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- Determine whether the vector field F(x, y, z) = (y + z)i − xz³j + (xºsiny)k is free of sources and sinks. If it is not, locate them. OF is free of sources and sinks. OF has sinks at the points (x, y, z) = (0, лk, - лk), where k is an integer. OF has sources at the points (x, y, z) = (0, лk, —лk), where k is an integer. OF has sources at the points (x, y, z) = (-1, лk, nk) and sinks at the points (x, y, z) = (1, лk, -лk), where k is an integer. OF has sources at all the points except (0, 0, 0).Two cables AB and AC are acting on the pole with forces FAB=540N and FAC=560N with parameters defining the attachment points shown in the table. We want to write the vector FAB in cartesian vector form. Уг parameters value units 540 560 5.5 FAB FAC L 71 4/₁ 72 4/2 →→ FAB= 281.88 3.5 Submit Question 4 N N m m m m m FAC A write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. xi +247.10 Y₁ Z AB B +-388.26 x NSolve a, b, c.
- 2. EQUILIBRIUM or NOT: Analyze the different forces applied on the object ineach of the situations below and tell whether the object is in equilibrium ornot. Write A if (∑F= 0 and ∑τ = 0), B if (∑F≠ 0 and ∑τ ≠ 0). and C if thecondition does not satisfy either A or B.[10] Q1 Find the Singular solution of z = px + qy + p² + pq + q². [10] Q2 Find the Volume cutoff from the cylinder x2 + y2 = 9 by the planes z = 0 and z = 5. [12] Q3 Verify Gauss Divergence Theorem for F = (x³ – yz)i+ (y? – xz)j+ (z³ – xy)E taken over a rectangular parallelepiped bounded by 0-6w + x + 3y + 6z = -6 -7w-x-9y - 2z = -33 -4w - 9x + 8y + 9z = -94 -w - 6x - 10y + 9z = -202 From the equations given, determine the variables w, x, y and z using GAUSS-JORDAN elimination methodLet A and B be events with P(A) = 3/8, P(B) = 5/8 and P(AUB) = 4. Find P(A|B). (А) 3/5 в) 3/4 1/5 2/5Suppose that d = 0.14 m in (Figure 1). Part A Determine the angle at which the 500-N force must act at A so that the moment of this force about point B is equal to zero. Express your answer in degrees to three significant figures. 0= Submit VE ΑΣΦ | 41 Request Answer Figure vec 1 m B ISWE ? 2 m-SEE MORE QUESTIONSRecommended textbooks for youStructural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou…Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage LearningStructural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou…Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning