For each of the six diagrams replace the forces with an equivalent force-couple system at A. Note which, if any, systems are equivalent 5 in. 3 lb 2 lb 3 in. 2 lb 4 lb 6 lb- in. (а) (b) (c)
Q: 1. Determine which of the force systems in (b) through (f) are equivalent to the force-couple system…
A: aFR−Resultant forceFR=10 lbNet moment=50 lb.fttanθ=34θ=37.860 bapplying vector law, we…
Q: 35. The 80-N horizontal force P acts on a bell crank as shown. (a) Replace P with an equivalent…
A:
Q: The force P has a magnitude of 300 N and is applied at the end C of the rod ABC, as shown. Assuming…
A:
Q: Replace the three horizontal forces and applied couple with an equivalent force-couple system at O…
A: Drawing the FBD and showing equivalent force couple system at O:
Q: Determine whether the force-and-couple system shown can be reduced to a single equivalent force R .…
A: The position vector of DA is, The length DA is, The position vector of EA is, The length EA is,
Q: .The couple vectors M1 and M2 represent M2 couples which are contained in the planes M1 2a ABC and…
A: Write the unit vector of the axis of moment M1. u1=2ai+ak2ai+ak=2ai+ak2a2+a2=25i+15k
Q: Practice Problem 3.4.6: Determine the resultant of the three forces if (a) 0 = 30•; and (b) e = 45…
A:
Q: Which of the systems are equivalent to the couple in (a)?
A:
Q: Replace the two couples shown by a single equivalent couple.
A: The single equivalent couple can be calculated by taking moment of al the forces/moments about the…
Q: Replace the couples acting on the system below by one couple with vertical forces at A and B 30 lb…
A:
Q: Q2: Reduce the system of forces and moment shown to an equivalent two forces and couple .system at A
A: Given data Forces acting on beam are 3KN, 2KN, 7 KN Moment = 600 N-m
Q: Example 6: Replace the force and couple system acting on the member shown by an equivalent resultant…
A:
Q: Given a 2-D force system with geometry as shown. Find the magnitude of the equivalent couple moment…
A:
Q: 3.1 Determine which of the force systems in (b) through (f) are equivalent to the force-couple…
A:
Q: force at point C as shown. Replace this force by an equivalent force- couple system at point O.
A:
Q: Consider the diagram below where A = 54 N, B = 121 N and x = 3.5 m. If you are to convert the force…
A:
Q: three forces with an equivalent force-couple system, with the force acting at O
A:
Q: Replace the force-couple system acting on the pipe with an equivalent force-couple system acting at…
A: Given, F=40 lb M=90 lb.ft The coordinates of the points, O0 ft, 0 ft, 0 ftA3 ft, 5 ft, 0 ftB0 ft, 5…
Q: Q4/ Find the value of d of the parallel force system at which the resultant of the two forces acts.…
A: Consider the given figure. Calculate the resultant force acting on the member. Fr=600 N+-650 NFr=-50…
Q: Easy Problem: Determine P and Q so that the their resultant force R are equivalent to a single 2000…
A:
Q: Replace these 3 forces with a single equivalent force R. T2 T3 Show R on a sketch of the eye bolt.
A: Given Data: The magnitude of the first force is, T1=110 lbs. The magnitude of the second force is,…
Q: Please draw the FBD and Solve. Replace the system of forces shown below by an equivalent force…
A:
Q: The force P has a magnitude of 250 N and is applied at the end C of a 500-mm rod AC attached to a…
A:
Q: The two shafts of a speed-reducer unit are subjected to couples of magnitude M1 = 15 lb·ft and M2 =…
A: Write the given data: M1=Mz=15 lb-ft=15 lb-ft k^M2=Mx=3 lb-ft=3 lb-ft i^
Q: 5. The wrench shown is the resultant of a force-couple system with the force acting at point 0.…
A: Given data: F = -6 i + 8 j + 5 k kN C = -18 i + 24 j + 15 k kN m To…
Q: Which of the following force and couple acting on point C is equivalent to the force and couple…
A:
Q: If P = 20 lb in the figure, replace the three couples with a single equivalent couple, specifying…
A:
Q: Replace the system of forces shown below by an equivalent force through O and a couple through A and…
A:
Q: Given a system made of the force F, couple M and distributed loads defined by w1 and w2, find the…
A: To find : The equivalent system at B Given : The Force is F=8 kN The moment is M=5 kN·m The…
Q: Replace the force and the couple shown by an equivalent force-couple system with the force acting at…
A: Given: The forces at A are 80 N and 250 N
Q: (a) Replace the system shown below by a vertical force at D and horizontal force at A and couple.
