Recent content by Decypher

  1. Decypher

    Retarding Force proportional to the velocity falling particl

    I spent a great amount of time on this part you are mentioning. The book does not provide a great description on this statement. "Where -kmv represents a positive upward force since we take z and v = z(dot) to be positive upward, and the motion is downward-that is, v<0, so that -kmv > 0." I...
  2. Decypher

    Retarding Force proportional to the velocity falling particl

    Example problem from a Classical Mechanics book. Find the displacement and velocity of a particle undergoing vertical motion in a medium having a retarding force proportional to the velocity. F = m(dv/dt) = -mg-kmv dv/(kv + g) = -dt (1/k)ln(kv + g) = -t + c kv + g = e^(-kt+kc) v =...
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