Lect-04-08-posted[1]

Lect-04-08-posted[1] - 9/22/2008 Where are we? PHYA10H3F -...

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9/22/2008 1 Where are we? PHYA10H3F - Dr Salam Tawfiq Textbook: Physics for Scientist & Engineers, Randall D. Knight, Addison-Wesley (2008) Week Date L# Lecture Topic Text Reading 1-2 Sept 19 2 Motion Concepts Chapter 1 3 Analyzing Motion Chapter 2 1-2 4 Vectors Chapter 3 Sept 24 4 Constant Acceleration . 2-D Motion Chapter 4 5 Forces Change Motion Chapter 5 1 3 Sept 26 5 Using Newton's 2nd Chapter 6 6 More Newton's Laws You are here! Motion in Two Dimension & projectile motion 2 00 1 x x xv t a t =+ + 2 1 y yy vt a t = ++ 2 0 xx vv a t =+ 22 x0 x 0 vv 2 a ( ) 1 −= 2 0 a t = + y0 y 0 a ( y ) y 2 xav 0 v( v v ) 2 yav 0 1 v v ) 2 Free Fall: a y = -g = -9.8 m/s 2
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9/22/2008 2 Motion in 2D and 3D Position The position of an object is described by its position vector , r G k z j y i x r ˆ ˆ ˆ + + = G 3 Displacement The displacement of the object is defined as the change in its position, r G Δ 1 2 r r r G G G = Δ 4 ) ˆ ˆ ˆ ( ) ˆ ˆ ˆ ( 1 1 1 2 2 2 k z j y i x k z j y i x r + + + + = Δ G k z z j y y i x x ˆ ) ( ˆ ) ( ˆ ) ( 1 2 1 2 1 2 + + = k z j y i x r ˆ ˆ ˆ Δ + Δ + Δ = Δ G
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9/22/2008 3 Velocity Average velocity k z j y i x r Δ + Δ + Δ = Δ = ˆ ˆ ˆ G G Instantaneous velocity t t v avg Δ Δ k d dz j d dy i d dx d r d v ˆ ˆ ˆ + + = = G G 5 dt dt dt dt k v j v i v v z y x ˆ ˆ ˆ + + = G Instantaneous velocity Vector of instantaneous velocity is always tangential to the object’s path at the object’s position 6
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9/22/2008 4 Acceleration Average acceleration v v v Δ G G G G
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Lect-04-08-posted[1] - 9/22/2008 Where are we? PHYA10H3F -...

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