Answered: BF = F,i+ Fj+ F.k a

Automotive Technology: A Systems Approach (MindTap Course List)

6th Edition

ISBN:9781133612315

Author:Jack Erjavec, Rob Thompson

Publisher:Jack Erjavec, Rob Thompson

Chapter9: Automotive Engine Designs And Diagnosis

Section: Chapter Questions

Problem 13RQ: The stroke of an engine is the crank throw half twice four times equal to

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HI I have some problems here. I would like to know the answer to the 3 questions and how you managed to obtain them.

To understand Cartesian representations of vectors and how they can be determined from direction and magnitude; to learn how to represent vectors expressed as a product of the component magnitude and the unit direction vectors i, j, and k; and to learn how to represent a vector component as a function of the angle between the vector and the coordinate axis.

As shown, a pole is subjected to three forces: F, P, and T. The force F expressed in Cartesian vector form is F=[8 i+9 j+6 k] N. Force P has magnitude 8.31 N and acts in the direction given by these direction angles: α=104∘, β=15.7∘, and γ=83.1∘ to the x, y, and z axes, respectively. Force T lies within the yz plane, its direction is given by the 3-4-5 triangle shown, and its magnitude is 16 N.

1) What is the magnitude of F?

2) Determine the components of P in the i, j, and k directions.

3)What are the Cartesian components of force T? (iN, jN, kN)

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