A blade held in a brace is used to tighten a screw at A. (a) Determine the forces exerted at B and C, knowing that these forces are equivalent to a force-couple system at A consisting of
(b) Find the corresponding values of
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Statics and Mechanics of Materials
- 4. A machine component is subjected to the forces and couples as shown. If P = 60 N, determine the magnitude and direction of the resultant force as well as the location where the resultant force passes through vertical line GF and horizontal line GH. 15 200 N 50 mm 520 mm E 50 mm 240 mm 42 N-m D 120 N 70⁰ 40 N-m 640 mm H 80 N 180 mm B +50mm Ans: (a) 0.365 m above G (b) 0.227 m to the right of Garrow_forward4. For the force-couple system as shown, determine the following: Magnitude of the couple moment Mc so that the equivalent system is a single force acting at point P b. a. Point of application of the single equivalent force along line AB if MC is equal to 180 lb-ft counterclockwise. 85 lb 40 ° 100 16 30 lb 15° Mc 35 lb 400 P 1 ft A 85 lb B 1 ft 200 lbarrow_forwardThe pulley and gear are subjected to the loads shown. For these forces, determine the equivalent force-couple system at point O. 355 mm 285 110 mm mm 730 N 55 mm 215 N 15° 1215 N Answers: R = (i i+ i j+ i k) N Mo = ( i i+ i j+ i k) N-marrow_forward
- Q1: If the combined moment of the two forces about point C is zero, determine (a) The magnitude of the force P (b) The magnitude R of the resultant of the two forces, Specify the distance x from point O to the point on the x-axis through which the line of action of R passes. 120N 40 mm +P 40 mm 60° -x 40 mm C Q2. The original force and couple system and an equivalent force- couple system have the same -------- effect on a body. A) Internal B) External C) Internal and external D) Microscopicarrow_forwardReduce the given loading system to a force-couple system at point A. Then determine the distance x to the right of point A at which the resultant of the three forces acts. 380 lb 9" 15" HJ 12" 640 lb A Answers: Force-couple system at A. The force is positive if up, and the moment is positive if counterclockwise. R= M= i X= i Resultant 330 lb i lb lb-in. in.arrow_forwardReduce the given loading system to a force-couple system at point A. Then determine the distance x to the right of point A at which the resultant of the three forces acts. 800 N 720 N 200 mm 500 mm A 450 mm 1200 Narrow_forward
- Five separate force-couple systems act at the corners of a piece of sheet metal that has been bent into the shape shown. Determine which of these systems is equivalent to a force F = (10 lb)i and a couple of moment M = (15 lb·ft)j + (15 lb·ft) k located at the origin.arrow_forwardPROBLEM 3 The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M, if the system shown is equivalent to a single force acting at point C. b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in clockwise. If M, in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force Ralong line CD. 50° 1YZ kips 10 in 1X in 10 in A |20 kips 35 kips 8x kips 2Y in M, 50° 1YZ kips C D Parameters X = 4, Y = 8, Z = 7 1X in 13 in 2Y in 24 in 8X kips 83 kips 145 kips 1YZ kips 18 inarrow_forwardFour 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. 72 lb 50° B. A 69 lb 61" 75 lb 74" 34 lb Answers: (a) The force-couple system at o: R = j) Ib M, = k Ib-in. (b) The line of action of the single resultant R: On the x-axis x = in. On the y-axiİs y = in.arrow_forward
- Practice Problem 3.4.3: Two cable tensions and a couple act on the rod OAB. Determine the equivalent force-couple system with the force acting 3 m at O. 3 m· -3 m 50 kN A 150 kN•m 20 kN y 4 m - -2 m-arrow_forward4. Reduce the given loading system to a force-couple system at point A. Then determine the distance x to the right of point A at which the resultant of the three forces acts. gON 72ON 200mm 500 mm 450 mm 1200Narrow_forward(Q1) Replace the system shown below by a single force at B and a couple. 700 N 30 450 N 300 N 60 1500 N-m 4 m -3 marrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY