3-1. Prove the distributive law for the vector cross product, i.e., A X (B + D) = (A × B) + (A × D).
Q: 4-55. Determine the moment of the force F about an axis extending between A and C. Express the…
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Q: 3-37. The force F = {6i + 8j + 10k} N creates a moment about point o of Mo = {-14i + 8j + 2k} N•m.…
A: The given force vector is The given moment about point O is Let us consider that the position…
Q: *4-16. If the man at B exerts a force of P = 30 lb on his rope, determine the magnitude of the force…
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Q: F3-5. Determine the moment of the force about point O. 60 kN 20° 0.25 m 2.5 m 30
A: considering Free body diagram of the system
Q: F3-12. If F = {500i – 600j + 375k} N and F, = {-1000i + 1250j + 500k} N, determine the resultant…
A: Given data *The given force is, F1 = [500i - 600j +375k] N *The another force is, F2 = [-1000i +…
Q: 4-10. If Fg 30 lb and Fe 45 lb, determine the resultant moment about the bolt located at A. 0.75 ft…
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Q: Q4. The 70-N force acts on the end of the pipe at B. Determine the angles 0 (0° < 0 < 180°) of the…
A: MA(moment at A)MA=70 sin θ *0.7+70 cos θ*0.9MA=49 sin θ + 63 cos θThe above function is of the form…
Q: P3-4. set up the determinant needed to find the moment of the force about the a-a axes. F= {61 + 2j…
A: From figure, the position vector (r) of force F is given as:
Q: F4-1. Determine the moment of the force about point O. 100 N 2 m |0 5 m F4-1
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Q: F4-7. Determine the resultant moment produced by the forces about point O. 500 N 300N 25m 6A00 N
A: Free Body diagram
Q: F4-7. Determine the resultant moment produced E forces about point O. 500 N 300 N (45° 2,5 m
A: GIVEN:
Q: 4-1. If A, B, and D are given vectors, prove the distributive law for the vector cross product,…
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Q: F4-8. Determine the resultant moment produced by the forces about point O.
A: Given data Given force system
Q: F4-7. Determine the resultant moment produced by the forces about point O.
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Q: If the force vector F=(33i-45j+53k) N. a=4 m; b=3 m; c=2 m; a C a a F 4a) Determine the magnitude of…
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Q: F4-2. Determine the moment of the force about point O F = 300 N \30° 45° 0.3 m -0.4 m- F4-2
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Q: 0.7 m 20⁰ 0.3 m FB B 25 If FB = 120 N and Fc = 140 N, 4 30° Fc a) Draw the Free-Body Diagram b)…
A: Given that: FB= 120 N, FC = 140 N It is required to determine: (a) Free body diagram (b) The…
Q: H.W F4-8. Determine the resultant moment produced by the forces about point O. F = 500 N 0.125 m,…
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Q: Q4/ Determine the moment of the force F about AC axis and about BC axis Express the results as a…
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Q: F4-11. Determine the moment of force F about point O. Express the result as a Cartesian vector. F=…
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Q: F3–18. Determine the moment of force F about the x, the y, and the z axis. Solve the problem using…
A: Given Force = 500 N To find Scalar and Vector solution
Q: 4-39. Determine the resultant moment produced by the two forces about point O. Express the result as…
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Q: P3-3. determine the resultant moment of the forces acting about the x, the y, and the z axis. 100 N…
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Q: The cable exerts a tension of 3.4 kN on the fixed bracket at A. Write the vector expression for the…
A: Given Data T=3.4 kN
Q: 4-39. Determine the resultant moment produced by the two forces about point O.Express the result as…
A: Given data, From the given figure:- Coordinates of O = (0, 0, 0) Coordinates of A = (3, 3, -2) Force…
Q: 4-33. The pipe assembly is subjected to the force of F = {600i + 800j - 500k} N. Determine the…
A: Given data: F=600i+800j-500k Need to determine the moment of the given force about point B.
