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- The magnitude of the force F is 55 lb. Calculate the moment of F about the x-axis using (a) the scalar method; and (b) the vector method.arrow_forwardDetermine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector method using rF; (b) scalar method using rectangular components of F; and (c) scalar method using components of F that are parallel and perpendicular to the line OA.arrow_forwardThe force F=2i12j+5klb acts along the line AB. Recognizing that the moment of F about point B is zero, determine the x- and z-coordinates of point B.arrow_forward
- Find the resultant force vector,R, of the three vectors A,B, and C (i.e., add the vectors), if the magnitude of vector A is 10N, the magnitude of vector B is 17N, and the magnitude of vector C is 9N. Your answer should be in the form R = Rx i+ Ry j, where you determine Rx and Ry, and where i, and j are the unit vectors along the x, and y axis, respectively. YA В A 60° 45°arrow_forward2 :س B 15 m 1.5 m P= 0.8 kN T-1.2 kN 3 m 2 m 01.5 m 3 m Determine the x-, y-, and z- components of T. Determine the angles which the line of action of T forms with the positive x-, y-, and z-axes. Calculate the projection of P onto a line between A and F and determine the angle between P and AF. Determine the vector expression for the moment of P about point E. اضف ملفarrow_forwardDetermine the magnitude and direction of the resultant of the following forces: 50 N at 50 degrees,60 N at 120 degrees,40 N at 220 degrees,30 N at 330 degrees. All angles are measure from the positive x-axis. Use the component method. Select one: a. 75 N: 42º b. 50 N: 87º c. 54 N: 87º d. 101 N: 89ºarrow_forward
- Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 0x which V makes with the positive x-axis. Complete both graphical and algebraic solutions. Assume a = 2, b = 4, V₁ = 15 units, V₂ = 19 units, and 0 = 66°. V/₂ V Determine the magnitude of the vector difference V = V₂-V₁ and the angle 8x which V' makes with the positive x-axis. Complete both (a) graphical and (b) algebraic solutions. Assume a = 3,b= 7, V₁ = 12 units, V₂ = 16 units, and 0 = 59° Varrow_forwardExpress torce F2 in Cartesian vector form. 2 m 3 m F2= 50 kN 1 m 1 m F =30 kNarrow_forward2. A cleat on a boat is used to support forces from three ropes as shown. Determine the resultant force vector R, using Cartesian representation, and determine the magnitude R. Also, express R in polar vector representation. F2 = 200 N F1 = 400 N 40° F3 = 100 N 12 30°arrow_forward
- 9. Express the force F= 1200 N in Cartesian vector form. 4 m m F = 900 N 2 m B 2marrow_forwardCompute the direction and magnitude of the resultant of the following system of coplanar and concurrent forces: 20 N, 40 N, 25 N, 42 N, and 12 N making an angle of 30°, 120°, 180°, 270°, and 315°, respectively with the positive direction of the x-axis.arrow_forwardV, = 14 units ! 3. Determine the magnitude of the vector sum V = V1 + V2 and the angle which it makes with the x-axis V, = 18 units 60arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L