6) Using the concurrent force system below, answer the following questions. a) Graph the vector addition of the system including the resultant vector, R 300 lb b) Estimate the resultant force from the graph. 45° 60° 400 lb 200 lb
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- Let the four compass directions north, east, south, and west be represented by unit vectors ne . . and respectively. Vertically up and down are represented as u and d. Let us also identify unit vectors that are halfway between these directions such as for northeast. Rank the magnitudes of the following cross products from largest to smallest. If any are equal in magnitude or are equal to zero, show that in your ranking, (a) (b) (c) (d) (e)Add the following vectors using head-to-tail method as well as the parallelogram method and verify your results using the component method. 1. Vector A has a magnitude of 4.0 cms at an angle of 30 degrees with the positive X-axis; vector B has a magnitude of 3.0 cms at 90 degrees with + X-axis; vector C has a magnitude of 5.0 cms at 120 degrees with + X-axis. 2. In addition to vectors A, B, and C in problem # 1, there is a vector D with a magnitude of 6.0 cms at an angle of 210 degrees with +X-axis.Two vectors are defined in component form below. Use them to answer the following questions. Note: ,ŷ, and 2 are Cartesian unit vectors. H = -5ŷ + 42 G = -5x + 22 a) Determine A if A = H.G. b) If] = G., then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. ii. A = -J A = J c) Determine C in component form if C = H x G. d) If K = G x A, then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. C = -K ii. iii. iv. C = R K C. K = 0 |× K = 0
- 1: Solve the problem below by breaking the vectors down into Cartesian Coordinates and solving using Cartesian unit vectors i and j. As a method to check your answer in your evaluation/explanation section, you may solve the problem a second time using another vector analysis technique, however, the analysis section of your homework should be completed using the Cartesian methods. If the resultant force acting on the support will be 1200 Ib, directed horizontally to the right, calculate force F in rope A and the angle 0. B - 60° 900 lbVector A has a magnitude of 36 units and points in the positive y direction. When vector B is added to A, the resultant vector A + B points in the negative y direction with a magnitude of 28 units. Find the magnitude and direction of B. -64j 270 magnitude X Your answer cannot be understood or graded. More Information unit(s) direction ° counterclockwise from the +x-axis Need Help? Read It Viewing Saved Work Revert to Last Response 5:26 PM O Type here to search E 4) 10/14/2020Suppose that F=260 N. (Figure 1) Figure F₁-400 N 90 F₂=200 N 150⁰ F₂ 1 of 1 Part A Determine the magnitude of the resultant force F= F₂+F₁. Express your answer to three significant figures and include the appropriate units. F'- Value Submit Part B Besvest Answer Units ? Determine the direction of the resultant force PF +F3. measured counterclockwise from the positive z axis. Express your answer using three significant figures. VAX vec OND ?
- Four forces act on a particle that is in equilibrium where F3 and P are in the xz-plane. The magnitude of one force is know to be P=600 N A) Write the equilibrium equation for the forces in the x- direction. Express your answer in terms of F1,F2,F3, and P. Express know forces in N and angles in degrees B) Write the equilibrium equation for the foces in the y-direction. Express your answer in terms of F1,F2,F3, and P. Express know forces in N and angles in degrees C) Write the equation for forces in the z-direction. Express your answer in terms of F1,F2,F3, and P. Express know forces in N and angles in degrees10) Three vectors A, B, and C, are shown in the figure. a) Determine the components of these vectors, and write each of the vectors in unit vector notation. Now, determine the magnitude and direction of the: b) Vector sum D = A +B+C. Also, draw these four vectors together in a head-to-tail diagram. (Hint: In the diagram, it's okay if vectors cross over one another.) c) Vector difference E = A-B. Also, draw these three vectors together in a head-to-tail diagram. (Hint: For the diagram, think of it as Ã− B = Ã+(−B).) À (4.00m) (As always, use clear, standard symbolic notation; show all details of your work. See PSL 3.3-4.) Y B (3.00) 70.0 30.0⁰ X4 ć (5.00m)Consider (Figure 1) Assume F = 380 N Figure 3 m 4m Part A Determine the moment of force F about point O Express the result as a Cartesian vector Enter the x, y and components of the moment of force separated by commas. Express your answers in kilonewton-meters to three significant figures. View Available Hint(s) ✓ Hint 1. Cartesian Vector Formulation for the Moment of a Force ijk Ty T. where Tz. F F F Ty, T, represent the zy, z components of the position vector drawn from O to any point on the line of action of the force, F., Fy, F represent the z. y. z components of the force vector in this problem, r, and F. components are equal to zero, since the line of action of the force lies in the z-y plane For simplicity, consider using vector r that lies on either of the axes z or y, since in that case you need only one non-zero coordinate to express its position If zy, z coordinate axes are established, then the moment equation can be written in determinant form as Mo=rx F = T₂ Mo = Submit…
- will be INVALID sponding CORRECT SOLUTION. Two tugboats are pulling a ship. Each tugboat exerts a force of 6 N. The pull rope of one tugboat is aliened along the horizontal axis, and the angle between the two pull ropes is 60° in the counterclockwise direction. What is the resultant force on the ship? 21. Draw the vector diagram for the given scenario. 22. Label all the vectors and angle/s, and if given, its corresponding magnitude and unit of measurement. 23. What is the total component force alang the X-axis? 1. Write on the space below your solution to question no. 23.• Part D Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. ? Value Units Submit Request Answer • Part E Determine the direction, measured clockwise from positive z axis. Express your answer in degrees to three significant figures.A force F1 of magnitude of 5 N is directed in 25 degrees East of South, and a force F2 of magnitude of 2 N is directed in 30 degrees North of West. 1. Draw each vector force and give the magnitude and the direction. 2. Triangle Method of Adding Vectors a. Draw the resultant vector F3 = F1 + F2 . b. Calculate the magnitude and the direction of the resultant F3 .