P2-6. establish a position vector from point A to point B. 3 m. 2 m
Q: A 3 m 1.0 m 3 m 2 m
A: First draw the free body diagram of the given vectors:
Q: A 3 m 1 m -y -4 m- 3 m -4 m B
A: Given :- Co-ordinates of the points are: A = (x, y, z) = (-1, -4, 3) B = (x, y, z) = (3, 4, 0)
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A: Write the given information.
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A: Given question: We have to find the magnitude and direction of the resultant of these forces. The…
Q: Given the Position vector R= -i+ 6j + 3k (m) and the Force vector F = -i - 3j + 8k (kN)
A: Given, the Position vector. R⇀=-i+6j+3k m Force vector, F⇀=-i-3j+8k kN The dot or scalar product…
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: Practice Problem 3.4.6: Determine the resultant of the three forces if (a) 0 = 30•; and (b) e = 45…
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Q: P3-4. set up the determinant needed to find the moment of the force about the a-a axes. (2 m- 2 m 4…
A: Calculate the unit vector along the axis a-a
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A: Given, F2 = -200 k N F3 = -300 j N
Q: Given the Position vector R = 2i -j+ 3k (m) and the Force vector F = i +j+k (kN) Determine the angle…
A: Given Position vector = (2i – j + 3k)m Force vector = (i + j + k) kN To find Angle between the…
Q: 1- F1, and FT, 2- The projection of FT on the line of action of force F1.
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Q: Practice Problem 3.4.7: The resultant of the three forces is the force R =-170j kN acting through…
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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: P3-1. determine the moment of the force about point O. 3 m 500 N IT -m-
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Q: Q1/ The rigid pole and cross-arm assembly is supported by the three cables shown. A turnbuckle at D…
A: Note:As per our guidelines we are supposed to answer only one question. Kindly repost other…
Q: Q3 / A: 2. For the force system as shown in fig.(3-a) below ; Find the location of the resultant…
A: Law of Mechanical Equilibrium: A body is said to be in mechanical equilibrium if it satisfies the…
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Q: *3-36. A force of F = {6i – 2j + 1k} kN produces a moment of Mo = {4i + 5j – 14k} kN •m about the…
A: Given data: The magnitude of force is F = (6i – 2j + 1k) kN. The moment is given as M0 = (4i + 5j -…
Q: Determine the x, y, and z scalar components of force F2. 4 ft F, = 900 lb 3 ft F2 = 700 lb 6ft y
A: Given Data: The force F2 = 700 lb. The diagram can be redrawn as,
Q: Q3 / B: 2. For the force system as shown in fig.(3-b) below; Determine the location of the resultant…
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Q: The line of action of the 3000-lb force runs through the points A and B as shown in the figure.…
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Q: 3-94. Replace the parallel force system acting on the plate by a resultant force and specify its…
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Q: P3-7. specify its coordinates r and y where it acts on the r-y plane. determine the resultant force…
A: Solution : Let FR is the resultant force acting on the given force system. Let (x,y) are the…
Q: 1. In each case, establish a position vector from point A to point B. а. 3 m 1m 3m 4 m -4 m- b. 4 m…
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Q: QA2: Determine the force that hydraulic piston DB exerts on boom ABC, as well as the force exerted…
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Q: P3-6. determine the x and y components of the resultant force and specify the distance where this…
A: Consider the diagram shown below for the given beam,
Q: P3-7. specify its coordinates x and y where it acts on the r-y plane. determine the resultant force…
A: Calculate the resultant force
Q: P2-9. set up the dot product to find the magnitude of the projection of the force F along a-a axes.…
A: Given, Fab=300 N The coordinates of the points are, a 0 m, 0 m, 0 ma1 -1.5 m, 2 m, 0 mb 2 m, 2 m, -1…
Q: The resultant of the three cable tensions acting on the flagpole is the force R=RK. Find T1,T2 and R…
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Q: T3 T2= 50N 30° T1 a. Find 7, +7, b. Find 7-7, c. Find the resultant of the three forces as shown…
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Q: Moment about point C due to force W =
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Q: 1. In each case, establish a position vector from point A to point B. а. 3 m 1 m -4 m 3 m 4 m B b. 4…
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Q: Determine the angle between the two position vectors of QAB and QAB, When point A is (1 m, -2 m, 3…
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Q: T3 T2= 50N 30° T1 a. Find 7, + T, b. Find 7; - 7, c. Find the resultant of the three forces as shown…
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Q: Q3/ -875 mm- Determine the moment of the 800-N force F about point A, using vector approach only.…
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Q: F4-18. Determine the mome y, and the z axes. Solve the problem using both a scalar and a vector…
A: Given DataP=500N
Q: The rigid pole and cross-arm assembly is supported by the three cables shown. A turnbuckle at D is…
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Q: DETERMINE THE MAGNITUDE RESULTANT OF THE THREE CABLE TENSIONS THAT ACT ON THE HORIZONTAL BOOM IF T1=…
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Q: 2-143. The three supporting cables exert the forces shown on the sign. Represent each force as a…
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Q: Replace the parallel force system acting late by a resultant force and specify its location c -z…
A: vector of 5KN =0.5i^ + 1.5k^vector of 3KN=1.5 i^+0.5k^vector of 2KN=…
Q: Resolve the 20-kN force into components along the u- and v-axes.
A: Given, The force makes 60° with the u axis. The force angle between the given force and v axis is,…
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A: Given:-FA=300 lbFB= 200 lbFC= 500 lbTo find:-Resultant forceLocation (x,z)
Q: 2-61. The 8-m-long cable is anchored to the ground at A. If x = 4 m and y = 2 m, determine the…
A: Given. length of rope = 8 m x = 4 m y = 2 m From x and y, A = 4 i + 2 j + 0 k B is along z axis,…
Q: Resolve the 360-lb force into components along the cables AB and AC. Use α = 60° and β = 40°.
A: Given data: Load acting vertically downward at point A, P = 360 lb. Draw the free-body diagram of…
Q: determine the equivalent force-couple
A: Given: To determine: Equivalent force couple at O
Q: Resolve the 360-lb force into components along the cable AB and AC. Use a = 60° and B = 40°
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- The force-couple system acting at O is equivalent to the wrench acting at A. If R=600i+1400j+700klb and |C|=1200lbft, determine CR.The force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.The two forces are applied to the end of the boom OA. Determine the force F so that the resultant of the two forces lies in the yz-plane.
- To move the oil drum, the resultant of the three forces shown must have a magnitude of 500 N. Determine the magnitude and direction of the smallest force F that would cause the drum to move.Determine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.The two forces of magnitude F=30kN form a couple. Determine the corresponding couple-vector.
- If the couple applied to the steering wheel is to have the magnitude C=120lbin., determine F.The trapdoor is held in the horizontal plane by two wires. Replace the forces in the wires with an equivalent force R that passes through point A, and determine the y-coordinate of point A.Determine the wrench that is equivalent to the force-couple system shown and find the coordinates of the point where the axis of the wrench crosses the xz-plane.