Page 132 3.74 A piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. Knowing that the drill exerts a 12-N.m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) at A and B, (b) at B and C, (c) at A and C.

Page 132 3.74 A piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. Knowing that the drill exerts a 12-N.m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) at A and B, (b) at B and C, (c) at A and C.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter2: Basic Operations With Force Systems

Section: Chapter Questions

Problem 2.81P: The steering column of the rack-and-pinion steering mechanism lies in the xz-plane. The tube AB of...

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A piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. Knowing that the drill exerts a 12-N.m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) at A and B, (b) at B and C, (c) at A and C.
A piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. Knowing that the drill exerts a 12-N•m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) at A and B, (b) at B and C, (c) at A and C. •A C• B 240 mm 450 mm
4. The rigid link is supported by a pin at A, a steel wire BC having an unstretched length of 300 mm and cross-sectional area of 20 mm², and a short aluminum block having a length of 100 mm under no load and cross-sectional area of 40 mm². If the link is subjected to a vertical force of 550 N as shown, determine the force in wire BC and the aluminum block, and the rotation of the link about pin A. Est = 200 GPa, EA = 70 GPa. 300 mm B 200 mm 550N 250mm D A 250 mm 100 mm
Determine the horizontal and vertical components of force that the pins at A and B exert on the frame. 4.1 The magnitude of the horizontal component Ax at the hinged support A is Blank 1 kN. 4.2 The magnitude of the vertical component Ay at the hinged support A is Blank 2 kN. 4.3 The magnitude of the horizontal component Bx at the hinged support B is Blank 3 kN. 4.4 The magnitude of the vertical component By at the hinged support B is Blank 4 kN.
1. A machine component is subjected to the forces and couples shown. a- Determine the equivalent force-couple system for the given loading condition. b- If the component is to be held in place by a single rivet that can resist a force but not a couple. Determine the location of the rivet hole if it is to be located (i) on line FG, (ii) on line GH. 120 N 240 mm 200 N 70° 15 D Fi 50 mm 42 N-m 80 N 520 mm C 60 N 180 mm Hi 40 N-m G В 50 mm 50 mm 640 mm
In 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.
A machine component is subjected to the forces and couples shown.The component is to be held in place by a single rivet that can resista force but not a couple. For P=0, determine the location of the rivet hole if it is to be located (a) on line FG, (b) on line GH.
A machine component is subjected to the forces and couples shown. The component is to be held in place by a single rivet that can resist a force but not a couple. For P = 0, determine the location of the rivet hole if it is to be located (a) on line FG , (b) on line GH.
Q3) A lug wrench is used to tighten a square-head bolt. If 50-lb forces are applied to the wrench as shown, determine the magnitude F of the equal forces exerted on the four contact points on the 1-in. bolt head so that their external effect on the bolt is equivalent to that of the two 50-lb forces. Assume that the forces are perpendicular to the flats of the bolt head. 50 lb A View C Detail (clearances exaggerated) 14" 50 lb 14" B. Q4) A commercial airliner with four jet engines, each producing 90 kN of forward thrust, is in a steady, level cruise when engine number 3 suddenly fails. Determine and locate the resultant of the three remaining engine thrust vectors. Treat this as a two-dimensional problem. 4 90 kN 9 m 12 m 12 m 90 kN 9 m 90 kN 1 Good luck
The uniform 10 kg rod AB is supported by a ball and socket joint at A and by the cord CG that is attached to the midpoint G of the rod. Knowing that the rod leans against a frictionless vertical wall at B and that the tension in the cord CG, TCG=52.1 N, determine the following a.) Which of the following best shows the equivalent force-couple set at point A of the tension at cord CG, TCG? Choices: a F= -36.8 N i + 24.5 N j - 27.6 N k M = -7.36 Nm i - 11.03 Nm j b F= -36.8 N i + 24.5 N j - 27.6 N k M = -7.36 Nm i - 29.4 Nm k c F= 36.8 N i - 24.5 N j + 27.6 N k M = 7.36 Nm i + 11.03 Nm j d F= 36.8 N i - 24.5 N j + 27.6 N k M = 7.36 Nm i + 29.4 Nm k b.) Which of the following moments is equal to zero? Choices: The moment of the tension in cord CG, TCG about point OThe moment of the tension in cord CG, TCG about point AThe moment of the tension in cord CG, TCG about point BThe moment of the tension in cord CG, TCG about axis AB
Knowing that the radius of each pulley is 130 mm and neglecting friction, external force is 297 N. Determine the internal forces at Points J and K of the frame shown. Solution: 1. FBD for frame and pulleys together: a. There are b. Sum moment about point c. Sum all the horizonal forces to zero, solve that Ax = = d. Sum all the vertical forces to zero, yield that Ay + By 2. FBD for Member AE: a. There are supports on the frame, they are both c. Thus By b. Sum moment about point = a. There are solve that Bx = d. Sum all the horizontal forces to zero, solve that Ex N; direction is pointing to the 3. FBD for AK to determine the internal forces on K: forces/reactions on the member AE, for a 2D body, this is statically a. There are forces/reactions on the AK; b. Sum axial forces to zero, solve that nominal force FK d. Sum moment about point and note that the tension force in the cable on D is c. Sum tangential forces to zero, solve that shear force VK = 4. FBD for BJ to determine the…
The 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).