Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3.3, Problem 3.70P
Two 80-N forces are applied as shown to the corners B and D of a rectangular plate. (a) Determine the moment of the couple formed by the two forces by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples. (b) Use the result obtained to determine the perpendicular distance between lines BE and DF.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two 80-N forces are applied as shown to the corners B and D of a rectangular plate. (a) Determine the moment of the couple formed by the two forces by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples. (b) Use the result obtained to determine the perpendicular distance between lines BE and DF.
two parallel 60 N forces are applied as shown to the corners A and C of a 200 mm square plate. Determine the moment of the couple formed by the two forces (a) by multiplying their magnitude by their perpendicular distance , (b) by resolving each force into horizontal and vertical components and adding the moments of the two result ing couples.
please give the solution
120 Rigid Bodies: Equivalent Systems of Forces
3.74 Two parallel 40-N forces are applied to a lever as shown. Deter-
mine the moment of the couple formed by the two forces (a) by
resolving each force into horizontal and vertical components and
adding the moments of the two resulting couples, (b) by using the
perpendicular distance between the two forces, (e) by summing the
moments of the two forces about point A.
20°
40 N
The tw hafts of a sneed-reducer unit are subiected to couples
mag d = 1 Ib I ad M
"couples with a gle quivalent couple, specifts mag-
.ade and the dire
40 N
270 mm
w It, respectiv y. Pplace
its axis.
55°
390 mm
A O
Fig. P3.74
Chapter 3 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 3.1 - 3.1 A crate of mass 80 kg is held in the position...Ch. 3.1 - 3.2 A crate of mass 80 kg is held in the position...Ch. 3.1 - It is known that a vertical force of 200 lb is...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 - 3.6 A 20-lb force is applied to the control rod AB...Ch. 3.1 - 3.7 A 20-lb force is applied to the control rod AB...Ch. 3.1 - Prob. 3.8PCh. 3.1 - Rod AB is held in place by the cord AC. Knowing...Ch. 3.1 - Rod AB is held in place by the cord AC. Knowing...
Ch. 3.1 - 3.11 and 3.12The tailgate of a car is supported by...Ch. 3.1 - 3.11 and 3.12The tailgate of a car is supported by...Ch. 3.1 - 3.13 and 3.14It is known that the connecting rod...Ch. 3.1 - 3.13 and 3.14It is known that the connecting rod...Ch. 3.1 - Prob. 3.15PCh. 3.1 - Prob. 3.16PCh. 3.1 - Prob. 3.17PCh. 3.1 - Prob. 3.18PCh. 3.1 - Prob. 3.19PCh. 3.1 - Prob. 3.20PCh. 3.1 - Before the trunk of a large tree is felled, cables...Ch. 3.1 - The 12-ft boom AB has a fixed end A. A steel cable...Ch. 3.1 - A 200-N force is applied as shown to the bracket...Ch. 3.1 - Prob. 3.24PCh. 3.1 - A 6-ft-long fishing rod AB is securely anchored in...Ch. 3.1 - A precast concrete wall section is temporarily...Ch. 3.1 - In Prob. 3.22, determine the perpendicular...Ch. 3.1 - 3.28 In Prob. 3.24, determine the perpendicular...Ch. 3.1 - 3.29 In Prob. 3.24, determine the perpendicular...Ch. 3.1 - In Prob. 3.25, determine the perpendicular...Ch. 3.1 - In Prob. 3.25, determine the perpendicular...Ch. 3.1 - In Prob. 3.26, determine the perpendicular...Ch. 3.1 - In Prob. 3.26, determine the perpendicular...Ch. 3.1 - Determine the value of a that minimizes the...Ch. 3.2 - 3.35 Given the vectors P = 2i + 3j − k, Q = 5i −...Ch. 3.2 - Form the scalar product B C and use the result...Ch. 3.2 - 3.37 Three cables are used to support a container...Ch. 3.2 - 3.38 Three cables are used to support a container...Ch. 3.2 - Knowing that the tension in cable AC is 280 lb,...Ch. 3.2 - Prob. 3.40PCh. 3.2 - Ropes AB and BC are two of the ropes used to...Ch. 3.2 - Prob. 3.42PCh. 3.2 - The 20-in. tube AB can slide along a horizontal...Ch. 3.2 - Solve Prob. 3.43 for the position corresponding to...Ch. 3.2 - 3.45 Determine the volume of the parallelepiped of...Ch. 3.2 - Prob. 3.46PCh. 3.2 - A crane is oriented so that the end of the 25-m...Ch. 3.2 - 3.48The 25-m crane boom AO lies in the yz plane....Ch. 3.2 - To loosen a frozen valve, a force F with a...Ch. 3.2 - 3.50When a force F is applied to the handle of the...Ch. 3.2 - Prob. 3.51PCh. 3.2 - 3.52 