Q: *4-32. The pipe assembly is subjected to the force of F = {600i + 800j – 500k} N. Determine the…
A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…
Q: The magnitude of the moment of the force F=300i-200j+150k N about the y-axis is. 0.3 m 0.4 m 0.2 m F…
A: Position vector of point B about point A:rB=0.3i^+0.4j^-0.2k^F→=300i^-200j^+150k^
Q: 0.7 m 20⁰ 0.3 m FB B 25% If FB = 120 N and Fc = 140 N, 30° Fc a) Draw the Free-Body Diagram b)…
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Q: 4-55. Determine the moment of the force F about an axi extending between A and C. Express the result…
A: Given Data Force is :F=4i+12j+3k Now the vector rCB is calculate as…
Q: If the tension in the gantry-crane hoisting cable is T= 27 kN, determine the unit vector n in the…
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Q: 4-55. Determine the moment of the force F about an axis extending between A and C. Express the…
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Q: 3- Find the value of resultant R, if T=400N, P=450N, F=20ON, B=60°, a=40°. Y T
A: x−component of F=F cosα=200×cos40 x−component of F=153.208 N (+x−axis) y−component of F=F…
Q: Q3 Determine the moment of the 500 N force about point O. 300 N 45° 2.5 m |-1m- -2 m 600 N
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Q: 5- The mast is subjected to three forces shown. Determine all the coordinate direction angles of F…
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Q: F4-14. Determine the magnitude of the moment of the force F = {300i – 200j + 150k} N about the OA…
A: Ans. A→= 0.3 i + 0.4 i + 0 th B→ = 0.3 l + 0.45-0.2 k AB→= B→-A→= oi+oj-…
Q: Prob. 4-6 4-7. Determine the moment of each force about the bolt located at A. Take FR = 40 N, F =…
A: Moment: The moment is the product of the applied force with perpendicular distance of force from the…
Q: Q4\ Determine the moment of the force about point O. Neglect the thickness of the member. 50 N -100…
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Q: F3-6. Determine the moment of the force about point O. 500 N 3 m
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Q: F4-19. Determine the resultant couple moment acting on the beam. 400 N 400 N 200 N ]0.2 m 200 N 3 m…
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Q: P-3. Determine the moment of the force about point O. 500 N 3 m
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Q: 4-31. Determine the moment of the force F about point P. Express the result as a Cartesian vector. P…
A: the product of the distance between the location and the place where the force is applied and the…
Q: 4-98. Determine the resultant couple moment of the two couples that act on the pipe assembly. The…
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Q: P3-1. determine the moment of the force about point O. 100 N 3 m 2 m
A: Moment = Force (Perpendicular direction)
Q: F4-3. Determine the moment of the force about point O. F= 300 N 30 0.3 m 0.4 m
A: It is required to determine the moment about point O
Q: The magnitude of the moment of the force F=300i-200j+300k N about the y-axis is. 0.3 m 0.4 m 0.2 m…
A: Given data :- F = 300i - 200j +300k Find Moment about y axis
Q: If the tension in the gantry-crane hoisting cable is T = 28 kN, determine the unit vector n in the…
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Q: 4-51. Determine the moment of the force F about the Oa axis. Express the result as a Cartesian…
A: Given data Force vector(F) = {50î -20ĵ +20k̂} Position vector of point O (r) = î -2ĵ + 6k̂ Moment of…
Q: 4-39. Determine the resultant moment produced by the two forces about point O. Express the result as…
A: First of all find the position vector rOA, we have rOA=(3-0)i→+(3-0)j→+-2-0k→rOA=3i+3j-2kft
Q: F4-8. Determine the resultant moment produced by the forces about point 0.' F = 500 N 0.125 m, 0.3…
A: Moment is defined as the product of transverse force to the longitudinal eccentricity or…
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- Determine the torque (magnitude) when the following is known: The moment arm is described by the vector r⃗ = (7i⃗ + 11k⃗) meters. The force is F = 20N in the direction of -3j⃗ + 4k⃗.Obtain the general solution. (D^3 + 7D^2 + 19D + 13)y = 0 when x = 0, y = 0, y' = 2, y'' = -1221.Given the 420N force along the cable AC. Find the force Facin the Cartesian vector form.
- Find the normal force at the point Qthe three showed forces are equivalent to one ascending force of 50kN in A and has a torque of 170kN*m in couter-clockwise sense. Determine P and QIf the tension in the gantry-crane hoisting cable is T = 28 kN, determine the unit vector n in the direction of T and use n to determine the scalar components of T. Point B is located at the center of the container top.Assume a = 13 m, b = 8 m, c = 2 m, d = 6 m, e = 10 m, f = 5 m, and h = 18 m.
- Two forces P and F are acting on xy plane, if P = 400 lb is passing thru a point (1,3) pointing up to the right at a slope 3:4 and F = 300 lb passing thru point (2,3) directed down to the right at a slope 3:2. Determine the moments about A(6,3) and at B(5,0) Pls show the solution, formula and free body diagram.The convergent system of 4 forces acting on an absolutely rigid body is balanced (ΣFKY = 0). Determine the projection of the fourth force on the Oy axis if F1y = 160.0 kN; F2y = -46.0 kN; F3y = 36.0 kN;.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…
- Find the resultant forceTwo forces P and F are acting on xy plane, if P = 400 lb is passing thru a point (1,3) pointing up to the right at a slope 3:4 and F = 300 lb passing thru point (2,3) directed down to the right at a slope 3:2. Determine the moments about A(6,3) and at B(5,0)Two forces P and F are acting on xy plane, if P = 400 lb is passing thru a point (1,3) pointing up to the right at a slope 3:4 and F = 300 lb passing thru point (2,3) directed down to the right at a slope 3:2. Determine the moments about A(6,3) and at B(5,0) Show solution, formula and the FBD and pls write legible