While using a pencil sharpener, a student applies the forces and couple shown. (a) Determine the forces exerted at B and C knowing that these forces and the couple are equivalent to a force-couple system at A consisting of the force R = (2.6 lb)i + Ryj – (0.7 lb)k and the couple
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Vector Mechanics for Engineers: Statics, 11th Edition
- Knowing that = 36° and Mc = 350 ft-lb, reduce the force-couple system shown to an equivalent force and couple at point B. Enter the magnitude of the couple at B below in ft-lb to the nearest whole ft-lb. Enter a positive number if the couple at B is CCW and a negative number if the couple at B is CW. 4 Mc 50 lb 150 lb -3 ft- A 2 ft 4 ftarrow_forward3.104 Five separate force-couple systems act at the corners of a piece of sheet metal, which 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 - ftj + (15 lb - ft)k located at the origin. 5 Ib-ft 15 Ib-ft 5 Ib-ft 5 lb-ft 15 Ib-ft 10 lb 10 lb 15 Ib-ft B 2 ft 25 Ib-ft 10 lb 80 lb-ft 2.5 ft 10 lb 15 Ib-ft 2 ft 10 Ib 2 ft' 15 Ib-ft Fig. P3.104 Luarrow_forward40° 360 N 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 0.4 m D 0.35 m 0.3 m 30° these two forces if they are to be equivalent to the single force of Part a. 24 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_forwardA blade held in a brace is used to tighten a screw at A. (a) Determinethe forces exerted at B and C, knowing that these forces are equivalent to a force-couple system at A consisting of R =-(30 N)i + Ry j+ Rz k and M = –(12 N · m)i. (b) Find the corresponding values of Ry and Rz. (c) What is the orientation of the slot in the head of the screw for which the blade is least likely to slip when the brace is in the position shown?arrow_forward7. Calculate the resultant of the force and couple system shown. Express your answer as a single force of magnitude F, acting at an angle relative to the horizontal, located at a perpendicular 0.9" 1.5" kN/m 2.7 m 18 kN distance d relative to Point A. 4.5 kN-m 90° ------ 4.5kN/m | 0.9 m 1.8 m 6 kN 30° 9 kNarrow_forward
- 6 in. 6 in. 160 lb-in. 18 in. B 30 lb 34 lb H 18 in. 12 in. D 6 in. 8 in. in. 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 so 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.arrow_forwardTo test the strength of a 625 × 500-mm suitcase, forces are applied as shown. If P = 88 N, (a) determine the resultant of the applied forces, (b) locate the two points where the line of action of the resultant intersects the edge of the suitcase. P 80 mm 212 N - 450 mm 100 mm A ! B 100 N 280 mm 180 N Darrow_forwardThe forces shown form a couple. Which ONE of the following equations can be used to replace the shown couple with an equivalent couple acting at points A and B. HINT: Choose clockwise as negative and counterclockwise as positive. 50 mm AB 40 N 200 mm 40 N Ⓒa. 40 N(200 mm) - F(50 mm) = 0 b. -40 N(200 mm) + F(50 mm) = c. +40 N(200 mm) + F(50 mm) = 0 d. 50 N(200 mm) - F(40 mm) = 0 e. 40 N(50 mm) - F(200 mm) = 0 Clear my choicearrow_forward
- Q1) The motor mounted on the bracket is acted on by its 300 N weight, and its shaft resists the 200 N thrust and 25 N.m couple applied to it. Determine the resultant of the force system shown in terms of a force R at A and a couple M. 300 mm 100 mm 300 N /A -- y 25 N-m 100 mm 200 N 150 mmarrow_forwardIf each of the force system shown is reduced to a force-couple system with the force acting at A, which force systems are equivalent? 400 N 200 N-m 400 N 200 N 4 m (a) (d) SCO N 200 N 2300 N.m A 1800 N.m 800 N 200 N.m 2400 N-m 4000 N-m 600 N 400 N 300 N (b) (e) (h) 900 N-m A 200 N 400 N.m 300 N D 300 N-m 300 N 300 N-m 800 N (c) (f) 900 N 4500 N.m 300 N-m 200 Narrow_forwardIdentify 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.arrow_forward
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