I got 13.4N unit vector z+14.9N unit vector y for question 5bI 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 belowshows a force F at a location described by 7. Both F and i lie in the plane of the board and therefore do notpoint into or out of the board. A Cartesian coordinate system has been chosen for you. Use the figure toperform the following exercises.|ř| = 5 mi = 7 x P|F = 20 N0 = 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 îb) 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.)DownloadFullscreenPDFWX eSolving Vector Equations.pdfstDownloadCloseReview2. Your goal is to solve for T and F using the information below. Follow the semi-guided steps to do so. Show yourwork in the space provided to earn credit.T = 0.866 T| & + 0.5 T| ŷF = 0.707 F & – 0.707 F9M6.65£ – 1.736ŷVector equation: M = T + Fа)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 vectorequation 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 techniqueto solve the system of equations for the unknown variables. If you need help, go back to the conceptualreference material from Module A about solving systems of equations.F| = 5; |T| = 3.6Check your answer:Step (a):Step (b-i):Step (b-ii):ag00APRPDF4W

Answered: Image /qna-images/answer/c7d8f4c9-7ca6-4d55-9ff5-31393bd1180d.jpg

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

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 47PQ

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

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

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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