To lift a heavy crate, a man uses a block and...Ch. 3.2 - A farmer uses cables and winch pullers B and E to...Ch. 3.2 - Solve Prob. 3.53 when the tension in cable AB is...Ch. 3.2 - Prob. 3.55PCh. 3.2 - Prob. 3.56PCh. 3.2 - The frame ACD is hinged at A and D and is...Ch. 3.2 - In Prob. 3.57, determine the moment about the...Ch. 3.2 - The triangular plate ABC is supported by...Ch. 3.2 - 3.60The triangular plate ABC is supported by...Ch. 3.2 - A regular tetrahedron has six edges of length a. A...Ch. 3.2 - Prob. 3.62PCh. 3.2 - Prob. 3.63PCh. 3.2 - Prob. 3.64PCh. 3.2 - Prob. 3.65PCh. 3.2 - In Prob. 3.57, determine the perpendicular...Ch. 3.2 - In Prob. 3.58, determine the perpendicular...Ch. 3.2 - In Prob. 3.59, determine the perpendicular...Ch. 3.2 - In Prob. 3.60, determine the perpendicular...Ch. 3.3 - Two 80-N forces are applied as shown to the...Ch. 3.3 - Prob. 3.71PCh. 3.3 - Prob. 3.72PCh. 3.3 - Four pegs of the same diameter are attached to a...Ch. 3.3 - Prob. 3.74PCh. 3.3 - Prob. 3.75PCh. 3.3 - If P = 0 in the figure, replace the two remaining...Ch. 3.3 - 3.77If P = 20 lb in the figure, replace the three...Ch. 3.3 - Prob. 3.78PCh. 3.3 - Prob. 3.79PCh. 3.3 - Shafts A and B connect the gear box to the wheel...Ch. 3.3 - A 500-N force is applied to a bent plate as shown....Ch. 3.3 - Prob. 3.82PCh. 3.3 - Prob. 3.83PCh. 3.3 - A 30-lb vertical force P is applied at A to the...Ch. 3.3 - A worker tries to move a rock by applying a 360-N...Ch. 3.3 - A worker tries to move a rock by applying a 360-N...Ch. 3.3 - The shearing forces exerted on the cross section...Ch. 3.3 - 3.88 A force and a couple are applied as shown to...Ch. 3.3 - Three control rods attached to a lever ABC exert...Ch. 3.3 - A rectangular plate is acted upon by the force and...Ch. 3.3 - While tapping a hole, a machinist applies the...Ch. 3.3 - Prob. 3.92PCh. 3.3 - Replace the 250-kN force P with an equivalent...Ch. 3.3 - A 2.6-kip force is applied at point D of the...Ch. 3.3 - Prob. 3.95PCh. 3.3 - To keep a door closed, a wooden stick is wedged...Ch. 3.3 - A 46-lb force F and a 2120-lbin. couple M are...Ch. 3.3 - Prob. 3.98PCh. 3.3 - 3.99 An antenna is guyed by three cables as shown....Ch. 3.3 - Prob. 3.100PCh. 3.4 - Prob. 3.101PCh. 3.4 - Prob. 3.102PCh. 3.4 - 3.103 Determine the single equivalent force and...Ch. 3.4 - Five separate force-couple systems act at the...Ch. 3.4 - The weights of two children sitting at ends A and...Ch. 3.4 - Three stage lights are mounted on a pipe as shown....Ch. 3.4 - A beam supports three loads of given magnitude and...Ch. 3.4 - A 6 12-in. plate is subjected to four loads as...Ch. 3.4 - 3.109 A 32-lb motor is mounted on the floor. Find...Ch. 3.4 - To test the strength of a 625 500-mm suitcase,...Ch. 3.4 - 3.111 Solve Prob. 3.110, assuming that P = 138...Ch. 3.4 - Prob. 3.112PCh. 3.4 - 3.113 A truss supports the loading shown....Ch. 3.4 - Prob. 3.114PCh. 3.4 - A couple M and the three forces shown are applied...Ch. 3.4 - A machine component is subjected to the forces and...Ch. 3.4 - Prob. 3.117PCh. 3.4 - As follower AB rolls along the surface of member...Ch. 3.4 - A machine component is subjected to the forces...Ch. 3.4 - Two 150-mm-diameter pulleys are mounted on line...Ch. 3.4 - As an adjustable brace BC is used to bring a wall...Ch. 3.4 - In order to unscrew the tapped faucet A, a plumber...Ch. 3.4 - Prob. 3.123PCh. 3.4 - Four forces are applied to the machine component...Ch. 3.4 - A blade held in a brace is used to tighten a screw...Ch. 3.4 - A mechanic uses a crowfoot wrench to loosen a bolt...Ch. 3.4 - Prob. 3.127PCh. 3.4 - Prob. 3.128PCh. 3.4 - Prob. 3.129PCh. 3.4 - Prob. 3.130PCh. 3.4 - A concrete foundation mat of 5-m radius supports...Ch. 3.4 - Prob. 3.132PCh. 3.4 - Three forces of the same magnitude P act on a cube...Ch. 3.4 - A piece of sheet metal is bent into the shape...Ch. 3.4 - Prob. 3.135PCh. 3.4 - Prob. 3.136PCh. 3.4 - Two bolts at A and B are tightened by applying the...Ch. 3.4 - Two bolts at A and B are tightened by applying the...Ch. 3.4 - Prob. 3.139PCh. 3.4 - Prob. 3.140PCh. 3.4 - Prob. 3.141PCh. 3.4 - Prob. 3.142PCh. 3.4 - Replace the wrench shown with an equivalent system...Ch. 3.4 - Prob. 3.144PCh. 3.4 - Show that a wrench can be replaced with two...Ch. 3.4 - Show that a wrench can be replaced with two...Ch. 3 - A 300-N force P is applied at point A of the bell...Ch. 3 - A winch puller AB is used to straighten a fence...Ch. 3 - A small boat hangs from two davits, one of which...Ch. 3 - Prob. 3.150RPCh. 3 - A single force P acts at C in a direction...Ch. 3 - 3.152 A small boat hangs from two davits, one of...Ch. 3 - In a manufacturing operation, three holes are...Ch. 3 - A 260-lb force is applied at A to the rolled-steel...Ch. 3 - The force and couple shown are to be replaced by...Ch. 3 - Prob. 3.156RPCh. 3 - Prob. 3.157RPCh. 3 - While using a pencil sharpener, a student applies...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
