Reflect and Think: Do your answers obtained seem reasonable conceptually? Why or why not? Compare the...
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Reflect and Think: Do your answers obtained seem reasonable conceptually? Why or why not? Compare the results from each method and discuss the pros/cons of each method. Analysis: (1) Estimate the answer of the resultant force using a graphical technique through measurements of your scale drawing. (2) Apply trigonometric calculations to your model and determine the magnitude and direction of the resultant force. (3) Resolve each force into its Cartesian components. Then, sum components to determine the magnitude and direction of the resultant force. 600 N 45 30 900 N PROBLEM 2.1 Two forces are applied as shown to a hook. Determine the magnitude and direction of their resultant (1) graphically by the parallelogram law or triangle rule with scale drawings, (2) through the use of trigonometry by the triangle rule and the application of law of sines, law of cosines, Pythagorean's theorem etc., as applicable, (3) through the use of component addition component addition. Given: The system shown. Determine: Magnitude and direction of resultant of the two forces, by applying each of the described in the problem statement. Strategy: Apply each of the three specified solution methods to calculate the resultant force. Modeling: For approaches (1) and (2) model by drawing the vectors to scale in a proper position for the parallelogram law or the triangle rule to apply the graphical solution method. Scale drawings are not needed for trigonometric or component addition methods, but the scale drawings can help you visualize the results. Parallelogram Law or Triangle Rule (Circle the method you are applying and use the recommended scale for your Scale: 1 cm = 200 N vector diagram.) The model for approach (3) can simply be obtained by adding axes to the given system or you can draw the given vectors to scale to help you visualize the results. Reflect and Think: Do your answers obtained seem reasonable conceptually? Why or why not? Compare the results from each method and discuss the pros/cons of each method. Analysis: (1) Estimate the answer of the resultant force using a graphical technique through measurements of your scale drawing. (2) Apply trigonometric calculations to your model and determine the magnitude and direction of the resultant force. (3) Resolve each force into its Cartesian components. Then, sum components to determine the magnitude and direction of the resultant force. 600 N 45 30 900 N PROBLEM 2.1 Two forces are applied as shown to a hook. Determine the magnitude and direction of their resultant (1) graphically by the parallelogram law or triangle rule with scale drawings, (2) through the use of trigonometry by the triangle rule and the application of law of sines, law of cosines, Pythagorean's theorem etc., as applicable, (3) through the use of component addition component addition. Given: The system shown. Determine: Magnitude and direction of resultant of the two forces, by applying each of the described in the problem statement. Strategy: Apply each of the three specified solution methods to calculate the resultant force. Modeling: For approaches (1) and (2) model by drawing the vectors to scale in a proper position for the parallelogram law or the triangle rule to apply the graphical solution method. Scale drawings are not needed for trigonometric or component addition methods, but the scale drawings can help you visualize the results. Parallelogram Law or Triangle Rule (Circle the method you are applying and use the recommended scale for your Scale: 1 cm = 200 N vector diagram.) The model for approach (3) can simply be obtained by adding axes to the given system or you can draw the given vectors to scale to help you visualize the results.
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