HW3

52 Chapter 2 Force Systems 2/57 When making a left turn, a driver exerts two 1.5-lb forces on a steering wheel as shown. Determine the moment associated with these forces. Discuss the ef- fects of varying the steering-wheel diameter d. Ans. M 24 lb-in. CCW 1.5 lb 35° Ans a 1.5 lb d = 16"

The weight of a 20 lb oven door acts vertically through point D. The door is supported by a hinge at point A and two springs are symmetrically located on each side of the door. The resultant moment about point A of the weight and spring forces is zero. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 8 in. 12 in. 5 in. -10 in.- = Based on the values of Fobtained for a 45° and a 90°, determine the stiffness of the springs. (Round the final answer to four decimal places.) The stiffness of the springs is [ lb/in.

A light fixture of negligible mass, has three applied forces acting on it as shown. |F.| = 4 kN %D 1.2 m 1.2 m 1.2 m 2.8 m |F,| = 6 kN %3D 45 |F| = 5 kN %3D Using the coordinate system shown, determine the moment created by the Force F2 about the point 0. M2 = Mxi + M,J + M,k (Answer in Kilo Newton meters) My Choose.. + Mz Choose... + Mx Choose...

Q.1/The top view of a revolving entrance door is shown. Two persons simultaneously approach the door and exert forces of equal magnitudes as shown. If the resulting moment about the door pivot axis at O is 25 N .m, determine the force maqnitude F. * 15° F 0-6 m 0.6 m 15° 6.8 N O 16.8 N O 21.58 N O 23.8 N O 16.18 N 12.22 N O 18.16 N O 20.49 N O 16.9 N Other:

shown in Fig. Determine 1-The moment of force F3 about point C. 2-The moment of force F2 about point B. 3-The moment of force F1 about point B. F2 = 1.2 kN F3 = 1.6 kN 0.45 B D 0.3m F1 =1 kN 0.15 E 0.45m

96 ll ۹:۳۱ ص i docs.google.com/forms/d/e, Determine the required magnitude of the couple moments M2 and M3 so that the resultant couple moment is zero. M2 45° M3 M = 300 N-m None of above M2= 262 N.m, M3= 400 N.m M2= 452 N.m, M3= 550 N.m M2= 242 N.m, M3= 300 N.m M2= 352 N.m, M3= 480 N.m Send me a copy of my responses. Page 4 of 4

A docs.google.com 10 Design criteria require that the robot exert the 90-N force on the part as shown while inserting a cylindrical part into the circular hole. Determine the moment about points A, B, and C of the force which the part exerts on the robot. * 150 mm 15° 45 P 90 N 60 1 Add file 550 mm 450 mm

Specific Instructions: Solve each problem NEATLY and SYSTEMATICALLY. Show your COMPLETE solutions and BOX your final answers. Express all your answers in 2 decimal places. Thank you © • Determine the force F and direction of the force F that will passed through points K and M to produce a counter-clockwise moment of 720 kN-m at point L as shown below: K 3.5 m 9 m L

5.) If the resultant force (single equivalent force) of the given system is known to pass through point B, what must the magnitude of the applied moment couple M be? Report a positive answer if M must be counterclockwise and a negative answer if M must be clockwise. [Answer: M = -8600 N m] 650 N 30° M -3 m 300 N -5 m- 500 N Ka -2 m- B

52 Chapter 2 Force Systems 2/57 When making a left turn, a driver exerts two 1.5-1lb forces on a steering wheel as shown. Determine the moment associaled with these forces. Discuss the ef- fects of varying the steering-wheel diameter d. Ans. M = 24 lb-in. CCW 1.5 lb 35° 1.5 lb Ans n atit d = 16"-

F1 F2 a F3 A d. F4 Consider the following values: F5 a = 25 m;b = 5 m; c = 25 m; d = 5 m; F1 = 3 kN; F2 = 11 kN; F3 = 2 kN; F4 = 20 kN; F5 = 2 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) - 15.8 kN.m b) 12.7 kN.m c) - 74.6 kN.m d) 52.9 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) 2.7 kN.m c) 31.6 kN.m d) 8.9 kN.m e) 5.4 kN.m ) 24.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 86.7 kN.m b) 51.1 kN.m c) 14.6 kN.m d) 27.9 kN.m e) 74.1 kN.m ) 35.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 17.8 kN.m b) 82.7 kN.m c) - 21.9 kN.m d) 36.9 kN.m e) - 27.1 kN.m f) 30.1 kN.m Activate V 5] What is the moment of the force F2 about point E? Go to Setting ) 321.3 kN.m a) 111.7 kN.m b) 218.1 kN.m c) 254.6 kN.m d) 93.1 kN.m e) 101.1 kN.m bo

The A-frame is being hoisted into an upright position by the vertical force of 62 lb . (Figure 1) Part A Determine the moment of this force about the y axis when the frame is in the position shown. Express your answer to three significant figures and include the appropriate units. ? HA M, = 311.184 lb • ft You have already submitted this answer. Enter a new answer. No credit lost. Try again. Figure 1 of 1 Submit Previous Answers Request Answer Provide Feedback 15 6 ft 30 6 ft

