3. In the figure below two equal forces are applied to the tap wrench a distance d from the center of rotation. If F = 80 N, and d = 80 cm, what is the resultant moment about the center of rotation in N*m? F d Σ
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- For the ladder in Prob. 6.17, find the internal force system acting on section 2, assuming that x < a/2.ENGINEERING MECHANICS STATICS Example: Determine the resultant couple moment of the three couples acting on the plate in the figure. F = 200 lb %3D F3 = 300 lb -d = 4 ft- F2 = 450 lb A %3D d3 = 5 ft d2 = 3 ft %3D F = 450 lb B. %3D F = 200 lb F3 = 300 lb Solution: 2och nair of counle forot = A rigid system DA is subjected to two forces at point A as shown in the figure below. Given FAB= -0.47i +0.47j - 1.884k (KN) and FAC -2.34i +1.872k (KN). D 4m Z A FAB 4m. 4m FAC B(4,5,0) a) The magnitude of moment caused by force FAB about y-axis is b) The magnitude of moment caused by force FAC about OB is c) The resultant moment due to FAB and FAC about origin O is KN.m and its direction is KN.m and its direction is KN.m
- The following diagram corresponds to questions 1 to 3. A beam rests on two sharp edges as shown on the image. The beam has a length of 7,50 m and a mass of 4,25 kg. Object 1 has a mass of 1,50 kg; object 2 has a mass of 2,35 kg. Point P is 0,50 m form the center of the beam. CG 1. How much is the torque done by object 1 around point P? A. 55,2 N*m B. 7,36 N*m C. 62,5 N*m D. Object 1 doesn't exert a torque. 2. How much is the torque done by the force of gravity of the beam around point P? A. 20,8 N*m N-m ך177 .B C. 156 N*m D. 313 N*m 3. If you needed to cancel the nomal forces of the two objects, where you should place object 2? The axis of rotation is point P. A. 3,30 m from point B. 9,18 m from point P C. 5,69 m from point P D. 3,62 m from point PUntitled Section F1 F2 a C F3 A d F4 Consider the following values: - F5 a 12 m;b 10 m; c 12 m; d = 10 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) 110.8 kN.m b) 88.7 kN.m c) 214.6 kN.m d) 75.9 kN.m e) 25.1 kN.m f) 142.5 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 78.8 kN.m b) 21.7 kN.m c) 341.6 kN.m d) 87.9 kN.m e) 161.1 kN.m f) 175.4 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 425.7 kN.m b) 711.1 kN.m c) 414.6 kN.m d) 139.1 kN.m e) 144.1 kN.m f) 220.4 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 174.8 kN.m b) 822.7 kN.m c) 120.6 kN.m d) 142.9 kN.m e) 217.1 kN.m f) 120.6 kN.m Activate V 5] What is the moment of the force F2 about point E? 69 te Setting ) 74.1 kN.m a) 25.7 kN.m b) 18.1 kN.m c) 54.6 kN.m d) 43.1 kN.m…GO 321 3 in F1 F2 a F3 A d F4 F5 Consider the following values: - a = 25 m; b = 5 m; c = 25 m; d = 5 m; F1 = 7 kN; F2 = 8 kN; F3 = 9 kN; F4 = 10 kN; F5 = 11 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) - 158 kN.m b) 127 kN.m c) 146 kN.m d) - 103 kN.m e) 241 kN.m f) - 171 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 98.8 kN.m b) - 291.7 kN.m c) 311.6 kN.m d) – 264.6 kN.m e) 354.2 kN.m f) - 242.5 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) - 141.1 kN.m c) 14.6 kN.m d) - 272.1 kN.m e) 174.1 kN.m f) - 315.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 117.8 kN.m b) 82.7 kN.m c) 121.9 kN.m d) - 259.9 kN.m e) 127.1 kN.m f) 300.1 kN.m Activate 5] What is the moment of the force F2 about point E? a) 151.7 kN.m b) 118.1 kN.m c) 214.6 kN.m d) 158.6 kN.m e) 101.1 kN.m lo
- HOME WORK 3 Determine the resultant force at A. for the figure below Hint : 1- Find the position of all points A,B,C (x, y, z) 2- Find FAR and FAC 3- Find |raR| and Iracl 4- Find FAR = F UAB and FAC = F UAC 5- Finally find R and a, B,Y 3m Fc= 500N FB= 500N 3m 5m 3m B 4m 2m 5mThe following diagram corresponds to questions 1 to 3. A beam rests on two sharp edges as shown on the image. The beam has a length of 7,50 m and a mass of 4,25 kg. Object 1 has a mass of 1,50 kg; object 2 has a mass of 2,35 kg. Point P is 0,50 m form the center of the beam. d 2 Pl CG 1. How much is the torque done by object 1 around point P? A. 55,2 N*m B. 7,36 N*m С. 62,5 N*m D. Object 1 doesn't exert a torque.F1 F2 a F3 b F4 D Consider the following values: - F5 a 12 m: b 10 m; c = 10 m; d 8 m; F1 = 6 kN; F2 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30°, 6= 45°, B= 60° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 111.6 kN.m b) 112.6 kN.m e) - 184.6 kN.m d) - 109.6 kN.m e) - 104.1 kN.m ) None of them 2] What is the resultant moment of the five forces acting on the rod about point B? a) -95.8 kN.m b) 42.7 kN.m e) 80.9 kN.m e) 51.8 kN.m ) None of them d) 10.9 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 32.6 kN.m b) - 21.1 kN.m c) 17.4 kN.m d) - 16.5 kN.m e) 15.6 kN.m f) None of them A.
- Two forces are acting on the vertical pole, as depicted in the figure and parameter list. Calculate the moment about O for each force. Determine which direction the forces will rotate the pole. 0 BY NO SA 2021 Cathy Zupke parameter L₁ L2 F₁ F₂ 0 e value units 4 ft 10 ft 70 lb 70 70 lb D The moment about O from F₁ The moment about O from F₂ = counterclockwise no moment F₁ L₁ lb-ft lb-ft Choose which direction the pole will tend to rotate: O clockwise O L₂ F₂ 41 5 33 / 5 73% 1-3 3) Find the magnitude and direction of the resultant force and moment at point A 250lb 500lb/ft 4.5 342lb 250lb FORCE e F =F.Cos(e)F, =F.Sin( e) (Ib) ) M =Fxd FORCES COUPLES R= M = RESULTANT FORCE AND MOMENT DIAGRAM A +M -MA R= +X OR = M= étv A Aa WThe force vector F = (ai + bj + ck) kN acts on point A of the system shown in the figure. Bar OB and point B with coordinates B (x, y, 0) m is on the x-y plane. By using the values given to your name in the data table;a) Find the moment at point O in vectorial form,b) Calculate the magnitude of the moment with respect to the rod OB F = {ai + bj + ck} kN A = 60 B = 70 C = 80 Meter L1 = 16 L2 = 6 B (x, y, 0) coordinates (m) x = 16 y = 3