International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Textbook Question
Chapter 3, Problem 3.12P
When the three forces are replaced by an equivalent force-couple system with the force at point O, the couple
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Determine the force-couple system acting at point 0.
Replace the three forces shown by an equivalent force-couple
system at point A. If the forces are replaced by a single resultant
force, determine the distance d below point A to its line of action.
Answers:
R= i
M= i
160 N
290 N
d =
Single resultant force.
i
www
Force-couple system at A. The force is positive if to the right, and
the couple is positive if counterclockwise.
300 N
650 mm
650 mm
650 mm
N
N.m
mm
Replace the three horizontal forces and applied couple with an equivalent force-couple system at O by specifying the resultant R
and couple Mo. Next, determine the equation for the line of action of the stand-alone resultant force R.
^1.2 m
1.2 m
/0.6
0.4 m
5 kN
m
0.9 m
62°
10 kN-m
11 kN
9 kN
0.4 m
Chapter 3 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 3 - Determine which of the force systems in (b)...Ch. 3 - Replace the force system acting on the beam by an...Ch. 3 - Replace the force system with an equivalent...Ch. 3 - The four forces shown act on the rollers of an...Ch. 3 - Replace the three forces with an equivalent...Ch. 3 - The force system acting on the machine part is...Ch. 3 - The three forces are perpendicular to the...Ch. 3 - Replace the three forces acting on the...Ch. 3 - When the three forces acting on the...Ch. 3 - Represent each of the force systems with a...
Ch. 3 - A worker applies the forces P=8i+10jlb and Q=8ilb...Ch. 3 - When the three forces are replaced by an...Ch. 3 - Replace the two forces and a couple acting on the...Ch. 3 - The shaft-and-pulley assembly ABCD is driven by...Ch. 3 - Replace the force and the couple with an...Ch. 3 - Determine the resultant force R and its line of...Ch. 3 - The 3200-1b weight is supported by two cables....Ch. 3 - The resultant of the three concurrent forces...Ch. 3 - The overhead electric hoist C rides along a track...Ch. 3 - Determine the resultant of the two forces and the...Ch. 3 - Determine the resultant of the force system shown.Ch. 3 - Determine the resultant of the three forces if (a)...Ch. 3 - Determine the resultant of the force system acting...Ch. 3 - Determine the resultant of the forces shown.Ch. 3 - The resultant of the three forces is a force R...Ch. 3 - The resultant of the four belt tensions and the...Ch. 3 - The resultant of the three forces shown is a...Ch. 3 - The resultant of the three forces is the force...Ch. 3 - The bar AB, which is inclined at the angle to the...Ch. 3 - The values of Fz,Mx, and My for three force...Ch. 3 - State whether the resultant of each force system...Ch. 3 - Determine the resultant of the three cable...Ch. 3 - The resultant of the three cable tensions acts...Ch. 3 - The resultant of the three forces acting along the...Ch. 3 - The resultant of the four forces that act on the...Ch. 3 - Determine the resultant R of the three forces...Ch. 3 - Find the resultant of the three forces acting on...Ch. 3 - The resultant of the forces P1,P2, and the couple...Ch. 3 - Find the resultant of the two forces and the...Ch. 3 - Determine the resultant of the force system acting...Ch. 3 - The wrench shown is the resultant of a...Ch. 3 - Determine the resultant of the four forces.Ch. 3 - The force-couple system acting at O is equivalent...Ch. 3 - The force-couple system consists of the force...Ch. 3 - (a) Replace the force system shown by an...Ch. 3 - During a storm, wind exerts a pressure of 110N/m2,...Ch. 3 - Water pressure acting on the vertical wall of the...Ch. 3 - Determine the resultant of the line load acting on...Ch. 3 - Determine the resultant of the line load acting on...Ch. 3 - Determine the resultant of the line loads acting...Ch. 3 - Find the resultant of the distributed load acting...Ch. 3 - Determine the resultant of the uniformly...Ch. 3 - The figure shows the water pressure acting on the...Ch. 3 - The water pressure acting on a masonry dam varies...Ch. 3 - The concrete pier is subjected to soil pressure...Ch. 3 - Find the resultant of the three forces acting on...Ch. 3 - The resultant of the force system shown is a...Ch. 3 - Determine the resultant of the three forces acting...Ch. 3 - The five forces act at end A of the boom....Ch. 3 - Find the resultant of the distributed load acting...Ch. 3 - Determine the resultant of the line loads acting...Ch. 3 - Replace the force system shown with an equivalent...Ch. 3 - The center of gravity of the 30-lb square plate is...Ch. 3 - Determine the resultant of the force system shown.Ch. 3 - Find the x- and y-coordinates of the point where...Ch. 3 - Replace the force system acting on the pipe with...Ch. 3 - Replace the coplanar force system that acts on the...Ch. 3 - Determine the magnitude of the resultant of the...Ch. 3 - Determine the wrench that is equivalent to the...Ch. 3 - The resultant of the three cable tensions acting...
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- The tensions in the cables supporting the pole are T1=T2=T3=60kN. Replace the cable tensions with an equivalent force-couple system with the force acting at O. Express your answer in vector form.arrow_forwardThe force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.arrow_forwardDetermine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.arrow_forward
- Determine the equivalent force-couple system at the origin O for each of the three cases of forces being applied along the edges of a regular hexagon of width d. If the result ant can be so expressed, replace this force-couple system with a single force: F F (a) (b) (e)arrow_forwardReplace the three forces shown by an equivalent force-couple system at point A. If the forces are replaced by a single resultant force, determine the distance d below point A to its line of action. 180 N 570 mm 570 mm 570 mm 280 N Answers: Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. R- i N M=₁ Single resultant force. 180 N N-m mmarrow_forwardFor the system of forces shown, find the equivalent force-couple system at A. If a single equivalent force were to act at D, determine the length from B to D. Note that based on the figure, since there is no given angle for the 150 N force, the manner of 120 N 100 N 60 N B 1m 270 N-m 150 N 120 N D 1 m 0.5 m 0.5 m 2 m which the distance is indicated in the figure suggests that the 150 N force is perpendicular to the 30° arm of the bar system. A 30°arrow_forward
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