lecture notes-Chapter3

lecture notes-Chapter3 - Chapter 3 Motion in a Plane Vector...

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1 Chapter 3: Motion in a Plane Vector Addition Velocity Acceleration Projectile Motion
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4 To add vectors graphically they must be placed “tip to tail.” The result ( F 1 + F 2 ) points from the tail of the first vector to the tip of the second vector. F 1 F 2 R §3.1 Graphical Addition and Subtraction of Vectors
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6 Think of vector subtraction A B as A +(– B ), where the vector – B has the same magnitude as B but points in the opposite direction.
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8 §3.2 Vector Addition and Subtraction Using Components Vectors may be moved any way you please (to place them tip to tail) provided that you do not change their length nor rotate them.
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10 Example: Vector A has a length of 5.00 meters and points along the x-axis. Vector B has a length of 3.00 meters and points 120 ° from the +x-axis. Compute A + B ( = C) . A x y B 120 ° C
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11 adj opp cos sin tan hyp adj cos hyp opp sin = = = = θ ( 29 ( 29 m 50 . 1 60 cos m 00 . 3 60 cos 60 cos m 60 . 2 60 sin m 00 . 3 60 sin 60 sin - = ° - = ° - = - = ° = ° = ° = = ° B B B B B B B B x x y y and A x = 5.00 m and A y = 0.00 m A x y B 120 ° 60 ° B y B x Example continued:
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12 The components of C : m 2.60 m 2.60 m 00 . 0 m
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lecture notes-Chapter3 - Chapter 3 Motion in a Plane Vector...

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