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- Determine 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.The 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.The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A. Determine the distance x and the magnitude and direction of R.
- 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°Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8) and B = (4,3,1)The line of action of force F1 = 3TT N is passing through point A(+2,+3,+1) towards B(+5,+5,+4), while that of force F2 = 4QQ N is through point C(+3,+1, –1) towards D(–2, –3, –4). Use a right-handed coordinate system. a. Determine the moment of force F1 about the origin. b. Determine the moment of force F2 about the origin. c. Determine the magnitude of the resultant moment of forces F1 and F2 about segment OE. Point O is the origin and point E is at (+5,+5,–3). Where: Q=2 T=6
- FORCE SYSTEM IN SPACE PROBLEM 1: Find the resultant of the following concurrent forces passing thru the origin and the following respective points. F1 = 700 kN, (3, 4, v24 ) F2 = 500 kN, (-2, 3, -V12 ) - F3 = 600 kN, (3, -3, v18 )3- If the two forces F, (100i - 120j + 75k) Ib and F, = {-200i + 250j + 100k) lb act at A, determine the resultant moment produced by these forces about point O. Express the result as a Cartesian vector.EX ( 4): B(8,6) The line of action of the ( 300 N ) force runs through the points ( A) and ( B ) as shown in fig . Determine the ( X) and (Y) scalar components of ( F ). F= 300 N A (-7,-2)
- Find the magnitude and direction of the resultant force if F1 = 100 N at 30 deg N of E and F2 = 80 N at 45 deg N of W.Given the Position vector R = i+0j + k (m) and the Force vector F = 2i + 2j + 2k (kN) Determine R. F Answer:SOLVE ASAPThe line of action of force F₁ = 388 N is passing through point A(+2,+3,+1) towards B(+5,+5, +4), while that of force F₂ = 488 N is through point C(+3,+1,−1) towards D(-2, -3, -4). Use a right-handed coordinate system.a. Determine the moment of force F₁ about the origin.b. Determine the moment of force F2 about the origin. c. Determine the magnitude of the resultant moment of forces Fi and F₂ about segment OE. Point O is the origin and point E is at (+5,+5,-3).