Chapter 2 - 1-1

# Chapter 2 - 1-1 - 2.3 VECTOR Aeomos OF Fosces F24....

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Unformatted text preview: 2.3 VECTOR Aeomos OF Fosces F24. Determine the magnitude of the resultant force acting on the screw eye anti its direction measured clockwise from the x axis. FZ—ti. Resolve the 30—1?) force into components along the u and v axes, and determine the magnitude of each of these oompenents. FZ—l F2»—4 FZ—Z. Two ferces act on the hook. Determine the magnitude of the resuitant force. F26. The force F x 4501b acts on the frame. Resoive this force into components acting along members AB and AC, and determine the magnitude of each component. FZMS F2—3. Determine the magnitude of the :esuitant force ‘and its direction. measured counterclockwise from the positive 3: axis. FEE—6. If force F is to have a component along the a axis of FE m 6 kN, determine the magnitude of F and the magnitude of its component Fl, aiong the '1) axis. FZ-S ‘ M6 "‘ Partial soiutions and answers to all Fundamental Problems are given in the back of the book. \ 28 CHAPrER 2 ‘ Fence VECTORS 02—1. 1ft) = 30° and T a: 6 kN, determine the magnitude of the resultant force acting on the eyeboit and its direction measured clockwise from the positive x axis. 2-2. If: 9 = 60° and T = 5 kN, determine the magnitude of the resultant force acting on the eycbolt and its direction measured clockwise from the positive x axis. 2—3. It the magnitude of the resultant force is to be 9 icN directed along the positive x axis, determine the magnitude of force T acting on the eyebolt and its angle 9. SKN Probe. 2—1125 Determine the magnitude of the resultant force acting on the bracket and its direction measured counterciockwise from the positive at axis. '2—5. Resolve F1 into components along the n and 'u axes, and determine the magnitudes of these components. 2—6. Resolve F2 into components aiong the u and o axes, and determine the magnitudes of these components. F2 = 150 lb Probe. 2—4I5/6 2—7. 1?." PB m ZkN and the resultant force acts along the positive it axis, determine the magnitude of the resnitant force and the angle (9. *2—8. If the resultant force is required to act along the positive u axis and have a magnitude of 5 kN, determine the required magnitude of F3 and its direction 0. Probs. 2418 '2r“9- The plate is subjected to the two forces at A and B as shown. It" 8 = 60°, determine the magnitude of the resultant of these two forces and its direction measured cioctcwise from the horizontal. 2—10. Determine the angle of 9 for connecting member A to the plate so that the resultant force of FA and F3 is directed horizontally to the right. Also, what is the magnitude of the resultant force? Fﬁsm " F3 m 6 kN . Probe. 2—9l10 E. f. 2.3 VECTOR Aoomow OF FORCES 29 2—11. If the tension in the caoie is 400 N, determine the magnitude and direction of the resultant force acting on the pulley. This angle is the same angle 6 of line AB on the tailboard biocit. 2&4. Determine the design angle 8(0" 53 8 s 90°) for strut AB so that the 4004i) horizontal force has a component of 500 lb directed from A towards C. What is the component of force acting along member AB? Take d) = 40°. 2—15. Determine the design angle {:6 (0° 5 d; g 90") f betwrsen struts AB and AC so that the 400—113 horizontal . . force has a component of 6001b which acts up to the left, in the same direction as from B towards A. Take 6 z 30". Prob. 241 Probs. 2—14115 . lit \$12. The device is used for surgical replacement of the knee goint. if the force acting along the ieg is 360 N, *2~16. Resolve F1 into components along the u and n axes 2 determine its components along the x and y’ axes. ‘ and determine the magnitudes of these components. 02-‘1'7. Resolve F2 into components along the Lt and t) axes '2713. The device is used for surgicat replacement of the and determine the magnitudes of these components. knee joint. If the force acting along the leg is 360 N, determine its comgonents along the x' and y axes. F} =250N Li Probs. 242/13 Probs. 2—16! 