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Locus Question on multiple moving objects

  1. Feb 8, 2013 #1
    Hi,

    I had a some locus questions, these are not a homework question but I was just curious as to how anyone would go about them.

    Q1. Lets say there is kid walking in a circle of diameter 2 m at a speed of 1 m/s at the back of a truck. The truck is headed due east at a speed of 15 m/s. What equation would describe the locus of the head of the kid, with respect to the (stationary) ground, if we consider eastward as the x-axis?

    OR

    Q2. I also had one more actually, I have a cylinder of diameter 4 m, rolling down an incline that has an angle of 30 degrees. Inside the cylinder, there is an object oscillating uniformly at a speed of 10 Hz. (i.e. 10 oscillations across the diameter per second).

    If we consider the incline as the x-axis, and the object oscillating about that diameter which is perpendicular to the x-axis, what would describe the locus of the oscillating object?

    How do we go about finding the equation for such "superimposed motions" would trace out on a x-y plane and get an equation in terms of parametric form or as y = f(x) ?

    The scale of the x-y plane is say in SI units. That is 1 unit in each of the axes is 1 m.
     
    Last edited: Feb 8, 2013
  2. jcsd
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