Concept explainers
Four
-diameter pegs are attached to a board as shown. Two strings are passed around the pegs and pulled with the forces indicated. (a) Determine the resultant couple acting on the board. (b) If only one string is used, around which pegs should it pass and in what directions should it be pulled to create the same couple with the minimum tension in the string? (c) What is the value of that minimum tension?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Statics and Mechanics of Materials
Additional Engineering Textbook Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Manufacturing Engineering & Technology
Fluid Mechanics Fundamentals And Applications
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
Vector Mechanics for Engineers: Dynamics
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
- A 260-lb force is applied at A to the rolled-steel section shown. Replace that force with an equivalent force-couple system at the center C of the section.arrow_forwardThree cables are attached to a bracket as shown. Replace the forces exerted by the cables with an equivalent force-couple system at Aarrow_forwardTwo parallel 60-N forces are applied as shown to the corners A and C of a 200-mm square plate. Determine themoment of the couple formed by the two forces (a) by multiplying their magnitude by their perpendicular distance,(b) by resolving each force into horizontal and vertical components and adding the moments of the two resultingcouplesarrow_forward
- A couple M and the three forces shown are applied to an angle bracket. Find the moment of the couple if the line of action of the resultant of the force system is to pass through ( a) point A , (b) point , (c) point C.arrow_forwardA plate in the shape of a parallelogram is acted upon by two couples.Determine (a) the moment of the couple formed by the two 21-lb forces, (b) the perpendicular distance between the 12-lb forces if the resultant of the two couples is zero, (c) the value of a if the resultant couple is 72 lb·in. clockwise and d is 42 in.arrow_forwardThe 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).arrow_forward
- The cable stays AB and AD help support pole AC. Knowing that the tension is 120 lb in AB and 40 lb in AD, determine by trigonometry the magnitude and direction of the resultant of the forces exerted by the stays at A.arrow_forwardA dirigible is tethered by a cable attached to its cabin at B. If the tension in the cable is 1040 N, replace the force exerted by the cable at B with an equivalent system formed by two parallel forces applied at A and C.arrow_forwardA small boat hangs from two davits, one of which is shown in the figure. It is known that the moment about the z axis of the resultant force RA exerted on the davit at A must not exceed 279 lb·ft in absolute value. Determine the largest allowable tension in line ABAD when x=6 ft.arrow_forward
- In Prob. 3.57, determine the perpendicular distance between rod BH and the line of action of AD.(Reference to Problem 3.57):The frame ACD is hinged at A and D and is supported by a cable that passes through a ring at B and is attached to hooks at G and H . Knowing that the tension in the cable is 450 N, determine the moment about the diagonal AD of the force exerted on the frame by portion BH of the cable.arrow_forwardPlease solve quick and correctly. A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is a 25Kn force directed along the axis of the barge, determine the tension in each of the ropes knowing that theta = 45 degrees.arrow_forwardThe forces and couples shown are applied to two screws as a piece of sheet metal is fastened to a block of wood. Reduce the forces and the couples to an equivalent wrench and determine (a) the resultant force R, (b) the pitch of the wrench, (c) the point where the axis of the wrench intersects the xz plane.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L