ECS221L5 - Forces in Space Force F is defined by magnitude F two angles and and point of application(origin y z F x Rectangular Components Given

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
    Forces in Space Force F is defined by magnitude F, two angles θ and φ , and point of application (origin). x y z F θ φ
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
    Rectangular Components Given the size F and angles θ , φ obtain components F x , F y , F z of force F . Step One. F =F h +F y F h = F sin θ F y = F cos θ x y z F θ φ
Background image of page 2
    … more Step Two . F h = F x + F z , F = F x + F y + F z F x = F h cos φ , F z = F h sin φ F x = F cos φ sin θ F y = F cos θ F z = F sin φ sin θ x y z F h θ φ
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
    … more Given the components F x , F y , F z of force F , obtain magnitude F and angles θ , φ . x y z F h θ φ ( 29 2 y 2 h F F F + = ( 29 2 z 2 x h F F F + = ( 29 2 z 2 y 2 x F F F F + + = h x 1 y 1 F F cos F F cos θ - - = = φ
Background image of page 4
    Direction Cosines Direction cosines θ x , θ y , θ z . F x = F cos θ x F y = F cos θ y F z = F cos θ z F x F y F z θ x θ y θ z
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
    The Unit Vector k F = F x i + F y j + F z k F x , F y , F z scalar components F x , F y , F z vector components F = F (cos θ x i + cos θ y j + cos θ z k ) F = F λ , λ is a unit vector in direction F
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/02/2012 for the course ECS 221 taught by Professor Macnamara during the Fall '08 term at Syracuse.

Page1 / 9

ECS221L5 - Forces in Space Force F is defined by magnitude F two angles and and point of application(origin y z F x Rectangular Components Given

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online