Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Question
Chapter 4.8, Problem 136P
To determine
The magnitude of the resultant force and couple moment of the wrench that intersects the x–z plane.
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Replace the three forces acting on the rectangular solid with a wrench. Specify the magnitude of the moment Massociated with the
wrench. Enter a positive number for M if the wrench acts in a positive sense, enter a negative number if it acts in the negative sense.
Specify the (x,y,z) coordinates of the point P in plane ABCD through which the line of action of the wrench passes. Illustrate the wrench
moment and resultant in an appropriate sketch.
25 N
95 mm.
Answers:
M=
y=
55 mm,
29
40 mm
20 N
110 mm.
B
N-m
mm
mm
mm
35 mm
30 N
Apply the moment principle about point B of the 300-N force.
Q-1
Caleulate the magnitude of the moment about the base point O of the 600-N
force in five different ways.
600 N
0-2 Determine the moment of
-875 mm-
the 800-N force about
point A and about point 0.
625 mm
30
F= 800 N
F = 120 N
13
20
Q-3
In stendily turning the water pump, a person exerts
the 120-N force on the handle as shown. Determine
the moment of this force about point O.
150 mm
Ans. Mo-14.74 N-m CW
Chapter 4 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 4.4 - In each case, determine the moment of the force...Ch. 4.4 - In each case, set up the determinant to find the...Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O....Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the resultant moment produced by the...Ch. 4.4 - Determine the resultant moment produced by the...
Ch. 4.4 - Determine the resultant moment produced by the...Ch. 4.4 - Determine the moment of force F about point O....Ch. 4.4 - Prob. 11FPCh. 4.4 - Prob. 12FPCh. 4.4 - Prob. 1PCh. 4.4 - Prove the triple scalar product identity A (B C)...Ch. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Determine the moment about point B of each of the...Ch. 4.4 - The crowbar is subjected to a vertical force of P...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 - Determine the moment of each force about the bolt...Ch. 4.4 - If FB = 30 lb and FC = 45 lb, determine the...Ch. 4.4 - Prob. 11PCh. 4.4 - The towline exerts a force of P = 6 kN at the end...Ch. 4.4 - Prob. 13PCh. 4.4 - The 20-N horizontal force acts on the handle of...Ch. 4.4 - Two men exert forces of F = 80 lb and P = 50 lb on...Ch. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - The tongs are used to grip the ends of the...Ch. 4.4 - Prob. 19PCh. 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 - Old clocks were constructed using a fusee B to...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 - Determine the moment of the force F about point P....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 - Prob. 41PCh. 4.4 - A 20-N horizontal force is applied perpendicular...Ch. 4.4 - Prob. 43PCh. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - Prob. 45PCh. 4.4 - Prob. 46PCh. 4.4 - Prob. 47PCh. 4.4 - Prob. 48PCh. 4.4 - Prob. 49PCh. 4.4 - Prob. 50PCh. 4.4 - Using a ring collar, the 75-N force can act in the...Ch. 4.5 - In each case, determine the resultant moment of...Ch. 4.5 - Prob. 4PPCh. 4.5 - Prob. 13FPCh. 4.5 - Prob. 14FPCh. 4.5 - Determine the magnitude of the moment of the 200-N...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Prob. 17FPCh. 4.5 - Determine the moment of force F about the x, the...Ch. 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 - Prob. 55PCh. 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 - Prob. 58PCh. 4.5 - Prob. 59PCh. 4.5 - Prob. 60PCh. 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 - Prob. 65PCh. 4.5 - Prob. 66PCh. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Prob. 21FPCh. 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 - Prob. 67PCh. 4.6 - Prob. 68PCh. 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 - Prob. 73PCh. 4.6 - Prob. 74PCh. 4.6 - Prob. 75PCh. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Prob. 77PCh. 4.6 - Prob. 78PCh. 4.6 - Two couples act on the frame. If the resultant...Ch. 4.6 - Prob. 80PCh. 4.6 - Two couples act on the frame. If d = 4 ft,...Ch. 4.6 - Prob. 82PCh. 4.6 - If M1 = 180 lb ft, M2 = 90 lb ft, and M3 = 120...Ch. 4.6 - Prob. 84PCh. 4.6 - The gears are subjected to the couple moments...Ch. 4.6 - Determine the required magnitude of the couple...Ch. 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 - In each case, determine the x and y components of...Ch. 4.7 - F-25. Replace the leading system by an equivalent...Ch. 4.7 - F-26. Replace the loading system by an equivalent...Ch. 4.7 - Prob. 27FPCh. 4.7 - Prob. 28FPCh. 4.7 - Prob. 29FPCh. 4.7 - F-30. Replace the loading system by an equivalent...