PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Resolve the forces F1=6 kN and F2=6 kN into components acting along the u and v axes and determine the magnitudes of the
components. The angles are given as 01=26, 02=89 and 03=52.
F1
F2
|(F)ul=
kN
(F)y =
kN
(F2)u =
kN
(F2)y =
kN
1. If the resultant force acting on the hook is FR = { -115 i + 643 j + 139 k } lb, determine the magnitude of the force FR in lb.
Three chains act on the bracket in such a way as to generate a resultant force of 2224 N. If two of the chains are subjected to known forces (P1 and P2) as shown in the figure, determine the orientation Ѳ of the third chain, measured clockwise, from the positive x axis, so that the magnitude of the force, F, on this chain is minimal. All forces lie in the x - y plane. What is the magnitude of F? TIP: First find the resultant of the two known forces, the force F acts in this direction.
Note: P1 = 400 lb and P2 = 300 lb
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- 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 F4 and Fg acting on each chain and the angle 0 of FB so that the magnitude of FB is a minimum. F4 acts at 30° from the y axis, as shown. FB FA 30°arrow_forwardReplace the force system acting on a plate by a single force and determine where the line of action of this force intersects the x-axis and the y-axis. y 180 N 240 mm- 300 N 70° 15° 63 N.m 120 N 500 mm 60 N.m 180 mm 150 mm -300 mm- X -600 mm-arrow_forwardThe boat is to be pulled onto the shore using two ropes. If the resultant force is to be 400N, directed along the keel aa as shown, determine the magnitude of forces T and P acting in each rope and the angles 0 of P so that the magnitude of P is a minimum. T acts at 30° from the keel as shown. ( Ans: 0= 60° , P= 200 N, T = 346 N) a Tarrow_forward
- < Three forces act on the bracket. Determine the magnitude of F₂ so that the resultant force is directed along the positive u axis and has a magnitude of 56 lb. F3 = 52 lb F₁ = 80 lbarrow_forwardDetermine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x axis. F = 250 lb -30 F; = 375 lbarrow_forwardThe 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 F4 and Fg acting on each chain and the angle 0 of Fg so that the magnitude of FR is a minimum. FĄ acts at 30° from the y axis, as shown. FB FA 30°arrow_forward
- Two rods and one cable are attached to the supports at O. If two of the forces are as shown, determine the magnitude F and direction of the third force so that the resultant of the three forces is vertically downward with a magnitude of 1260 lb. 830 lb Answers: F = 0= i 44° 33° lb D 440 lbarrow_forwardDetermine the magnitude of the resultant force in N of a coplanar force . The horizontal force P=231N and the couple M=501Nmarrow_forwardTwo rods and one cable are attached to the supports at O. If two of the forces are as shown, determine the magnitude F and direction of the third force so that the resultant of the three forces is vertically downward with a magnitude of 1210 lb. F 990 lb 600 lb 8 Answers: F= i 0 = i 42° 30° lb 0arrow_forward
- The boat is to be pulled onto the shore using two ropes. If the resultant force is to be 80 KN, directed along the direction of the boat, determine the magnitudes of forces T and P acting in each rope and the angle θ of P so that the magnitude of P is a minimum. T acts at 30o .arrow_forwardQ2: If the F1 = F2 = 40 KN determine the angle 0 with y axis and o with y axis so that the resultant force is directed along the positive y axis and has a magnitude of FR=30 kN? (25) a yarrow_forwardDetermine the magnitude of the resultant force if 8 = 32 degrees and T = 10 kN. Provide the answer in kN. 8 kN Add your answer T ¹10 kN 5 kN Iarrow_forward
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