A: **According to the guidelines we can answer only one question at a time, please re-post the…
Q: The top view of a revolving entrance door is shown. 0.8 m Two persons simultaneously approach the…
A: Given , M= 25 Nm
Q: The two shafts of a speed-reducer unit are subjected to couples of magnitude M1 =15 lb.ft and M2=3…
A: Give data: The couple along x-axis, M2 = 3 lbˑft. The couple along z-axis, M1 = 15 lbˑft.…
Q: by mean of the transformation of a couple replace the 1000 N force of figure by force through A and…
A:
Q: Replace the couples acting on the system below by one couple with vertical forces at A and B 30 lb…
A:
Q: (a) Replace the force system shown with a force-couple system with the force acting at point O. (b)…
A:
Q: Consider the diagram below where A = 61 N, B = 124 N and x = 3 m. If you are to convert the force…
A: Given:- A = 61 N B = 124 N x = 3 m To Find:- Moment of couple transfer
Q: Four forces are applied to the machine component ABDE, as shown. Replace these forces with an…
A: Given:
Q: 2.1. The sum of the horizontal couple 2.2. The sum of the vertical couple 2.3. The resultant…
A:
Q: a) Replace the system shown below by a vertical force at D and horizontal force at A and couple. 340…
A:
Q: Four forces are applied to the machine component ABDE as shown. Replace these forces by an…
A:
Q: Given the image below, what is the force and couple set acting at point A that is equivalent to the…
A:
Step by step
Solved in 3 steps with 3 images
- Find the internal force systems acting on sections 1 and 2.Difficult Problem: If magnitude of MA is 1200 kN – m and the distance between A and B is 3 m, what is the force FB and distance d so that the system shown at the right is equivalent to a force-couple system acting at point D, where the horizontal component of this force is R = 112 kN to the right and the corresponding couple is 635 counterclockwise. 60 kN 30 50 kN 2 m MA 60° 15° 200 kN m 100 kN 4 m Fs 2 m 200 kN 30 60 kN -3 m200 lb 0 400 lb 3 ft 4 ft (a) 300 lb 2 ft 3 ft y For the loaded plate shown, four parallel forces are applied Three of the 4 forces are shown. The fourth force P and its line of action are unknown. The resultant of this force-couple system is only represented by the couple vector CR=-1100i + 1500j lb.ft. Determine the force P and its line of action. 1. Solve this problem algebraically by hand 2. Write a code to solve it arbitrarily. 3. Use part 2 to verify part 1. 4. In your submission include both just the code plus the "run" version of the code to show the results for P
- Determine which of the force systems in (b) through (f) are equivalent to the force-couple system in (a). 3.1 10 Ib 50 lb ft 10 lb 4 ft 5 ft 8 lb 3ft 10 lb 50 lb ft 4 ft 14 lb (a) (b) (c) 10 lb 24 lb ft 6 lb 5 lb 8 lb 80 lb ft 8 lb 8 lb 4 lb 36 lb ft (d) (e) (f) Figure P3.15. A force-couple system is as follows. Note that all dimensions are in ft. Also draw all pertinent diagrams as part of your solution. a. Scenario 1: If the force system shown is to be replaced by a force-couple system consisting of a force acting at A and a clockwise moment equal to 300 lb-ft, what is the magnitude and sense of M,? b. Scenario 2: If M, = 90 lbft counterclockwise, what should be the magnitude, direction, and point of application along AB of a force F that should be added to the system of forces shown if the system is equivalent to a single horizontal 10-lb force acting east at point B? 4.00 150 lb 70 200 lb 80 lb 3.00 3.00 70° 3.00 50 lb 200 lb Ma B 2.00 130 lb 30 Answer: a. M,=269.3083 lb-ft CW b. F= 194.0149 lb, 52.0548° S of W d= 0.3876 ft right of AChoose the following systems that are equivalent to the one shown. Choose all that apply. (Remember conditions for equivalency require the sum of forces to be equal and the sum of moments about on arbitrary point to be equal) 20 lb 50 lb-ft 10 lb OA. B. OC. OD. 2 ft 90 lb-ft 20 lb 2 ft 30 lb 20 lb 2 ft 30 lb 20 lb 2 ft 2 ft 2 ft 5 lb 30 lb 2 ft 30 lb-ft 2 ft 30 lb-ft 2 ft 15 lb 2 ft
- Problem: In the probiem below, distances are specified from left to right. The distance between point B and the force of magnitude P is 0.5 m, distance between force of magnitude P and 4P is 1 m, between the force of 4P and the next identical force of 4P is 1.5 m, between that of the force 4P and 2P ois 1.5 m, and between pin at A and the force of magnitude 2P is 0.5 m. a) Determine the support reactions at A, B and C. b) If the cross section of BC is a square of side 20 mm, determine the average normal stress at any point between B and C. c) Draw the state of stress on a volume element. 111L 4P 2P 30 B A 米 0,5m Im 1.Sm P= 15 KN50° 140 kips 10 in 11 in 10 in A B 20 kips 35 kips 81 kips Inisis nor your Cwn property so do not uNe in any Way as if uere 20 in your own. This is notjour ovn propert so ao not use it in ar way as if it were M1 50° 140 kips your own. The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M1 if the system shown is equivalent to a single force acting at point C. b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in clockwise. If M1 in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force R along line CD. 18 inQuestion #4: Find-an-equipollent-force-passing-through-point-A-and-a-couple-to-replace the combination. of forces-and-moments-in-the-figure-below. A -6 m 20 N 141.4 N -6 m 500 N. m 6 m 50 N
- 4. For the force-couple system as shown, determine the following: Magnitude of the couple moment Mc so that the equivalent system is a single force acting at point P b. a. Point of application of the single equivalent force along line AB if MC is equal to 180 lb-ft counterclockwise. 85 lb 40 ° 100 16 30 lb 15° Mc 35 lb 400 P 1 ft A 85 lb B 1 ft 200 lbThe resultant couple moment for all the forces shown in the figure below is?Practice Problem 3.4.2: The four forces shown act on the rollers of an in-line skate. Determine the equivalent force-couple system, with the force acting at O (the ankle joint of the skater). 3.2 9.5 3.5 4.5- 3.5 18 lb 30 lb 46 Ib 60 Ib