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5) Use the Pythagorean theorem and SOH CAH TOA to determine the magnitude and direction of R. a? + b2 c? Problem 1:

5) Use the Pythagorean theorem and SOH CAH TOA to determine the magnitude and direction of R. a? + b2 c? Problem 1:

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Objective: To develop understanding of vectors by analyzing vector quantities and by addition of vectors using both graphical and mathematical methods. Background: A single vector may be analyzed by resolving the vector into horizontal (x) and vertical (y) components. This information then allows calculation of the magnitude (via Pythagorean Theorem) and angle (via trigonometry) of the original vector. Two or more vectors can be added together graphically using the head-to-tail method or mathematically using component addition to determine a vector sum or resultant vector. This vector can then be resolved into components and analyzed. Procedure: For each problem, vectors A, B and C are shown. 1) Sketch the head-to-tail addition of A+ B + C on the empty grid, labeling each vector. 2) Draw and label the resultant (R) on the grid. 3) Complete the table by recording the x and y components for vectors A, B, and C. Use a positive sign (+) to indicate East or North; use a negative (-) to indicate a West or South. 4) Sum the components to determine the components of the resultant. Record the magnitude and direction of each component of the resultant. Use a positive sign (+) to indicate East or North; use a negative (-) to Indicate a West or South. 5) Verify your work. The resultant drawn on the grid should have the same components as shown in the table. If not, carefully repeat steps 1-4 to find your error. 6) Use the Pythagorean theorem and SOH CAH TOA to determine the magnitude and direction of R. a + b2 c? Problem 1:
Transcribed Image Text:Objective: To develop understanding of vectors by analyzing vector quantities and by addition of vectors using both graphical and mathematical methods. Background: A single vector may be analyzed by resolving the vector into horizontal (x) and vertical (y) components. This information then allows calculation of the magnitude (via Pythagorean Theorem) and angle (via trigonometry) of the original vector. Two or more vectors can be added together graphically using the head-to-tail method or mathematically using component addition to determine a vector sum or resultant vector. This vector can then be resolved into components and analyzed. Procedure: For each problem, vectors A, B and C are shown. 1) Sketch the head-to-tail addition of A+ B + C on the empty grid, labeling each vector. 2) Draw and label the resultant (R) on the grid. 3) Complete the table by recording the x and y components for vectors A, B, and C. Use a positive sign (+) to indicate East or North; use a negative (-) to indicate a West or South. 4) Sum the components to determine the components of the resultant. Record the magnitude and direction of each component of the resultant. Use a positive sign (+) to indicate East or North; use a negative (-) to Indicate a West or South. 5) Verify your work. The resultant drawn on the grid should have the same components as shown in the table. If not, carefully repeat steps 1-4 to find your error. 6) Use the Pythagorean theorem and SOH CAH TOA to determine the magnitude and direction of R. a + b2 c? Problem 1:
Problem 2: Right-left Up-down E-W N-S Vector Magnitude of R (Pythagorean theorem): a?+ b2 = c2 Components Components Direction of R (SOH CAH TOA):
Transcribed Image Text:Problem 2: Right-left Up-down E-W N-S Vector Magnitude of R (Pythagorean theorem): a?+ b2 = c2 Components Components Direction of R (SOH CAH TOA):
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