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
- 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 + Ry j - (0.7 ib)k and the couple MRa = Mxi + (1.0 1b.ft)j - (0.72 1b/ft)k. (b) Find the corresponding values of Ry and Mx.arrow_forwardPart a) Determine the force exerted by his seat on a 170-lb rider at B and D Part b) Determine the minimum value of the radius of curvature at E if the roller coaster is not to leave the track at that point.arrow_forwardA 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 R = −(25 N)i + Ry j + Rzk and MA R = −(13.5 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_forward
- The force and couple shown are to be replaced by an equivalent single force. Knowing that P=2Q , determine the required value of a if the line of action of the single equivalent force is to pass through (a) point A, (b) point C.arrow_forwardIn order to unscrew the tapped faucet A , a plumber uses two pipe wrenches as shown. By exerting a 40-lb force on each wrench at a distance of 10 in. from the axis of the pipe and in a direction perpendicular to the pipe and to the wrench, he prevents the pipe from rotating, and thus he avoids loosening or further tightening the joint between the pipe and the tapped elbow C . Determine (a) the angle 0 that the wrench at A should form with the vertical if elbow C is not to rotate about the vertical, (b) the force-couple system at C equivalent to the two 40-lb forces when this condition is satisfied.arrow_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_forward
- 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.arrow_forwardmodified question from the book vector mechanics for engineers: statics and dynamics 10th edition from chapter 2 exercise 58 Two cables tied together at C are loaded as shown Knowing that the maximum allowable tension is 1770 N in cable AC and 770 N in cable BC, determine (a) the intensity of the largest force P that can be applied at C. (b) the correspondingarrow_forwardSlider P can move along rod OA. An elastic cord PC is attached to the slider and to the vertical member BC. Knowing that the distance from O to P is 6 in. and that the tension in the cord is 3 lb, determine (a) the angle between the elastic cord and the rod OA, (b) the projection on OA of the force exerted by cord PC at point P.arrow_forward
- Three cables are used to tie the balloon shown in the Figure. Determine the magnitude of the vertical force (P) exerted by the balloon at A, knowing that the tension in cable AD is 1.641 N. y1 = 4.1 m y2 = 2.3 m x1 = 4.4 m x2 = 3.1 m z = 6 marrow_forwardIn trying to move across a slippery icy surface, a 175-lb man uses two ropes AB and AC. Knowing that the force exerted on the man by the icy surface is perpendicular to that surface, determine the tension in each rope.arrow_forwardIn order to unscrew the tapped faucet A, a plumber uses two pipe wrenches as shown. By exerting a 40-lb force on each wrench, at a distance of 10 in. from the axis of the pipe and in a direction perpendicular to the pipe and to the wrench, he prevents the pipe from rotating, and thus avoids loosening or further tightening the joint between the pipe and the tapped elbow C. Determine (a) the angle θ that the wrench at A should form with the vertical if elbow C is not to rotate about the vertical, (b) the force-couple system at Cequivalent to the two 40-lb forces when this condition is satisfied.arrow_forward
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