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Unformatted text preview: sθ y ( and z in 3D) components of a vector. They are usually denoted by x, y (or z) subscript and may be called cartesian components. • If we know the vector, we know the components. Also, if we know the components, we know the vector. Ay O X A
θ Ax X Ax = Acosθ Ay = Asinθ A = A2 + A2 x y ⎛ Ay ⎞ θ = tan −1 ⎜ ⎟ ⎝ Ax ⎠ Components of a vector (contd…) Example 1 : If a ball is dropped, its accelera#on is g = 9.8 m/s2. What is its accelera#on down an incline (no fric#on) of angle 30o with the horizon? gsin30o = 4.9 m/s2 down the plane A
O g Θ=30o Acosθ X v Example 2 : If a bullet is ﬁred up in air angle 60o with the horizon with speed of 300 m/s, as indicated in the ﬁgure above, what is its velocity along the x
axis? Along y
axis? Addi#on and subtrac#on of vectors...
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This note was uploaded on 11/16/2010 for the course PHY 2170 taught by Professor Blank during the Spring '08 term at Wayne State University.
 Spring '08
 BLANK

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