---### Problem 2/79: Force-Couple System and Resultant Force Analysis**Problem Statement:**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 - **(b)** the points on the x- and y-axes through which the line of action of the single resultant force **R** passes.**Given Data:**- Dimensions of the platform: 88 inches (x-direction) by 66 inches (y-direction)- Forces applied at specified points: - A (top left corner, coordinates: 0, 66): 90 lb (leftward) - B (top right corner, coordinates: 88, 66): 70 lb (45° right) - C (bottom right corner, coordinates: 88, 0): 35 lb (rightward) - O (bottom left corner, coordinates: 0, 0): 80 lb (leftward)**Diagram Description:**- The stage platform is depicted as a rectangular shape with its corners labeled as A, B, C, and O.- O is located at the bottom left corner of the rectangle, where measurements start.- The dimensions given are 88 inches horizontally (x-axis) and 66 inches vertically (y-axis) from point O.- Forces are represented by arrows pointing in the direction of the force application with the corresponding weight (in pounds) labeled next to each arrow: - A red horizontal arrow pointing left at O (80 lb) - A red horizontal arrow pointing left at A (90 lb) - A red diagonal arrow pointing upward and right at B (70 lb at 45°) - A red horizontal arrow pointing right at C (35 lb)**Steps to Determine the Solution:**1. **Equivalent Force-Couple System at O:** - Calculate the resultant force (**R**) by summing up all the horizontal and vertical components. - Compute the moments generated by each force about point O to determine the couple (moment system).2. **Determine Points on the Axes:** - Use the location of the resultant force to find its line of action. - Calculate the intercept points on the x- and y-axes where this resultant force acts.This problem involves combining principles of statics such as

Answered: Image /qna-images/answer/f36f59e7-3116-44aa-83d2-f612666bab8a.jpg

2/79 SS 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. 70 lb ΤΑ B 45° 90 lb 80 lb 66 a --x

2/79 SS 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. 70 lb ΤΑ B 45° 90 lb 80 lb 66 a --x

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A BB-series Astromech Droid of mass 154 kg is suspended by the truss structure shown. The truss structure is pinned to the wall at A and is supported by a rocker against the wall at F. A B 2w E F Allow w = 3 m. Determine the forces in all the members in the structure and indicate whether they are in tension or compression.
View Policies Current Attempt in Progress Determine the combined moment about O due to the weight of the mailbox and the cross member AB. The mailbox weighs 3.2 lb and the uniform cross member weighs 8.8 lb. Both weights act at the geometric centers of the respective items. The moment will be positive if counterclockwise, negative if clockwise. 7" 17" 9" 12" Attempts: 0 of 1 used Submit Answer 3.1" A 34" Answer: Mo= i Save for Later I B lb-in.
A 200-Ib block is suspended from an inextensible cable which is wrapped around a drum of 1.3-ft radius rigidly attached to a flywheel. The drum and flywheel have a combined centroidal moment of Inertia IG=10 Ib-ft-s^2 At the instant shown, the velocity of the block is 5 ft/s directed downward. Knowing that the bearing at A is poorly lubricated and that the bearing friction is equivalent to a couple M of magnitude 60 Ib-ft, determine the work or U1->2 (in ft-Ib) after it has moved 4.2 ft downward
Statics, Civil Engineering The magnitude of the resultant force acting on the bracket is 680 N oriented along the positive u-axis.determine the magnitude of F1 and the direction φUse 3 digits after the comma.
4. Determine the x, y, z components of reaction at the ball-and-socket joint A and the tension in each of the wires, if the load weighs 100kg. 1m 2m 1m D F A 1.5m B G 1m, 1m 1m.
The horizontal shaft AD is attached to a fixed base at D and is subjected to the torques shown. A 44-mm-diameter hole has been drilled into portion CD of the shaft. Knowing that the entire shaft is made of steel for which G = 77 Gpa, determine the angle of twist at end A. 44mm -0.6m 60mm C 2000Nm B 30mm 0.2m 0.4m 250Nm A
Q1/ Find a) Force components b) Resultant and its direction 300 N 200 N 60* 3 50 30* 100 N 250 N 150 N Q2/ a) Find the moment around O point b) Draw free body diagram (FBD) 2 m 1 m 7 kN 4 m (e) Examiner: Dr. Lateef N. Assi Department Head: Rifat Dakhil Good Luck
10:37 AM O O Of 227 2.PNG CER 3 СЕ 2. The frame show in the figure is supported by a hinge at A and a roller at E Compute the horizontal and vertical components of the hinge forces at B and the resultant reaction at C as they act upon member AC a Give the horizontal force component at B b. Give the vertical force component at B c Give the resultant reaction at C 6m 350 kN 3m 4m 2m+ 6m- 2m-
The wire AE is stretched between the corners A and E of a bent plate. Knowing that the tension in the wire is 435 N, (a) Determine the moment about each of the coordinate axes of the force exerted by the wire on corner A (b) Determine the moment about the axis OE of the force exerted by the wire on corner A. 160 mm 120 mm 90 mm E 120 mm B D
200-Ib block is suspended from an inextensible cable which is wrapped around a drum of 1.3-ft radius rigidly attached to a flywheel. The drum and flywheel have a combined centroidal moment of Inertia lG = 10 Ib-ft-s^2 At the instant shown, the velocity of the block is 5 ft/s directed downward. Knowing that the bearing at A is poorly lubricated and that the bearing friction is equivalent to a couple M of magnitude 60 Ib-ft, determine the velocity of the block after it has moved 4.2 ft downward (in ft/s).
Try on your own: 5-79 Bent rod is supported by smooth joumal bearings at A, B and C (just like in classroom problem!) Determine component reactions in each bearing and force F, if at bearing at point C component of reaction C, -0. 300 lb force lies in y-z plane 300 lb 450 1 ft 4 ft 2 ft 3 ft 30 45