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Prob. 98PCh. 4.7 - Prob. 99PCh. 4.7 - Prob. 100PCh. 4.7 - Replace the loading system acting on the beam by...Ch. 4.7 - Prob. 102PCh. 4.7 - Prob. 103PCh. 4.7 - Prob. 104PCh. 4.7 - Replace the force system acting on the frame by an...Ch. 4.7 - Prob. 106PCh. 4.7 - Prob. 107PCh. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Prob. 109PCh. 4.7 - Prob. 110PCh. 4.7 - Prob. 111PCh. 4.7 - Prob. 112PCh. 4.8 - In each case, determine the x and y components of...Ch. 4.8 - Prob. 7PPCh. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Prob. 32FPCh. 4.8 - Prob. 33FPCh. 4.8 - Prob. 34FPCh. 4.8 - Prob. 35FPCh. 4.8 - Prob. 36FPCh. 4.8 - Prob. 113PCh. 4.8 - Prob. 114PCh. 4.8 - Prob. 115PCh. 4.8 - Prob. 116PCh. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Prob. 118PCh. 4.8 - Prob. 119PCh. 4.8 - Prob. 120PCh. 4.8 - Prob. 121PCh. 4.8 - Prob. 122PCh. 4.8 - Prob. 123PCh. 4.8 - Prob. 124PCh. 4.8 - Prob. 125PCh. 4.8 - Replace the force and couple system acting on the...Ch. 4.8 - If FA = 7 kN and FB = 5 kN, represent the force...Ch. 4.8 - Determine the magnitudes of FA and FB so that the...Ch. 4.8 - Prob. 129PCh. 4.8 - Prob. 130PCh. 4.8 - Prob. 131PCh. 4.8 - If FA= 40 kN and FB = 35 kN, determine the...Ch. 4.8 - If the resultant force is required to act at the...Ch. 4.8 - Prob. 134PCh. 4.8 - Replace the force system by a wrench and specify...Ch. 4.8 - Prob. 136PCh. 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 - Prob. 38FPCh. 4.9 - Prob. 39FPCh. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Prob. 41FPCh. 4.9 - Prob. 42FPCh. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 140PCh. 4.9 - Prob. 141PCh. 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 - Prob. 147PCh. 4.9 - Prob. 148PCh. 4.9 - If the soil exerts a trapezoidal distribution of...Ch. 4.9 - Prob. 150PCh. 4.9 - Prob. 151PCh. 4.9 - Prob. 152PCh. 4.9 - Replace the leading by a single resultant force,...Ch. 4.9 - Prob. 154PCh. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Prob. 156PCh. 4.9 - Prob. 157PCh. 4.9 - Prob. 158PCh. 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 - Prob. 162PCh. 4.9 - Prob. 1RPCh. 4.9 - Replace the force F having a magnitude of F = 50...Ch. 4.9 - Prob. 3RPCh. 4.9 - Prob. 4RPCh. 4.9 - Prob. 5RPCh. 4.9 - Prob. 6RPCh. 4.9 - Prob. 7RPCh. 4.9 - Prob. 8RP
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- Determine the moment of the force about point A as shown in the Figure below.arrow_forwardUse Varignon's method. Determine the moment about point P from the 4 kN force. P 2 m 4 m 30° x 4 kNarrow_forwardThe 6.4-kN force F is applied at point A. (a) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity. (b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero. Assume XA = 0.8 m, yд = 1.2 m, a = 7, b = 11. y, m I 1 A (x, y) F b a -x, marrow_forward
- Replace the force system acting on the post by a resultant force and couple moment at point O. 150 lb 3 5 O 300 lb 30° 2 ft 2 ft 2 ft 200 lbarrow_forwardThe turnbuckle is tightened until the tension in cable AB is 1.1 kN. Calculate the magnitude of the moment about point O of the force acting on point A. 1.4 m 2.3 m 1.3 m 0.9 m Answer: M= kN-marrow_forwardCalculate the moment about point O of the 200-lb force that lies in the X-Y plane shown below. Solve the force into rectangular components at point M. X(-)- Fy Y(+) Y(-) 2'-0" M F 3'-0" 30° F = 200 lb X(+)arrow_forward
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- Determine the moment of the force about point O. (scalar method and vector method)arrow_forwardReplace the three forces acting on the plate by a wrench. Specify the magnitude of the force and couple moment for the wrench and the point P(x, y) where the wrench intersects the plate.arrow_forwardA solid cylindrical shaft anchored to the wall at point O is subjected to 70 N and 85 N couples and a concentrated moment at point E. Determine the resultant couple moment. Hint: You can do this in either of two ways by applying (1) a "scalar" approach by evaluating the individual moments of the x, y, and z components of the 70N and 85N forces, taking positive moments to be in the positive coordinate directions according to the right-hand rule., or (2) the "vector approach" utilizing 3D position vectors using the general cross product definition for the force moment. 70 N 0.8 m 1.2 m 2 6 70 N 1.2 m 0.8 m 9 85 N 12 9 12 -1.2m 1.5m 8 D 85 N C 8 E 200 N·m Xarrow_forward
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