vector Mechanics for Engineers: Stat
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 33.Determine the resultant of the three forces of Prob. 2.24. Problem 2.24: Determine the x and y components of each of the forces shown.Vector Mechanics for Engineers: Stat
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 34.Determine the resultant of the three forces of Prob. 2.23. Problem 2.23: Determine the x and y components of each of the forces shown.Vector Mechanics for Engineers: Stat
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Instructor's Manual to AccompanyC oncepts of D atabas e M anagement,Fourth EditionInstructor's Materials Prepared by Mary Z. LastConcepts of Database Management, Fourth EditionInstructor's ManualInstructor's Manual to accompany Concepts of Database
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 35.Knowing that the tension in cable BC is 145 lb, determine the resultant of the three forces exerted at point B of beam AB.Vector Mechanics for Engineers: Statics and Dyna
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 36.A collar that can slide on a vertical rod is subjected to the three forces shown. Determine (a) the value of the angle for which the resultant of the three forces is horiz
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 37.Knowing that = 65, determine the resultant of the three forces shown.Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 38.Knowing that = 50, determine the resultant of the three forces shown.Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 39.For the beam of Problem 2.35, determine (a) the required tension in cable BC if the resultant of the three forces exerted at point B is to be vertical, (b) the correspondi
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 40.For the three forces of Prob. 2.38, determine (a) the required value of if the resultant is to be vertical, (b) the corresponding magnitude of the resultant. Problem 2.38:
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 41.For the block of Problem 2.37, determine (a) the required value of if the resultant of the three forces shown is to be parallel to the incline, (b) the corresponding magni
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 42.Boom AB is held in the position shown by three cables. Knowing that the tensions in cables AC and AD are 900 lb and 1200 lb, respectively, determine (a) the tension in cab
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 43.Knowing that = 50 and that boom AC exerts on pin C a force directed along line AC, determine (a) the magnitude of that force, (b) the tension in cable BC.Vector Mechanics
University of Alabama - Huntsville - MAE - 271
COSMOS: Complete Online Solutions Manual Organization SystemChapter 2, Problem 44.Two cables are tied together at C and are loaded as shown. Determine the tension (a) in cable AC, (b) in cable BC.Vector Mechanics for Engineers: Statics and Dynamics, 8/