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 klb-in. Ө -X 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 klb-in. Ө -X in. in. j) lb

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter2: Basic Operations With Force Systems

Section: Chapter Questions

Problem 2.81P: The steering column of the rack-and-pinion steering mechanism lies in the xz-plane. The tube AB of...

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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 = 90 lb, F₂ = 68 lb, F3 = 45 lb, F4 = 77 lb, a = 84 in., b = 71 in., and 0 = 43°. F b Answers: (a) The force-couple system at O: R= (i Mo = |A On the x-axis x = On the y-axis y= (b) The line of action of the single resultant R: i B i i+ i k lb-in. Ө 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 = 82 lb, F2 = 87 lb, F3 = 36 lb, F4 = 74 lb, a = 81 in., b = 69 in., and 0 = 46° y F F₁ F₁ Answers: (a) The force-couple system at O: R= A Mo= (i 220.4 2322.2 On the x-axis x = On the y-axis y = 26.0 B (b) The line of action of the single resultant R: 10.5 C 0 i+ 89.2 k lb-in. 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 = 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 = 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
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 = 81 lb, F₂ = 77 lb, F3 = 36 lb, F4 = 55 lb, a = 89 in., b = 79 in., and 0 = 49%. F F₂ F₁ b Answers: R= (a) The force-couple system at O: | A Mo= i On the x-axis x= On the y-axis y = B. (b) The line of action of the single resultant R: i ان F, Mi klb-in. -x in. in. j) lb
Current Attempt in Progress 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 = 61 Ib, F2 = 74 lb, F3 = 43 lb, F4 = 57 lb, a = 73 in., b = 61 in., and 0 = 44°. y F. |A B F . C F, а F,
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 = 72 lb, F₂=73 lb, F3 = 32 lb, F4-51 lb, a = 101 in., b = 79 in., and 0 = 49° F₂ F₁ Answers: (a) The force-couple system at O: R= (i Mo (b) The line of action of the single resultant R: On the x-axis x= On the y-axis y= k lb-in. i 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 = 86 lb, F₂ = 84 lb, F₁=43 lb, F₂=59 lb, a=76 in, b= 65 in, and 0 = 48% F₁ F R= b Answers: (0) The force-couple system at O: Mo= IA B 8 1i+ klb-in. Dlb
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 - 72 lb, F-41 lb, F4-52 lb, a-90 in., b-76 in., and 0 = 48 B. 0 Answers: (a) The force-couple system at O R- i+ Dlb Mo- kib-in (b) The line of action of the single resultant R On the x-axis x- On the y-axis y In in
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
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 = 410 lb, F₂ = 660 lb, F3 = 700 lb, a = 5.8 ft, b = 2.0 ft, c = 3.9 ft, and 0 = 53° a Answers: R = i lb M = i lb-ft
In tightening a bolt whose center is at point O, a person exerts a 54-lb force on the ratchet handle with his right hand. In addition, with his left hand he exerts a 30-lb force as shown in order to secure the socket onto the bolt head. Determine the equivalent force- couple system at O. Then find the point in the x-y plane through which the line of action of the wrench passes. 154 lb 9.5' 1.3 30 lb Answers: Force-couple system at O R = ( i i+ i j+ i k) Ib Mo = ( i i+ i j+ k) Ib-in. Location of wrench (x,y) = ( i ) in.