Determine the magnitude of moment (Nm) of the 383-N force about point A if x = 0.55 m , y = 0.69 m, and θ = 41.4ᵒ.  Round off only on the final answer expressed in 3 decimals. Instead of units, type either POSITIVE or NEGATIVE to indicate the direction of moment which is consistent with the sign convention discussed on lectures.   Sample answers are 12.908 POSITIVE  or 12.908 NEGATIVE

Part A Reaction at C Y . What is the y-component of reaction force at point C? (C₂) O 0 lb. O 0lb. O 0 lb. O 0 lb. Submit Request Answer Part B - Magnitude of moment about C What is the magnitude of the x-component of the moment about point C? O 1905.0 lb.ft O 3020.2 lb ft O2764.6 lb. ft O 2323.2 lb ft

University of Misan/ College of Engineering Department of Mechanical Engineering Subject: Engineering Mechanics (Static) Class: 1" Stage Examination: Quiz 2020-2021 Date: 7/2/2020 Examiner: Ass.Lec. Firas Lattef Hussany Time: 1 hours Q1): Determine the moment of the force system of figure below: (a) with respect to point O. (b) with respect to point A. 016 30° 30° -30b 2016 Q2): A telephone cable is clamped at A to the pole AB. Knowing that the tension in the left-hand portion of the cable is T, = 800 lb, determine by trigonometry (a) the required tension T in the right-hand portion if the resultant R of the forces exerted by the cable at A is to be vertical, (b) the corresponding magnitude of R. 25° T T2 II >

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.m

! Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two forces P and Q are applied as shown at point A of a hook support. ट A 20°i 35⁰ Knowing that P = 75 N and Q = 125 N, determine graphically the magnitude and direction of their resultant using the parallelogram law. The magnitude of the resultant is N. The direction of the resultant considering OO' as the reference axis is

Replace the force system acting on the beam by an equivalent resultant force and couple moment at point A. Take F₁ = 380 lb, F₂ = 420 lb, and F3 = 370 lb. https://session.masteringengineering.com/myct/assignmentPrintView?displayMode=studentView&assignmentID=2117927 3/3/23, 3:44 PM Part A Determine the magnitude of the resultant force. Express your answer in pounds to three significant figures. ANSWER: FR = Part B Determine the angle between the resultant force and the axis. Express your answer in degrees to three significant figures. ANSWER: Part C lb ANSWER: (MR) A = Homework 1 B , measured counterclockwise from the positive axis lb-ft 30 in. 12 in. 16 in. 2UT Determine the couple moment at point A Express your answer in pound-feet to three significant figures. Enter positive value if the moment is counterclockwise and negative value if the moment is clockwise. 3 in. 10 in- 14 in. 4/5

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two forces are applied as shown to the corners B and D of a rectangular plate. Given: P=108-N. 300 mm 50° a -500 mm- 50° M= 41.08 N-m (Counterclockwise) event C B 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. (You must provide an answer before moving to the next part.)

F1 F2 a C F3 A d b C a F4 D E Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30° , 0 = 45° , B = 60° F1 = 11 What is the resultant moment of the five forces acting on the rod about noint A? 2] What is the resultant moment of the five forces acting on the rod about point B? 31 What is the resultant moment of the five forces acting on the rod about point C? 4] What is the resultant moment of the five forces acting on the rod about point D? 51 What is the moment of the force F2 about point E? 6] What is the resultant moment of the five forces acting on the rod about point E?

F1 F2 a F3 A d. F4 E Consider the following values: - a = 11 m; b = 6 m; c = 8 m; d = 3 m; F1 = 3 kN; F2 = 11 kN; F3 = 2 KN; F4 = 20 kN; F5 = 2 kN; F5 a = 30° , 0 = 60° ,B= 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) -1.2 kN.m b) 12.7 kN.m c) - 4.6 kN.m d) 22.9 kN.m e) - 14.1 kN.m f) 21.3 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 28.8 kN.m b) 42.7 kN.m c) - 1.6 kN.m d) 10.9 kN.m e) - 1.1 kN.m f) 24.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 63.6 kN.m b) -11.1 kN.m c) 77.4 kN.m d) - 9.1 kN.m e) 24.1 kN.m f) - 85.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 33.6 kN.m b) 83.4 kN.m c) - 1.6 kN.m d) 52.1 kN.m e) 21.1 kN.m f) - 40.1 kN.m 5] What is the moment of the force F2 about point E? a) 80.6 kN.m b) - 8.1 kN.m c) 54.6 kN.m d) 33.1 kN.m e) - 22.1 kN.m f) 28.3 kN.m

The members of the local police team of Bauan, Batangas received a call for assistance in towing an abandoned car which obstructs traffic flow along the public market site. A policeman came on site to respond on the call made. A good Samaritan in an SUV offered the policeman help in moving the said abandoned car. The resultant of the forces they apply is 45kN. The angle that the SUV makes with the horizontal is half more than that of the police car with respect to x-axis. If the towed car shall move steadily in a straight path, what force shall the police car exert to move the car? If the towed car shall move steadily in a straight path, what force shall the SUV exert to move the car?