What types of polymers are most commonly blow molded?
Degarmo's Materials And Processes In Manufacturing
Locate the centroid of the area. Prob. 9-17
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
A windowmounted air conditioner removes 3.5kJ from the inside of a home using 1.75 kJ work input. How much ener...
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
What is the weight in newtons of an object that has a mass of (a) 8 kg, (b) 0.04 kg, (c) 760 Mg?
Statics and Mechanics of Materials (5th Edition)
A number of common substances are
Some of these materials exhibit characteristics of both solid and fluid beha...
Fox and McDonald's Introduction to Fluid Mechanics
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Knowing that the resultant of the two forces is directed along AB, determine F2.arrow_forward1. Determine the resultant of the parallel forces shown below. Determine also the moments at points A, B, C, D and E. If the resultant is a couple, determine the distance "d" between forces that produced the couple. 200 N 50 N 2m 3m C 1m 2m 100 N 150 Narrow_forward2. The magnitudes, F, and F,, of the forces and all dimensions are given. What is the resultant moment (vector) exerted by the two couples on the assembly shown? 4d 4d F: Fy y 8d Fy 6d F:arrow_forward
- Two 80-N forces are applied as shown to the corners B and D of a rectangular plate. (a) Determine the moment of the couple formed by the two forces by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples. (b) Use the result obtained to determine the perpendicular distance between lines BE and DF.arrow_forward4. Reduce the given loading system to a force-couple system at point A. Then determine the distance x to the right of point A at which the resultant of the three forces acts. gON 72ON 200mm 500 mm 450 mm 1200Narrow_forward1. Determine the resultant of the parallel forces shown below. Determine also the moments at points A, B, C, D and E. If the resultant is a couple, determine the distance "d" between forces that produced the couple. 200 N 50 N 2m в 3m C im 2m 1. A E 100 N 150 Narrow_forward
- 1. 1. Which of the following gives the moment of the 100-N force about the x-axis? 2. Which of the following best valuates the equivalent force-couple set at A of the applied forces 50 N and 100 N? Note: F is the resultant force and C is the resultant couple. 3. Which of the following are the reactions at the support at A? R are force reactions and M are moment reactions.arrow_forwardTwo parallel 40-N forces are applied to a lever as shown. Determine the moment of the couple formed by the two forces (a) by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples, (b) by using the perpendicular distance between the two forces, (c) by summing the moments of the two forces about point A.arrow_forwardHelparrow_forward
- The overhead electric hoist C rides along a track on the horizontal beam AB. In addition to the 500-KN vertical force carried by the hoist, the beam also supports the three vertical forces shown. (a) If x=5m determine the resultant of the four forces carried by the beam. (b) Determine the distance x for which the resultant of the four forces would act at the center of the span AB.arrow_forwardReduce given system to force couple system.then determine distance x to right point of O at which resultant of two forces and couple acts.arrow_forwardReplace the force and the couple shown by an equivalent force-couple system with the force acting at (a) point B; and (b) point Darrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Introduction To Engg Mechanics - Newton's Laws of motion - Kinetics - Kinematics; Author: EzEd Channel;https://www.youtube.com/watch?v=ksmsp9OzAsI;License: Standard YouTube License, CC-BY