Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3.1, Problem 14P
Determine the moment about the origin O of the force
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Determine the moment about the origin O of the force F= 2i + 3j - 4k that acts at a point A. Assume that the position vector of A is (a) r = 3i + 6j - 45k, (b) r = i+ 4j - 2k, (c) r = 4i - 6j + 8k.
Time
A force F= 120 i + 240 j + 0 k (N) is applied at a point A in the x-y plane with XA 2.3 m. yA 2.6 m and ZA = 0.0 m
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Ma in the x (i) direction (N-m) =
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Chapter 3 Solutions
Statics and Mechanics of Materials
Ch. 3.1 - A 20-lb force is applied to the control rod AB as...Ch. 3.1 - A 20-lb force is applied to the control rod AB as...Ch. 3.1 - A 300-N force P is applied at point A of the bell...Ch. 3.1 - A 400-N force P is applied at point A of the bell...Ch. 3.1 - A 300-N force is applied at A as shown. Determine...Ch. 3.1 - A 300-N force is applied at A as shown. Determine...Ch. 3.1 - 3.7 and 3.8 The tailgate of a car is supported by...Ch. 3.1 - 3.7 and 3.8 The tailgate of a car is supported by...Ch. 3.1 - 3.9 and 3.10 It is known that the connecting rod...Ch. 3.1 - 3.9 and 3.10 It is known that the connecting rod...
Ch. 3.1 - Rod AB is held in place by the cord AC. Knowing...Ch. 3.1 - Prob. 12PCh. 3.1 - Determine the moment about the origin O of the...Ch. 3.1 - Determine the moment about the origin O of the...Ch. 3.1 - Prob. 15PCh. 3.1 - Prob. 16PCh. 3.1 - Prob. 17PCh. 3.1 - A wooden board AB, which is used as a temporary...Ch. 3.1 - Prob. 19PCh. 3.1 - A small boat hangs from two davits, one of which...Ch. 3.1 - Prob. 21PCh. 3.1 - In Prob. 3.16, determine the perpendicular...Ch. 3.1 - In Prob. 3.16, determine the perpendicular...Ch. 3.1 - In Prob. 3.20, determine the perpendicular...Ch. 3.2 - Given the vectors P=3i-j+2k,Q=4i+5j-3k, and...Ch. 3.2 - Prob. 26PCh. 3.2 - Knowing that the tension in cable AC is 1260 N,...Ch. 3.2 - Knowing that the tension in cable AD is 405 N,...Ch. 3.2 - Three cables are used to support a container as...Ch. 3.2 - Three cables are used to support a container as...Ch. 3.2 - The 20-in. tube AB can slide along a horizontal...Ch. 3.2 - Solve Prob. 3.31 for the position corresponding to...Ch. 3.2 - Prob. 33PCh. 3.2 - Prob. 34PCh. 3.2 - Knowing that the tension in cable AB is 570 N,...Ch. 3.2 - Prob. 36PCh. 3.2 - A farmer uses cables and winch pullers B and E to...Ch. 3.2 - Solve Prob. 3.37 when the tension in cable AB is...Ch. 3.2 - To lift a heavy crate, a man uses a block and...Ch. 3.2 - Prob. 40PCh. 3.2 - Prob. 41PCh. 3.2 - Prob. 42PCh. 3.2 - Prob. 43PCh. 3.2 - A sign erected on uneven ground is guyed by cables...Ch. 3.2 - The frame ACD is hinged at and D and is supported...Ch. 3.2 - In Prob. 3.45, determine the moment about the...Ch. 3.2 - Prob. 47PCh. 3.2 - Prob. 48PCh. 3.3 - Two parallel 60-N forces are applied to a lever as...Ch. 3.3 - A plate in the shape of a parallelogram is acted...Ch. 3.3 - Prob. 51PCh. 3.3 - Prob. 52PCh. 3.3 - Four 112-in. -diameter pegs are attached to a...Ch. 3.3 - Prob. 54PCh. 3.3 - Prob. 55PCh. 3.3 - Prob. 56PCh. 3.3 - Replace the two couples shown with a single...Ch. 3.3 - Prob. 58PCh. 3.3 - Shafts A and B connect the gear box to the wheel...Ch. 3.3 - Prob. 60PCh. 3.3 - Prob. 61PCh. 3.3 - The force P has a magnitude of 250 N and is...Ch. 3.3 - Prob. 63PCh. 3.3 - A 260-lb force is applied at A to the rolled-steel...Ch. 3.3 - Prob. 65PCh. 3.3 - A force and couple act as shown on a square plate...Ch. 3.3 - Prob. 67PCh. 3.3 - Prob. 68PCh. 3.3 - Prob. 69PCh. 3.3 - Replace the 150-N force by an equivalent...Ch. 3.3 - Prob. 71PCh. 3.3 - Prob. 72PCh. 3.4 - A 4-m-long beam is subjected to a variety of...Ch. 3.4 - Prob. 74PCh. 3.4 - Determine the single equivalent force and the...Ch. 3.4 - The weights of two children sitting at ends A and...Ch. 3.4 - Prob. 77PCh. 3.4 - Prob. 78PCh. 3.4 - Four forces act on a 700375 -mm plate as shown....Ch. 3.4 - Prob. 80PCh. 3.4 - Prob. 81PCh. 3.4 - A truss supports the loading shown. Determine the...Ch. 3.4 - A machine component is subjected to the forces and...Ch. 3.4 - Solve Prob. 3.83, assuming that P=60N.Ch. 3.4 - Prob. 85PCh. 3.4 - Prob. 86PCh. 3.4 - Prob. 87PCh. 3.4 - Prob. 88PCh. 3.4 - Prob. 89PCh. 3.4 - Assuming e 600 in Prob. 3.89, replace the two...Ch. 3.4 - A blade held in a brace is used to tighten a screw...Ch. 3.4 - Prob. 92PCh. 3.4 - Four signs are mounted on a frame spanning a...Ch. 3.4 - Prob. 94PCh. 3.4 - Prob. 95PCh. 3.4 - Three children are standing on a 55-m raft. The...Ch. 3 - For the shift lever shown, determine the magnitude...Ch. 3 - Consider the volleyball net shown. Determine the...Ch. 3 - A crane is oriented so that the end of the 25-m...Ch. 3 - The 25-m crane boom AO lies in the yz plane....Ch. 3 - A single force P acts at C in a direction...Ch. 3 - While tapping a hole, a machinist applies the...Ch. 3 - A 500-N force is applied to a bent plate as shown....Ch. 3 - Prob. 104RPCh. 3 - Prob. 105RPCh. 3 - Prob. 106RPCh. 3 - Prob. 107RPCh. 3 - A regular tetrahedron has six edges of length a. A...
