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 = 87 lb, F₂ = 85 lb, F3 = 46 lb, F4 = 55 lb, a = 82 in., b = 64 in., and 0 = 44°. y 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 = 87 lb, F₂ = 85 lb, F3 = 46 lb, F4 = 55 lb, a = 82 in., b = 64 in., and 0 = 44°. y F.

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 2.83P: A 15-lb force acts at point A on the high-pressure water cock. Replace this force with (a) a force...

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Situation 6. Determine the resultant force R and its line of action for the following force-couple systems: y (a) F = 300 N, F, = 0, and C = -300 N – m (b) F = 200 N, F, = -200 N, and C = 800 N – m (c) F = -600 N, F, = -400, and C = -0 %3D %3D Fy %3D %3D Fx
Q2. Choose the correct answer from a-b-c-d. 1- Determine the magnitude and direction of the moment of the force of the movement if the force at A about point P. a- Mp = 1440 NmC b- Mp = 1440 Nm Ɔ 2 m 4 m c- Mp = 600 NmC 1315 12 d- Mp = 600 Nm 260 N 3- The refrigerator has a weight of 200 lb and a center of gravity at G. Determine the force P required to move it. Will the refrigerator tip or slip? Take H = 0.4. %3D a- P = 80 lb Slips b- P = 75 lb Tips 4 ft 1.5 ft 3 ft c- P = 75 lb Slips d- P = 80 lb Tips 3 ft
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.
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 = 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
Q2. Choose the correct answer from a-b-c-d. 1- Determine the magnitude and direction of the moment of the force of the movement if the force at A about point P. a- Mp = 1440 NmC b- Mp = 1440 Nm Ɔ 2 m 4 m c- Mp = 600 NmC 13 12 d- Mp = 600 Nm Ɔ 260 N 3- The refrigerator has a weight of 200 lb and a center of gravity at G. Determine the force P required to move it. Will the refrigerator tip or slip? Take H = 0.4. a- P = 80 lb Slips b- P = 75 lb Tips 4 ft 1.5 ft 3 ft c- P = 75 lb Slips d- P = 80 lb Tips 3 ft 3.
Identify the conditions under which a given system of forces can be reduced to a single force (Check all that apply) O One can replace the force -couple system at O by a single force R acting along a new line of action if R and M, are mutually tangential. One can replace the force -couple system at O by a single force R acting along a new line of action if R and M, are mutually perpendicular. O One can replace the force -couple system at O by a single force R acting along a new →R line of action if R and M, are mutually parallel.
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 = 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 = 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
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 = 66 lb, F2 = 60 lb, F3 = 25 lb, F4 = 74 lb, a = 88 in., b = 67 in., and F₁ F, F₁ Answers: b R= (a) The force-couple system at O: Mo= O (i On the x-axis x= B On the y-axis y = F, i+i (b) The line of action of the single resultant R: k lb-in. Ө in. in. = 41° j) lb
From the lesson of spatial force system, resolve problem 3 if x = 15 m, y = 20 m, the support at A is moved downward by a vertical distance of 3 m, the support at B is moved upward by a vertical distance 4 m and the support at C is moved downward by a vertical distance 2 m. Determine the magnitude and coordinate direction angles of the resultant force. 600 N 400 N 800 N 24 m (16 m 4m 6 m 18 m