3-67. If 5 - 100 N, 5 - 120N, and 5 - 80 N, determine the magnitude and coordinate direction angles of the resultant couple moment. F, =[-150 k] N 0.3 m -30 0.2 m = [150 k] N 0.2 nf 02m 0.2 m
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![3-67. If 5 - 100 N, 5 - 120N, and 5 - 80 N,
determine the magnitude and coordinate direction angles
of the resultant couple moment.
F, =[-150 k] N
0.3 m
-30
0.2 m
= [150 k] N
0.2 nf
02m
0.2 m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe6b38d5-9c11-4f69-9a40-925562e7a60b%2F6f6200de-613a-41cc-8f03-f49343b4b7c6%2F972sdt.png&w=3840&q=75)
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- The magnitude of the moment of the force F=300i-200j+600k N about the y-axis is.  Select one: a. 240 [N.m] b. 20 [N.m] c. -240 [N.m] d. -20 [N.m]Determine the required magnitude of F1, F2, and F3 so that the resultant couple moment is (Mc)R = [50i - 45j - 20k] N ⋅ m.Replace the effect of the forces, with the resultant Fv and the moment M at point D, if the force F1 acts at point A, A equiv(1,5;1.5;2) B equiv(1;3,5;1) F2 at point B and F3 at point C. dot C equiv(-1;5,5;0) D equiv(1;1,5;-0,5) F 1 =(100,-20,0)F 1 =(-40,-30;15)N F 3 =(0,-80;120)N P c F P A F 1
- The pipe assembly is subjected to three forces of F1 = {3.00, 4.00, -2.00} kip, F2 = {0, 0,-4.00} kip, and F3 = {-3.00, 0, 0} kip. Determine the sum of the moment of the forces 1) about x-axis (the unit vector of x is i) and 2) about line AC. Express the result as a Cartesian vector.The tower crane is used to lift the 1.8-ton load upwards at a constant speed. The mass center of the 1.4-ton beam BD is at G1, the mass center of the 0.5-ton beam BC is at G2 and the mass center of the 6.8-ton counterweight C is at G3. A) Determine the moment of force exerted by the load, counterweight and beams together around point A and point B. Let counterclockwise rotation be a plus.Express the answers with three value digits, and separate the force moments for point A and point B with a comma. B) To get the correct answer to the calculation in the previous task, should one assume that the tower crane is a rigid body? (choose the right answer) - Yes, but it is always a bad approximation in reality: all bodies are deformable (regardless of size)- Yes, because it is a good approximation, it would only be bad if the load was so heavy that the crane bent significantly- It does not matter, you can assume it or not, you always get the same mathematical equations no matter what you…determine the couple moment acting on the pipe. Segment AB is directed 30° below the x-y plane.
- - Two different ropes connected to the A ring, FB and FC as in the figure. pulling forces are applied. (ring A is in the x-y plane and its z coordinate is zA =0.) Accordingly, a-) Express the FB force as vector. b-) Vectorial moment of FC force with respect to point B Calculate as. FB=(26)kN, FC = (12)kN, hB = (7)m, hC=(8)mFind the sum of the moments of the three forces 1- about point A 2- around point B 3- about point OThe rigid pipe is subject to the following loads. Neglecting the weight of the pipe, determine the moment at O. SOLVE THE FF Vector component form of 50-lb force (ANSWER: 25.000i +0j -43.30k lb) Magnitude of the resultant force (ANSWER: 78.10 lb) Position vector of the 50-lb force from point O to its point of application on the pipe. (ANSWER: -15i -10j +12k inch) Moment at point O, in vector component form. (ANSWER: 1153.01i -829.52j +250.00k lb-in)
- The horizontal force F=−Fi acting on the handle of the wrench produces a component of the moment along the OA axis (z axis) of the pipe assembly of Mz={4.1 k}N⋅m . Both the wrench and the pipe assembly, OABC, lie in the y-z plane. Suggestion: Use a scalar analysis. y-z (Figure 1) Determine the magnitude of the force F.5b. If lengths a=1.1m, b=4.8m, c=1.1m, d=3.2m, e=1.3m, and f=3.2m, determine the moment (in N*m) caused by force F_A about axis OD. Answer must include 1 place after the decimal point. Negative sign must be included if the rotational tendency about the OD axis (from O to D) is clockwise.Determine the moment of a force F=(0.5i-2.0j+7.0k) kN acting at A(5, -4, 0)m about axis BC where B (6,8,4)m and C (-6, -5,8)m. Also express the result in vector form. What is the prependicular distance between F and the axis BC?