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Unformatted text preview: Rectangular Components Unit Vectors
Rectangular components
y F x y = Fy
Fx
x Unit Vectors A vector directed along the positive x or y axis with unit magnitude.
y j i Fx = Fxi , Fy = Fyj F = Fx + Fy F = Fxi + Fyj x ... more vectors Given the magnitude (F) and direction ( ) obtain the components Fx, Fy of force F. F F x Fx=Fcos Fx=Fcos i Fy=Fsin Fy=Fsin j F=Fxi+Fyj F=F(cos i+sin j) y Problem. Determine the x,y
components of the force shown. Determine .
1 y
7in = tan 7 24 = 16.26 24in 75lb x = 360  16.26 = 343.7 Obtain components.
o o Fx = (75lb)cos3 43.7 = 72.0lb Fy = (75lb)sin343.7 = 21.0lb F = 72.0i21.0 j lb ... more vectors Given the components Fx, Fy obtain the magnitude (F) and direction ( ) of force F.
F Fx y F Fx Fy x
Fy 2 2 F = Fx + Fy = tan Fy Fx
1 Addition of Forces Using Components Resolve each force into rectangular components and then add. R = P + Q = (Pxi+Pyj) + (Qxi+Qyj) = (Px+Qx) i + (Py+Qy) j = Rx i + Ry j Rx = Px+Qx Ry = Py+Qy
R= 2 Rx 2 + Ry = tan R y R x 1 ...
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This note was uploaded on 04/02/2012 for the course ECS 221 taught by Professor Macnamara during the Fall '08 term at Syracuse.
 Fall '08
 MACNAMARA

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