INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 4.4, Problem 45P
A force F = {6i − 2j + 1k}kN produces a moment of M0 = {4i + 5j −14k}kN·m about the origin point O. If the force acts at a point having an x coordinate of x = 1m, determine the y and z coordinates. Note: The figure shows F and MO is an arbitrary position.
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Part A
If F, = {115i - 125j + 90k) lb and F2 = {-220i + 280j + 120k} lb, determine the resultant moment produced by these
forces about point O. Express the result as a Cartesian vector. (Figure 1)
Enter the r, y and z components of the moment of force separated by commas.
V AEO vec
Mo =
Ib - ft
Figure
< 1 of 1
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4 ft
3 ft
aring
ons
If F = 8 kN and FB = 5 kN, find the resultant force,
find the components of the moment about point o,
represent the force system by a single resultant force,
and specify its location on the z-y plane
(Figure 1).
1 of 1
Figure
150 mm.
100 mm
6 kN
650 mm
X
FB
750 mm
600 mm
F₁
8 kN
700 mm
150 mm
100 mm
>
Q: Represent the resultant of the three forces and one couple by an
equivalent force R at A and a couple M. find M and the magnitude and
direction ofR*
-30
400 lb
3'
1000 lb-ft
A
B
800 lb
6'-
300 lb
O R=677N, M-1131 ib-ft, theta= 41.2 degree
O R=675N, M=1136 ib-ft, theta= 42.2 degree
R=676N, M=1132 ib-ft, theta= 40.2 degree
Chapter 4 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Ch. 4.4 - P41. In each case, determine the moment of the...Ch. 4.4 - P42. In each case, set up the determinant to find...Ch. 4.4 - F41. Determine the moment of the force about point...Ch. 4.4 - F42. Determine the moment of the force about point...Ch. 4.4 - F43. Determine the moment of the force about point...Ch. 4.4 - Neglect the thickness of the member.Ch. 4.4 - F45. Determine the moment of the force about point...Ch. 4.4 - F46. Determine the moment of the force about point...Ch. 4.4 - F47. Determine the resultant moment produced by...Ch. 4.4 - F48. Determine the resultant moment produced by...
Ch. 4.4 - F49. Determine the resultant moment produced by...Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - If A, B, and D are given vectors, prove the...Ch. 4.4 - Prove the triple scalar product identity A (B C)...Ch. 4.4 - Given the three nonzero vectors A, B and C, show...Ch. 4.4 - Determine the moment about point A of each of the...Ch. 4.4 - Determine the moment about point B of each of the...Ch. 4.4 - Find the moment of each force about point A and...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Take FB = 40 lb, FC = 50 lb. Probs. 49/10Ch. 4.4 - If FB = 30 lb and FC = 45 lb, determine the...Ch. 4.4 - What is this moment?Ch. 4.4 - If x = 10 m, determine the position of the boom...Ch. 4.4 - What is the moment of this force about point B....Ch. 4.4 - Determine the moment of this force about point O....Ch. 4.4 - Determine the moment of each force about A. Which...Ch. 4.4 - If the man at B exerts a force of P = 30 lb on his...Ch. 4.4 - The mechanic reads the torque on the scale at B....Ch. 4.4 - Determine the torque (moment) MP that the applied...Ch. 4.4 - The tongs are used to grip the ends of the...Ch. 4.4 - The handle of the hammer is subjected to the force...Ch. 4.4 - In order to pull out the nail at B, the force F...Ch. 4.4 - The purpose of the fusee is to increase the...Ch. 4.4 - The tower crane is used to hoist the 2-Mg load...Ch. 4.4 - The tower crane is used to hoist a 2-Mg load...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - Determine the moment of the force F about point O....Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 4.4 - The force F = {400i 100j 700k} lb acts at the end...Ch. 4.4 - Determine the moment of the force F about point P....Ch. 4.4 - The pipe assembly is subjected to the force of F =...Ch. 4.4 - The pipe assembly is subjected to the force of F =...Ch. 4.4 - Determine the moment of the force of F = 600 N...