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 Answers: b R= (a) The force-couple system at O: Mo= O On the x-axis x = B. On the y-axis y= i+ F, (b) The line of action of the single resultant R: klb-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 = 81 lb, F₂ = 77 lb, F3 = 36 lb, F4 = 55 lb, a = 89 in., b = 79 in., and 0 = 49° F F₂ F₁ Answers: b R= (a) The force-couple system at O: Mo= O On the x-axis x = B. On the y-axis y= i+ F, (b) The line of action of the single resultant R: klb-in. 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...

See similar textbooks

Similar questions

The force system acting on the plate is equivalent to a single couple C. Determine C.
Determine the horizontal and vertical components of force that the pins at A and B exert on the frame. 4.1 The magnitude of the horizontal component Ax at the hinged support A is Blank 1 kN. 4.2 The magnitude of the vertical component Ay at the hinged support A is Blank 2 kN. 4.3 The magnitude of the horizontal component Bx at the hinged support B is Blank 3 kN. 4.4 The magnitude of the vertical component By at the hinged support B is Blank 4 kN.
The steering column of the rack-and-pinion steering mechanism lies in the xz-plane. The tube AB of the steering gear is attached to the automobile chassis at A and B. When the steering wheel is turned, the assembly is subjected to the four couples shown: the 3-N m couple applied by the driver to the steering wheel, two 1.8-N m couples (one at each wheel), and the couple formed by the two forces of magnitude F acting at A and B. If the resultant couple acting on the steering mechanism is zero, determine F and the angle (the magnitude and direction of the bearing reactions).
The 1800lbin. couple is applied to member DEF of the pin-connected frame. Find the internal force systems acting on sections 1 and 2.
Determine whether the force-and-couple system shown can be reduced to a single equivalent force R . If it can, determine R and the point where the line of action of R intersects the yz plane. If it cannot be reduced, replace the given system with an equivalent wrench and determine its resultant, its pitch, and the point where its axis intersects the yz plane.
Determine the x, y, z components of reaction at the fixed wall A. The 150N force is parallel to the z axis and the 200N force is parallel to the y axis. Determine the x, y, z components of the moment of reaction at the fixed wall A.
The bracket, which is fastened to a wall by anchor bolts at A and B, is loaded by the force P = 140 N and the couple C = 180 N · m. Replace P and C with (a) an equivalent force-couple system, the force of which acts at A; and (b) two vertical forces, one acting at A and the other at B.
The bracket, which is fastened to a wall by anchor bolts at A and B, is loaded by the force P = 140 N and the couple C = 180 N•m. Replace P and C with (a) an equivalent force-couple system, the force of which acts at A; and (b) two vertical forces, one acting at A and the other at B.
A 77-N force F1 and a 31- N.m couple M1 are applied to corner E of the bent plate shown. If F1 and M1 are to be replaced with an equivalent force-couple system (F2, M2 ) at corner B and if (M2) z= 0, determine (a) the distance d, (b) F2 and M2.
A worker tries to move a rock by applying a 360-N force to a steel bar as shown. (a) Replace that force with an equivalent force-couple system at D. (b) Two workers attempt to move the same rock by applying a vertical force at A and another force at D . Determine these two forces if they are to be equivalent to the single force of part a.
Four tugboats are bringing an ocean liner to its pier. Each tugboat exertsa 5000-lb force in the direction shown. Determine (a) the equivalent forcecouple system at the foremast O, (b) the point on the hull where a single,more powerful tugboat should push to produce the same effect as theoriginal four tugboats.
a) Determine the magnitude of the resultant R for the F1 and F2 combination.b) Where should the resultant force R act in order to result in the sameexternal effect that will be caused by the combination of F1 and F2 alone.(Your answer should be the value of d in the figure)c) In addition to R when d is 50mm, find the magnitude of 2 force P’s to beapplied horizontally through points B and C in order to form a couple thatwill result to the same external effect that will be caused by thecombination of F1 and F2 alone. Is the couple caused by the 2 force P’sclockwise or counter-clockwise?