Directions: Anytime a force vector is directed at an angle to the horizontal, the trigonometric functions can be used to determine the components of that force vector. To assure that you understand the use of SOH CAH TOA to determine the components of a vector, try the following three practice problems. Show your solution. Diagram A Diagram B Diagram C 100 N 100 N 100 N 30 45 60

Directions: Anytime a force vector is directed at an angle to the horizontal, the trigonometric functions can be used to determine the components of that force vector. To assure that you understand the use of SOH CAH TOA to determine the components of a vector, try the following three practice problems. Show your solution. Diagram A Diagram B Diagram C 100 N 100 N 100 N 30 45 60

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 63P: Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...

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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?
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)
Check Your understanding Three displacement vectors A , B , and F in (Figure 2.13) are specified by their magnitudes A=10.0,B=7.0 and F=20.00 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =110 . The physical units of the magnitudes are centimeters. Use the analytical method to find vector G=A+2BF . Verify that G=28.15cm and that G=68.65 . The three displacement vectors A , B , and C in Figure 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 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.
An adventurous dog strays from home, runs three blocks east, two blocks north, and one block east, one block north, and two blocks west. Assuming that each block Is about a 100 yd, use the analytical method to find the dog’s net displacement vector, its magnitude, and Its direction. Assume the +x-axis is to the east. How would your answer be affected if each block was about 100 m?
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
Vector A has a magnitude of 4.50 m and makes an angle of 64.0 with the positive x axis. Vector B, with a magnitude equal to that of vector A, points along the negative y axis (Fig. P3.16). Graphically find the magnitude and direction of the resultant vector a. A+B, b. AB, c. BA, and d. 2AB.
Assuming the +x -axis is horizontal to the right for the vectors given in the following figure, use the analytical method to find the following resultants: (a) A+B , (b) C+B , (c) D+F , (d) AB , (e) DF , (f) A2F , (g) C2D+3F , and (h) A4D+2F .
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.
Find the sum of the given vectors. In total, you will find Rx, Ry, R and Θ (in standard position). Draw and label a diagram of the two vectors being added and the resultant vector. 580 N < 290° + 400N <150° Rx= Ry= R= Θ= If you could provide a diagram to help me understand I would greatly appricate it.
Do not solve the full qn My question is why is the vector VAot = 1.5 and VAon =-2.6 as shown in the solution. I understand VAot is = -3cos30=-1.5 and VAon = -3sin30 =-2.6 Why is it postive 1.5 instead of negative 1.5 or for VAon why isit negative 2.6 and not positive 2.6? Are you able to show in a vector diagram