In 2D, the moment by a single force is always perpendicular tothe force. true O false
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- Let A and B be two nonparallel vectors that lie in a common plane S. If C=A(AB), which of the following statements are true: (i) C = 0; (ii) Clies in plane S; and (iii) C is perpendicular to plane S?A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what distance d will kx for the new region be the same as kx (for the region before the cutout was removed?The moment of a force about a point O in a 3D coordinate system is solved by computing the cross product of r x F. If r is given as the vector <10, -8, -12> and F is given as <10, -8, 2> what is the moment of F about point O, i.e. the cross product of the vectors r and F?
- The radius of the member is r= 3.45 ft and F has magnitude F= 490 lb. In two dimensions, the moment of a force can be calculated using the scalar method, MO= Fd, where F is the magnitude of the force and d is the perpendicular distance from the line of fore to the point where the moment is being considered. Using scalar method, calculate the moment about O due to FThe moment of the force F-480-lb about the point O in Cartesian vector form is. 1 ft> B 4 ft 2 ft 4 ft Select one: O a. Mo = 800;- 1600k O b. Mo = -200j + 400k Oc. Mo =-200j- 400k Od. Mo 200j + 400k EN GThe moment of the force F-90lb about the point O in Cartesian vector form is. 1 ft B 4 ft 2 ft 4 f1 Select one: O a Ma Ob M, 1600, 3200k 200j 400k Oc Mo 200j 400k O d. M 200j + 400A
- A force F is represented by the vector 3i+4j+5k. Find the component of force F acting perpendicular to a plane, thi, which contains the vectors P=i-j, and Q=i+j-k (P and Q lie on thi).The following forces act concurrently on a body: A = 50 lb, directed 30 degrees N of E; B = 80 lb, directed NW; and C = 100 lb, directed east. What is the magnitude and direction of the force vector A + B? What is the magnitude and direction of the force vector A + B – C?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? c) 19.6 kN.m a) 88.8 kN.m b) 76.3 kN.m d) 55.5 kN.m e) 59.1 kN.m f) 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
- The moment of the force F=120-lb about the point O in Cartesian vector form is. F-120 lb 1ft 4 ft 2 ft Select one: a. Mo = 200j - 400k b. Mo = -200j+ 400k c. Mo = -200j- 400k O d. Mo = 200j+ 400kThe moment of the force F=960-lb about the point O in Cartesian vector form is. F 1 ft 4 ft 2 ft A 4 ft. Select one: O a. Mo = 1600j – 3200k O b. Mo = -200j + 400k %3D O c. Mo = -200j - 400k %3D O d. Mo = 200j + 400k %3D1. When determining the moment of force about a specified axis, the axis must be along_ a. The x axis b. The y axis c. The z axis d. Any line in 3-D space e. Any line the the x-y plane