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Determine the coordinate direction angles , , of...Ch. 4.4 - Determine the moment of force F about point O. The...Ch. 4.4 - Determine the moment of the force F about the door...Ch. 4.4 - Determine the moment of the force F about the door...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - A 20-N horizontal force is applied perpendicular...Ch. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - A force F = {6i 2j + 1k}kN produces a moment of...Ch. 4.4 - The force F = {6i + 8j + 10k}N creates a moment...Ch. 4.4 - A force F having a magnitude of F = 100N acts...Ch. 4.4 - Force F acts perpendicular to the inclined plane....Ch. 4.4 - Force F acts perpendicular to the inclined plane....Ch. 4.4 - Strut AB of the 1-m-diameter hatch door exerts a...Ch. 4.4 - Using a ring collar, the 75-N force can act in the...Ch. 4.5 - P43. In each case, determine the resultant moment...Ch. 4.5 - P44. In each case, set up the determinant needed...Ch. 4.5 - F413. Determine the magnitude of the moment of the...Ch. 4.5 - F414. Determine the magnitude of the moment of the...Ch. 4.5 - Prob. 15FPCh. 4.5 - F416. Determine the magnitude of the moment of the...Ch. 4.5 - Express the result as a Cartesian vector.Ch. 4.5 - Prob. 18FPCh. 4.5 - The lug nut on the wheel of the automobile is to...Ch. 4.5 - Solve Prob. 4-52 if the cheater pipe AB is slipped...Ch. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.5 - Determine the magnitude of the moments of the...Ch. 4.5 - Determine the moment of this force F about an axis...Ch. 4.5 - The board is used to hold the end of a four-way...Ch. 4.5 - The board is used to hold the end of a four-way...Ch. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - A horizontal force of F = {50i} N is applied...Ch. 4.5 - Determine the magnitude of the horizontal force F...Ch. 4.5 - The force of F = 30 N acts on the bracket as...Ch. 4.6 - F419. Determine the resultant couple moment acting...Ch. 4.6 - F420. Determine the resultant couple moment acting...Ch. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Determine the couple moment acting on the beam.Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the couple moment acting on the pipe...Ch. 4.6 - A clockwise couple M = 5 N m is resisted by the...Ch. 4.6 - A twist of 4 N m is applied to the handle of the...Ch. 4.6 - If the resultant couple of the three couples...Ch. 4.6 - Two couples act on the beam. If F = 125 lb,...Ch. 4.6 - Two couples act on the beam. Determine the...Ch. 4.6 - Determine the magnitude of the couple forces F so...Ch. 4.6 - The ends of the triangular plate are subjected to...Ch. 4.6 - The man tries to open the valve by applying the...Ch. 4.6 - If the valve can be opened with a couple moment of...Ch. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Two couples act on the beam as shown. If F = 150...Ch. 4.6 - Two couples act on the beam as shown. Determine...Ch. 4.6 - Two couples act on the frame. If the resultant...Ch. 4.6 - Two couples act on the frame. If d = 4 ft...Ch. 4.6 - Two couples act on the frame. If d = 4 ft,...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - If M1 = 180 lb ft, M2 = 90 lb ft, and M3 = 120...Ch. 4.6 - Determine the magnitudes of couple moments M1, M2,...Ch. 4.6 - The gears are subjected to the couple moments...Ch. 4.6 - Prob. 86PCh. 4.6 - Determine the resultant couple moment of the two...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - In order to turn over the frame, a couple moment...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - If the couple moment acting on the pipe has a...Ch. 4.6 - If F = 80 N, determine the magnitude and...Ch. 4.6 - If the magnitude of the couple moment acting on...Ch. 4.6 - Express the moment of the couple acting on the rod...Ch. 4.6 - If F1 = 100 N, F2 = 120 N, and F3 = 80 N,...Ch. 4.6 - Prob. 96PCh. 4.7 - P45. In each case, determine the x and y...Ch. 4.7 - Replace the leading system by an equivalent...Ch. 4.7 - Prob. 26FPCh. