Advanced Dynamics

Appendix A.1: Answers to Problems

Chapter 1

  1. ? max = 120 ?

  2. v 1 = - v 0 i, v 2,

  3. v = v 0, all particles

  4. 1.79 cm higher on west bank

    1. v = v 0(1- ),

    2. W = m (1 - ),

    3. W = m = 2 T,

    1. v 10 = 0.6302 v 0,

    2. v 9 = 0.03317 v 0

    1. ,

    2. v A = v 0 i

    1. ? max = 60

    1. P = mg[(l + ?)sin ? + (1 - ?)cos ?]

    1. ? max = tan -1 1.1732 = 49.56

    2. ? = 34.86

    1. Upward

    Downward

Chapter 2

    1. m = 2 x ?,

    2. x max = 0.9063 L, P = 1.077 mg

    1. m = 2 x ? ., m = - ?, - mg,

  1. where

    1. ,

    2. (c) ? = mv 0 j

    1. , , 2 ml 2 = 0

    2. , ? = ? 0 t

    1. At t = 0, ? r = mv 0. At t = R/v 0, ? r = -mv 0

    2. v = R ? 0,

    3. (first impulse)

      (second impulse),

    1. sin ? 1 - sin ? 2 = 0

    2. v B = 1.0824 downward, (d)

    1. = 4 mv 0, (0+) = 0, ?, ?,

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