30 CHAPTER 2 FORCE VECTORS 248. The truck is to be towed using two ropes. Determine the magnitudes of forces FA and F3 acting on each rope in order to develop a resultant force of 950 N directed aloag the positive x axis. Set 8 == 50°. 2,49. The truck is to be towed using two ropes. If the resultant force is to be 950 N, directed along the positive x axis, determine the magnitudes of forces FA and F3 acting on each rope and the angle (9 of F3 so that the magnitude of F3 is a minimum. FA acts at 20° from the x axis as shown. y Prob. 2—18119 *2—20. if ch = 45°, F; = 5 RN, and the resultant force is 6 kN directed along the positive y axis, determine the required magnitude of F2 and its direction 8. «2—21. It a 2 30° and the resultant force is to bee kN directed along the positive y axis, determine the magnitudes of F3, and F2 and the angle 6 if F; is required to be a minimum. 2—2.2. If (,b m 30°, F; = 5 kN, and the resultant force is to be directed along the positive y axis, determine the magnitude OE the resuitant force if F; is to be a minimum. Also, what is F; and the angle 6? F1 Probs. 2-«20l21122 243. If 6 m 30" and F2 2"- 6 kN, determine the magnitude of the resultant force acting on the plate and its direction measured clockwise from the positive x axis. *2—24. It the resultant force ER is directed along a line measured 75° clockwise from the positive x axis and the magnitude of F2 is to be a minimum, determine the magnitudes of FR and F2 and the angle (9 5 90°. Probs. 243/24 -2-25. Two forces F1 and F2 act on the screw eye. If their lines of action are at an angle 8 apart and the magnitude of each force is F1 = F; m F, determine the magnitude of the resaitant force F R and the angle between FR and F1. Prob. 2—25 " w L. El: 1“ i r. F. r i: L- i ,, 2-26. The log is being towed by two tractors A and B. Determine the magnitudes of the two towing forces FA and F3 if it is required that the resultant force have a magnitude FR = 10 lcN and be directed along the x axis. Set 9 S 15°. 2—27. The resultant F R of the two forces acting on the log is to be directed along the positive x axis and have a magnitude of i0 kN, determine the angle 9 of the cable, attached to B such that the magnitude of force F3 in this cable is a minimum. ' What is the magnitude of the force in each cable for this situation? Y Probe. \$26127 *2-—28. The beam is to be hoisted using two chains. Deter~ mine the magnitudes of forces FA and F3 acting on each chain in order to develop a resultant force of 600 N directed along the positive y axis. Set 9 m 45°. '2—29. The beam is to be hoisted using two chains. If the resultant force is to be 600 N directed along the positive y axis, determine the magnitudes of forces FA and F3 acting on each chain and the angle 6 of F3 so that the magnitude of F3 is a minimum. FA acts at 30° from the y axis, as shown. Prohs. 248.99 2.3 VECTOR ADDiTlON OF FORCES 31 2—30. Three Chains act on the bracket such that they create a resultant force having a magnitude of 500 lb. If two of the chains are subjected to known forces, as showa, determine the angle 8 of the third chain measured clockwise from the positive x axis, so that the magnitude of force F in this chaih is a minimum. All forces lie in the x—y plane. What is the known forces. Force F acts in this direction. 2901b Froh. 2-399 2—31. Three cables pull on the pipe such that they create a resultant force having a magnitude of 900 1b. If two of the cables are subjected to known forces, as shown in the figure, determine the angle 9 of the third cable so that the magnitude of force F in this cable is a minimum. All forces lie in the xwy plane. What is the magnitude of 13‘? Hint: First find the resuitant of the two known forces. Y \430 lb Prob. 2—31 (#51:..w- ...
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## This note was uploaded on 09/06/2010 for the course CHEM 114 taught by Professor Hsieh during the Fall '10 term at Loyola Marymount.

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Chapter 2 - 1-1 - 2.3 VECTOR Aeomos OF Fosces F24....

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