3.72 A multiple-drilling machine is used to drill simultaneously six holes in the steel plate shown. Each drill exerts a clockwise couple of magnitude 40 lb-in. on the plate. Determine an equivalent couple formed by the smallest possible forces acting (a) at A and C, (b) at A and D, (c) on the plate. A 12 in. C - 9 in. 16 in.- D B

3.72 A multiple-drilling machine is used to drill simultaneously six holes in the steel plate shown. Each drill exerts a clockwise couple of magnitude 40 lb-in. on the plate. Determine an equivalent couple formed by the smallest possible forces acting (a) at A and C, (b) at A and D, (c) on the plate. A 12 in. C - 9 in. 16 in.- D B

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...

See similar textbooks

Similar questions

2)The 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. 6 lb-in. 6 lb-in. 15 in. | 11 lb 20 in. 10 lb В (A 12
In opening a door which is equipped with a heavy- duty return mechanism, a person exerts a force P of magnitude 8 lb as shown. Force P and the normal n to the face of the door lie in a vertical plane. Ex- press P as a vector and determine the angles 0, 0y, and 0, which the line of action of P makes with the positive x-, y-, and z-axes. 40" P. 30° y 20°
60 lb 9 in. 40 lb -12 in.- BI 40 lb 60 lb PROBLEM 3.73 Four pegs of the same diameter are attached to a board as shown. Two strings are passed around the pegs and pulled with the forces indicated. Determine the diameter of the pegs knowing that the resultant couple applied to the board is 1132.5 lb-in. counterclockwise.
2. A frame shown is supported by a roller support at A and a hinge support at C. Determine an equivalent force-couple system of the loading shown at the origin O. 6 kN/m 3 kN-m' 2.5 m 4 kN/m 5 m -4.5 m-
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. Pia D2 74 A 450 mm B Page 132 240 mm
1. Replace the assigned forces by a single force R at the rotation axis O.Determine:(a) the corresponding magnitude of R(b) the angle of R with respect to x-axis(c) the rotation of couple M2. from your answer above replace the force couple system by a single force.(a) Transmit the “tail” of the resultant R in the x-axis and determine the distance from tail to point O.(b) Transmit the “tail” of the resultant R in the y-axis and determine the distance from tail to point O. FORCES: F2=2N, F3=3N, F6=6N, F8=8N DEGREE: B=20, C=25 REFER TO THE IMAGE
1. Replace the assigned forces by a single force R at the rotation axis O.Determine:(a) the corresponding magnitude of R(b) the angle of R with respect to x-axis(c) the rotation of couple M2. from your answer above replace the force couple system by a single force.(a) Transmit the “tail” of the resultant R in the x-axis and determine the distance from tail to point O.(b) Transmit the “tail” of the resultant R in the y-axis and determine the distance from tail to point O. SOLVE F2=2N, F3=3N, F6=6N, F8=8N --> FORCE DEGREE: a=10, b=20, c=25, d=30 REFER TO THE IMAGE FIGURE
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).
PROBLEM 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 in
2.81 The steering column of the rack-and-pinion steering mechanism lies in the z-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 Facting at A and B. If the resultant couple acting on the steering mechanism is zero, determine Fand the angle e (the magnitude and direction of the bearing reactions). 3N-m 360 mm 1.8N-m 1.8 N-m Figure P2.81
Problem (1):-Determine the resultant of coplanar force system of the fig.( 1) and locate it with respect to point (A). 90N 100N .m 2m 3m 90N 200N 3m 4 4m 3 4m 3m Fig.(1) Problem2 / Determine the resultant of the force system of the fig. (2) and locate it with respect to point (A). 200N 360N 3m 500N 3 2m A 200N im 5m Fig.(2) Problem 3/ Determine the resultant of the resultant of the force system shown in fig.(3) and locate it with respect to point (A). 4m 5m 3m l, 4m 40N 30N 20 N Fig.(3)
The magnitude of the moment produced by force F about segment AB of the pipe assembly is equal to.