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2. Your goal is to solve for 7 and F using the information below. Follow the semi-guided steps to do so. Show your work in the space provided to earn credit. T = 0.866 |T| 2 + 0.5 |7|9 F = 0.707 |F| 2 – 0.707 |F| 9 M = 6.65£ – 1.7369 Vector equation: M = T + F a) Plug the component forms of the given vectors into the Vector Equation above. b) You now have one vector equation with two unknowns. You need to use the dot product to convert this vector equation into 2 scalar equations. i. Take the dot product with & on both sides of the equation. Simplify as much as possible. ii Take the dot product with O on both sides of the equation Simplify as much as possible

2. Your goal is to solve for 7 and F using the information below. Follow the semi-guided steps to do so. Show your work in the space provided to earn credit. T = 0.866 |T| 2 + 0.5 |7|9 F = 0.707 |F| 2 – 0.707 |F| 9 M = 6.65£ – 1.7369 Vector equation: M = T + F a) Plug the component forms of the given vectors into the Vector Equation above. b) You now have one vector equation with two unknowns. You need to use the dot product to convert this vector equation into 2 scalar equations. i. Take the dot product with & on both sides of the equation. Simplify as much as possible. ii Take the dot product with O on both sides of the equation Simplify as much as possible

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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I got 13.4N unit vector z+14.9N unit vector y for question 5b

I need help on 2b i

 

5. Torque i is defined by the cross product between a position vector i and a force vector F. The figure below shows a force F at a location described by 7. Both F and i lie in the plane of the board and therefore do not point into or out of the board. A Cartesian coordinate system has been chosen for you. Use the figure to perform the following exercises. |ř| = 5 m i = 7 x P | F = 20 N 0 = 42° a) Express i in component form. (Recall: Draw i with £, ŷ, and î placed at its tail. Determine the angles a, ß, and y. Plug into the generic expression for a vector in component form.) Check: 7 = 5 m î b) Express F in component form. (Recall: Draw F with &, ŷ, and 2 placed at its tail. Determine the angles a, ß, and y. Plug into the generic expression for a vector in component form.) Download Fullscreen PDF W X
Transcribed Image Text:5. Torque i is defined by the cross product between a position vector i and a force vector F. The figure below shows a force F at a location described by 7. Both F and i lie in the plane of the board and therefore do not point into or out of the board. A Cartesian coordinate system has been chosen for you. Use the figure to perform the following exercises. |ř| = 5 m i = 7 x P | F = 20 N 0 = 42° a) Express i in component form. (Recall: Draw i with £, ŷ, and î placed at its tail. Determine the angles a, ß, and y. Plug into the generic expression for a vector in component form.) Check: 7 = 5 m î b) Express F in component form. (Recall: Draw F with &, ŷ, and 2 placed at its tail. Determine the angles a, ß, and y. Plug into the generic expression for a vector in component form.) Download Fullscreen PDF W X
e Solving Vector Equations.pdf st Download Close Review 2. Your goal is to solve for T and F using the information below. Follow the semi-guided steps to do so. Show your work in the space provided to earn credit. T = 0.866 T| & + 0.5 T| ŷ F = 0.707 F & – 0.707 F9 M 6.65£ – 1.736ŷ Vector equation: M = T + F а) Plug the component forms of the given vectors into the Vector Equation above. b) You now have one vector equation with two unknowns. You need to use the dot product to convert this vector equation into 2 scalar equations. Take the dot product with £ on both sides of the equation. Simplify as much as possible. Take the dot product with ŷ on both sides of the equation. Simplify as much as possible. i. ii. c) You now have 2 scalar equations with 2 unknowns. This is a system of equations. Use your favorite technique to solve the system of equations for the unknown variables. If you need help, go back to the conceptual reference material from Module A about solving systems of equations. F| = 5; |T| = 3.6 Check your answer: Step (a): Step (b-i): Step (b-ii): ag 00 APR PDF 4 W
Transcribed Image Text:e Solving Vector Equations.pdf st Download Close Review 2. Your goal is to solve for T and F using the information below. Follow the semi-guided steps to do so. Show your work in the space provided to earn credit. T = 0.866 T| & + 0.5 T| ŷ F = 0.707 F & – 0.707 F9 M 6.65£ – 1.736ŷ Vector equation: M = T + F а) Plug the component forms of the given vectors into the Vector Equation above. b) You now have one vector equation with two unknowns. You need to use the dot product to convert this vector equation into 2 scalar equations. Take the dot product with £ on both sides of the equation. Simplify as much as possible. Take the dot product with ŷ on both sides of the equation. Simplify as much as possible. i. ii. c) You now have 2 scalar equations with 2 unknowns. This is a system of equations. Use your favorite technique to solve the system of equations for the unknown variables. If you need help, go back to the conceptual reference material from Module A about solving systems of equations. F| = 5; |T| = 3.6 Check your answer: Step (a): Step (b-i): Step (b-ii): ag 00 APR PDF 4 W
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