Four people are attempting to move a stage plat- form across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force- couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. 280 N B 45 360 N 1650 mm 320 N- 2200 mm 140 N

Four people are attempting to move a stage plat- form across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force- couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. 280 N B 45 360 N 1650 mm 320 N- 2200 mm 140 N

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F₁ = 68 lb. F₂ = 62 lb, F3 = 36 lb. F4 = 50 lb. a = 92 in., b = 74 in., and 0 = 45° F₁ F₂ F₁ R= b Mo= O Answers: (a) The force-couple system at O: i IA On the x-axis x= a On the y-axis y = i B i+ (b) The line of action of the single resultant R: Q F, k lb-in. 0 in. in. j) lb
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The combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M. Assume F₁ = 350 lb, F₂= 620 lb, F₂ = 520 lb, a = 5.4ft, b = 2.9 ft. c = 4.0 ft, and 0 = 50° Answers: R= i 1091.134 lb M= i 9719.344 lb-ft
Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F₁-86 lb, F2-89 lb, F3-44 lb, F4-54 lb, a-95 in., b-72 in., and 6 = 40° | A B 0 F₁ F₁ Answers: (a) The force-couple system at O: R- Mo- C klb-in. j) lb
Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F₁ = 82 lb, F₂ = 87 lb, F3 = 36 lb, F4 = 74 lb, a = 81 in., b = 69 in., and 0 = 46° F F₂ F₁ 5º Answers: (a) The force-couple system at O: R= (i Mo= On the x-axis x= On the y-axis y= B Mi i+ (b) The line of action of the single resultant R: F, Mi klb-in. 0 in. in. j) lb
Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F₁ = 77 lb, F₂ = 72 lb, F3 = 49 lb, F4 = 75 lb, a = 88 in., b = 74 in., and 0 = 48% F₂ F₁ Answers: b (a) The force-couple system at O: R= Mo= (199 175 On the x-axis X= On the y-axis y = 1.67 i+ i 0.878 (b) The line of action of the single resultant R: B. klb-in. F, 104 0 F₁ 4 in. in. j) lb
Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F₁ = 77 lb, F₂ = 72 lb, F3 = 49 lb, F4 = 75 lb, a = 88 in., b = 74 in., and 0 = 48% F₂ F₁ Answers: (a) The force-couple system at O: R= Mo= On the x-axis x = On the y-axis y= B i F₂ (b) The line of action of the single resultant R: i+ i k lb-in. Ө -X in. in. j) lb
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0 y 70° 1 m 0.3 m 1 m 4 kN 0.5 m 1.5 m 15 kN m 10 KN 6 KN 0.3 m Replace the three horizontal forces and appled couple with an equivalent force-couple system at O by specifying the resultant R and couple Mo. Determine: Moment about point O round off to two (2) decimal places counter-clockwise (+) positive include negative sign (-) if the answer is negative answer range: +/- 0.05 units
Answers: (a) The force-couple system at O: R = ( i i+ i j) Ib Mo = i k Ib-in. (b) The line of action of the single resultant R: On the x-axis x= i in. On the y-axis y = i in.
120 Rigid Bodies: Equivalent Systems of Forces 3.74 Two parallel 40-N forces are applied to a lever as shown. Deter- mine the moment of the couple formed by the two forces (a) by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples, (b) by using the perpendicular distance between the two forces, (e) by summing the moments of the two forces about point A. 20° 40 N The tw hafts of a sneed-reducer unit are subiected to couples mag d = 1 Ib I ad M "couples with a gle quivalent couple, specifts mag- .ade and the dire 40 N 270 mm w It, respectiv y. Pplace its axis. 55° 390 mm A O Fig. P3.74
For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 20 kN, F₂ = 40 kN, F3 = 40 kN, F4 = 50 kN, and M = 120 kN-m. 6 m H C F₁ Answers: 8 m F₂ Equation of line: y = x-axis: x = i -1.04 y-axis: y = i 1.37 B ·x M D 1.32 F₁ F₂ E E X+ 1.37 E