ProblemSet 1: Problem 4.Problem:A particle’s position is given byx=L[(t/τ)3−3(t/τ−1)2],whereLandτare characteristiclength and time scales. Compute the time at which the acceleration is zero. What are the position andvelocity of the particle at this time?Solution:First, to simplify the differentiation process, rewrite the particle’s position as follows.x=Lτ3Jt3−3τ(t−τ)2oThe velocity of the particle is
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This note was uploaded on 10/12/2009 for the course AME 301 at USC.