03_InstSolManual_PDF_Part3 - Motion in a Plane 3-3 3.5 Set...

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3.5. Set Up: The coordinates of each point are: A , B , C , D , At each point the velocity is tangent to the circular path, as shown in Figure 3.5. The components of the velocity at each point are: A , B , C , D , Figure 3.5 Solve: (a) A to B The time for one full lap is A to B is one-quarter lap and takes (b) A to C (c) C to D (d) A to A so and so (e) For A to B , The speed is constant so the average speed is The average speed is larger than the magnitude of the average velocity because the distance traveled is larger than the displacement. (f) Velocity is a vector, with both magnitude and direction. The magnitude of the velocity is constant but its direction is changing. Reflect: For this motion the acceleration describes the rate of change of the direction of the velocity. 6.0 m / s. v av 5 " 1 v x 2 av 2 1 1 v y 2 av 2 5 " 1 3.8 m / s 2 2 1 1 3.8 m / s 2 2 5 5.4 m / s. 1 a x 2 av 5 1 a y 2 av 5 0 D v x 5 D v y 5 0 1 v x 2 av 5 1 v y 2 av 5 0, D x 5 D y 5 0 1 a y 2 av 5 D v y D t 5 0 2 1 2 6.0 m / s 2 13.1 s 5 0.46 m / s 2 1 a x 2 av 5 D v x D t 5 2 6.0 m / s 2 0 13.1 s 5 2 0.46 m / s 2 ; 1 v y 2 av 5 D y D t 5 2 50 m 2 0 13.1 s 5 2 3.8 m / s 1 v x 2 av 5 D x D t 5 0 2 50 m 13.1 s 5 2 3.8 m
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Unformatted text preview: / s; t 5 1 4 1 52.4 s 2 5 13.1 s 1 a y 2 av 5 D v y D t 5 2 6.0 m / s 2 6.0 m / s 26.2 s 5 2 0.46 m / s 2 1 a x 2 av 5 D v x D t 5 0; 1 v y 2 av 5 D y D t 5 1 v x 2 av 5 D x D t 5 1 50 m 2 1 2 50 m 2 26.2 s 5 3.8 m / s; t 5 1 2 1 52.4 s 2 5 26.2 s 1 a y 2 av 5 D v y D t 5 2 6.0 m / s 13.1 s 5 2 0.46 m / s 2 1 a x 2 av 5 D v x D t 5 6.0 m / s 2 13.1 s 5 0.46 m / s 2 ; 1 v y 2 av 5 D y D t 5 1 50 m 2 13.1 s 5 3.8 m / s 1 v x 2 av 5 D x D t 5 2 1 2 50 m 2 13.1 s 5 3.8 m / s; 1 4 1 52.4 s 2 5 13.1 s. t 5 2 p r v 5 2 p 1 50 m 2 6.0 m / s 5 52.4 s. C B A D v v v v x y O 1 2 6.0 m / s, 0 2 . 1 0, 2 6.0 m / s 2 ; 1 1 6.0 m / s, 0 2 ; 1 0, 1 6.0 m / s 2 ; 1 v x , v y 2 1 0, 2 50 m 2 . 1 1 50 m, 0 2 ; 1 0, 1 50 m 2 ; 1 2 50 m, 0 2 ; Motion in a Plane 3-3...
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  • Spring '07
  • Shoberg
  • Derivative, Velocity, Trigraph, AV

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