F1 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.m

Chapter 2, Problem 2/033 A prybar is used to remove a nail as shown. Determine the moment of the 320-N force about the point o of contact between the prybar and the small support block. The moment is positive if counterclockwise, negative if clockwise. 320 N A 10° 340 mm 66° 26 mm Answer: Mo = N-m the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

350 NT 100 mm 50 mm B 150 mm 50 mm If the 350-N force and the couple M in the above figure can be replaced with an equivalent single force at the corner C, determine the moment of the couple. 1.M +49.3 N.m OZ.M=32.5 Nam 3.M=+52.5 N.m 4.M+55.5 N.m

Q2) Machine Curls and the Biceps Muscle. A woman performs seated machine curls to strengthen her biceps muscles (the figure below). She uses a weight of 10 kg. Horizontal distance between her elbows (A) and the bottom of the frictionless pulley (B) is 60 cm. Vertical distance between the same points is 20 cm. Determine the force exerted by the holding bar on the woman's hands when her arm is at 45° with the horizontal. At that moment, the weight has an upward acceleration of 3 m/s2. DB DA 32cm B 20cm AB 45 60cm

F1 F2 a C F3 A F4 D Consider the following values: - F5 a = 16 m; b = 11 m; c = 13 m; d = 8 m; F1 = 3 kN; F2 = 11 kN; F3 = a = 30°, 0 = 60° , B = 30° 2 kN; F4 = 20 kN; F5 = 2 kN; 1] What is the resultant moment of the five forces acting on the rod about point A? a) 88.8 kN.m b) 76.3 kN.m c) 19.6 kN.m d) 55.5 kN.m e) 59.1 kN.m ) 81.3 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 88.8 kN.m b) 120.8 kN.m c) 31.6 kN.m d) 98.9 kN.m e) 41.1 kN.m ) 24.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 125.7 kN.m b) 178.1 kN.m c) 254.6 kN.m d) 439.1 kN.m e) 144.1 kN.m ) 215.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 77.8 kN.m b) 98.3 kN.m c) 100.6 kN.m d) 18.9 kN.m e) 97.1 kN.m ) 60.1 kN.m 5] What is the moment of the force F2 about point E? Activate W a) 122.7 kN.m b) 108.1 kN.m c) 66.6 kN.m d) 83.1 kN.m e) 111.1 kN.m ) 151.3 kN.m Go to Setting

F1 F2 a C F3 A d 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

1% YE lI. A V:rO G د واجب العزوم ثلاثية الا. . . Article 2/8 Problems 81 2/121 A 50-lb force is applied to the control pedal as 2/119 The figure of Prob. 2/101 is shown again here. If the magnitude of the moment of F about line CD is 50 N m, determine the magnitude of F. shown. The force lies in a plane parallel to the xe plane and is perpendicular to BC. Determine the moments of this force about point O and about the shaft OA. Ans F- 228N Ans. M, - -90.6i - 690j - 338k Ib-in MOA = -690 Ib-in. B 0.2 m 0.2 m A 0.2 m 0.4 m Problem 2/119 Representative Problems 2/120 Two 1.2-lb thrusters on the nonrotating satellite are simultaneouely fired ae whown. Compute the mo- ment associated with this couple and state about which satellie axes rutations will begin to occur. 15 50 lb Problem 2/121 2/122 A moment (torque) M applied to the shaft and at- tached arm causes a tension T of 120 Ib applied to A by the restraining cable AB. Determine the mo- ment Mo of the tension about point O. 1.2 lb 20 20…

PROBLEMS 1 - Find the distance ( Y) if the moment of the forces system shown in fig. is equal to ( 12750 N.m) about the point (0) 500 N 70 m 30 ° 120 N 2- The moment of a certain force (F) is ( 180 N.m ) clockwise about (0 ) and ( 90 N. m ) counterclockwise about ( B), if it's moment about (A) is zero , Determine the force ? 3 m B 6 m 6N 3 - Forces of ( 4 N & 6 N) act on the lamina ABCD as shown in fig . Find the total moments of these forces about the point ( O). D 3m 5m 4N 250 N 15 4 - Calculate the moment of the ( 300 N) force on the handle of the monkey wrench about the center of the bolt. 200 mm 30 mm F=60 N 5 - A force F of magnitude 60 N is applied to the gear Determine the moment of F about point o. T100 m

Q2. Choose the correct answer from a-b-c-d. 1- Determine the magnitude and direction of the moment of the force of the movement if the force at A about point P. a- Mp = 1440 NmC b- Mp = 1440 Nm Ɔ 2 m 4 m c- Mp = 600 NmC 13 12 d- Mp = 600 Nm Ɔ 260 N 3- The refrigerator has a weight of 200 lb and a center of gravity at G. Determine the force P required to move it. Will the refrigerator tip or slip? Take H = 0.4. a- P = 80 lb Slips b- P = 75 lb Tips 4 ft 1.5 ft 3 ft c- P = 75 lb Slips d- P = 80 lb Tips 3 ft 3.