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Replace the force system acting on the beam by an...Ch. 4.7 - Replace the force system acting on the beam by an...Ch. 4.7 - Replace the loading system acting on the beam by...Ch. 4.7 - Replace the loading system acting on the post by...Ch. 4.7 - Replace the loading system acting on the post by...Ch. 4.7 - Replace the force system acting on the post by a...Ch. 4.7 - Replace the force system acting on the frame by an...Ch. 4.7 - The forces F1 = {4i + 2j 3k) kN and F2 = {3i 4j...Ch. 4.7 - A biomechanical model of the lumbar region of the...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Replace the loading by an equivalent resultant...Ch. 4.7 - Replace the force of F = 80 N acting on the pipe...Ch. 4.7 - The belt passing over the pulley is subjected to...Ch. 4.7 - The belt passing over the pulley is subjected to...Ch. 4.8 - P46. In each case, determine the x and y...Ch. 4.8 - P47. In each case, determine the resultant force...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading shown by an equivalent single...Ch. 4.8 - Replace the loading shown by an equivalent single...Ch. 4.8 - The weights of the various components of the truck...Ch. 4.8 - The weights of the various components of the truck...Ch. 4.8 - Prob. 115PCh. 4.8 - Prob. 116PCh. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Replace the loading on the frame by a single...Ch. 4.8 - Replace the loading on the frame by a single...Ch. 4.8 - Replace the loading on the frame by a single...Ch. 4.8 - Replace the force system acting on the post by a...Ch. 4.8 - Replace the force system acting on the post by a...Ch. 4.8 - Replace the parallel force system acting on the...Ch. 4.8 - Replace the force and couple system acting on the...Ch. 4.8 - Replace the force and couple system acting on the...Ch. 4.8 - Prob. 127PCh. 4.8 - Determine the magnitudes of FA and FB so that the...Ch. 4.8 - The tube supports the four parallel forces....Ch. 4.8 - The building slab is subjected to four parallel...Ch. 4.8 - The building slab is subjected to four parallel...Ch. 4.8 - If FA= 40 kN and FB = 35 kN, determine the...Ch. 4.8 - Prob. 133PCh. 4.8 - Replace the two wrenches and the force, acting on...Ch. 4.8 - Replace the force system by a wrench and specify...Ch. 4.8 - Replace the five forces acting on the plate by a...Ch. 4.8 - Replace the three forces acting on the plate by a...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Currently eighty-five percent of all neck injuries...Ch. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Replace this loading by an equivalent resultant...Ch. 4.9 - The distribution of soil loading on the bottom of...Ch. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Determine the length b of the triangular load and...Ch. 4.9 - The form is used to cast a concrete wall having a...Ch. 4.9 - Prob. 149PCh. 4.9 - Replace the loading by an equivalent force and...Ch. 4.9 - Prob. 151PCh. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the leading by a single resultant force,...Ch. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Prob. 155PCh. 4.9 - Determine the length b of the triangular load and...Ch. 4.9 - Determine the equivalent resultant force and...Ch. 4.9 - Determine the magnitude of the equivalent...Ch. 4.9 - The distributed load acts on the shaft as shown....Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 161PCh. 4.9 - Wet concrete exerts a pressure distribution along...Ch. 4.9 - and mass center at G. If the maximum moment that...Ch. 4.9 - R42. Replace the force F having a magnitude of F =...Ch. 4.9 - Determine the moment of this force about the...Ch. 4.9 - Determine the magnitude of the couple forces so...Ch. 4.9 - Prob. 5RPCh. 4.9 - R46. Replace the force system acting on the frame...Ch. 4.9 - Determine the equivalent resultant force and...Ch. 4.9 - R48. Replace the distributed loading by an...
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