Question 4Formulate a general conclusion from thecomparison between the graphicalmethods and the component method incalculating for resultant vectors. Also,discuss the advantages and disadvantagesof each method preferably in bullet form.Use the editor to format your answer

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 37P: Assuming the +x -axis is horizontal and points to the tight, resolve the vectors given In the...

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A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF . The three displacement vectors A , B , and C in Figure 2.13 are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following vector products: AC , (b) AF , (c) DC , (d) A(F+2C) , (e) iB , (f) jB , (g)
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
Check your Understanding A blue fly lands on a sheet of graph paper a point located 10.0 cm to the right of its left edge and 8.0 cm above its bottom edge and walks slowly to a point located 5.0 cm from the left edge and 5.0 cm from the bottom edge. Choose the rectangular coordinate system with the origin at the lower left-side comet of the paper and find the displacement vector of the fly. Illustrate your solution by graphing.
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
Assuming the +x -axis is horizontal and points to the tight, resolve the vectors given In the following figure to their scalar components and express them in vector component form.
Three tension rods are bolted to a gusset plate. Determine the magnitude and direction of their resultant. Use the vector algebra and vector polygon methods. Compare the answers from the two methods to verify the accuracy of your work. Assume F = 520 lb, F = 220 lb, and F, = 340 lb. L. 20° 450 (Express your answers using three and four significant figures, respectively. Report the direction as an angle between 0 and 180°, clockwise or counterclockwise.) R = lb Select v from i
wo vectors are defined in component form below. Use them to perform the following exercises. Note: £, §, and 2 are unit vectors of the Cartesian coordinate system defined by £ × 9 = z. S = - D Č = -152 + 82 D = -42 – 39 T = Č XD F = 5 le| = 17 Determine S. Show your ster Determine T. (Your answer should be an expression in component form.) Show your steps Determine the smallest angle between D and ý when they are drawn tail-to-tail.
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.
add the given vectors by the component method , by completing the table below. What is the angle of the resultant vector with respect to the xaxis?A = 6.0 N at 135°, B = 3.0 N at 225°, C = 8.7 N at 350
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Formulate a general conclusion from the comparison between the graphical methods and the component method in calculating for resultant vectors. Also, discuss the advantages and disadvantages of each method preferably in bullet form.