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- The moment of the force F=1440-lb about the point O in Cartesian vector form is. F 1 ft> 4 ft' 2 ft 4 ft. Select one: O a. Mo = 2400j – 4800k а. O b. Mo = -200j + 400k O c. Mo = -200j – 400k O d. Mo = 200j + 400karrow_forwardThe line of action of force F passes through points A and D. Find the component of the moment of force F about axis BC, given: F = 300 N, AX = 7 m, AY = 9 m, AZ = 9 m, BX = 6 m, BY = 6 m, BZ = 6 m, CX = 8 m, CY = 10 m, CZ = 9 m, DX = 4 m, DY = 5 m, DZ = 4 marrow_forwardTwo forces act on the rod shown in Fig. 4-15a. Determine the resultant moment they create about the flange at O. Express the result as a Cartesian vector. F, =1-601 +40j + 20k) Ib 2 ft 4 ft B 5 t F; = (80i + 40j - 30k} lb t. (b) (a)arrow_forward
- F1 F2 a F3 A d. F4 E Consider the following values: - F5 a = 25 m;b = 5 m; c = 25 m; d = 5 m3; F1 = 5 kN; F2 = 6 kN; F3 = 7 kN; F4 8 kN; F5 9 kN; a = 30° , 0 = 60° , B = 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 78.4 kN.m b) 82.7 kN.m c) - 54.6 kN.m d) 92.9 kN.m e) 24.1 kN.m f) - 47.1 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 8.8 kN.m b) - 201.6 kN.m c) 131.6 kN.m d) - 128.9 kN.m e) 215.4 kN.m f) - 144.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 186.7 kN.m b) 211.1 kN.m c) -209.1 kN.m d) 127.9 kN.m e) -174.1 kN.m f) 35.3 kN.marrow_forwardGiven: F1={9 i - 9 j+ 10 k}lb F2={-10 i+10 j+ 10 k}lb Find: the Magnitude of the Resultant moment in (Ib.ft) generated by the forces about point O. 4 ft 5 ft 3 ftarrow_forwardmy choice The moment of the force F=720-lb about the point O in Cartesian vector form is. 1 ft B 4 ft 2 ft AC A 4 ft Select one:arrow_forward
- The moment of the force F=960-lb about the point O in Cartesian vector form is. F 1 ft 4 ft 2 ft A 4 ft. Select one: O a. Mo = 1600j – 3200k O b. Mo = -200j + 400k %3D O c. Mo = -200j - 400k %3D O d. Mo = 200j + 400k %3Darrow_forwardY. -5 m 100 N 100 N -5 m 1. DETERMINE THE MOMENTS OF THE TWO FORCES ABOUT X, Y, AND Z AXES SHOWN IN THE FIGURE 3 marrow_forwardQ: 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 degreearrow_forward
- The moment of the force F=180-lb about the point O in Cartesian vector form is. 1 ft 4 ft 2 ft 4 ft. Select one: O a. Mo = 300j – 600OK O b. Mo = -200j + 400k O . Mo = -200j – 400k O d. Mo = 2003 + 400karrow_forwardHome works for group A F4-1. Determine the moment of the force about point O. 600 lb 20° \0.5 ft 5 ft 30 F4-1arrow_forwardF1 F2 a F3 A d C. F4 Consider the following values: - F5 a 25 m; b = 5 m; c = 25 m; d 5 m; F1 = 5 kN; F2 = 6 kN; F3 = 7 kN; F4 = 8 kN; F5 = 9 kN; a = 30° 0 = 60° B = 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 78.4 kN.m b) 82.7 kN.m c) - 54.6 kN.m d) 92.9 kN.m e) 24.1 kN.m f) - 47.1 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 8.8 kN.m b) - 201.6 kN.m c) 131.6 kN.m d) - 128.9 kN.m e) 215.4 kN.m f) - 144.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 186.7 kN.m b) 211.1 kN.m c) -209.1 kN.m d) 127.9 kN.m e) -174.1 kN.m f) 35.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 217.8 kN.m b) 82.7 kN.m c) 121.9 kN.m d) – 200.7 kN.m e) 227.1 kN.m f) - 300.1 kN.m 5] What is the moment of the force F2 about point E? a) 191.7 kN.m b) - 228.1 kN.m c) 294.6 kN.m d) 93.1 kN.m e) 118.9 kN.m f) 321.3 kN.marrow_forward
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How to balance a see saw using moments example problem; Author: Engineer4Free;https://www.youtube.com/watch?v=d7tX37j-iHU;License: Standard Youtube License