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Curvilinear Motion: Polar Coordinates (Engineering Dynamics)

  1. Jan 31, 2016 #1
    1. The problem statement, all variables and given/known data

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    2. Relevant equations


    3. The attempt at a solution
    I have stared at this for hours and don't know where to start. I think I need to get r in terms of t but I don't really know how with the information given. I just need a good hint to get started.
     
  2. jcsd
  3. Jan 31, 2016 #2
    In polar coordinates, what are the equations for the r and θ components of acceleration?
     
  4. Jan 31, 2016 #3
    a = (Rdouble dot - Rθdot2)eR + (Rθdouble dot + 2Rdotθdot)eθ

    I know a = 15 m/s2. I also know that the dot means the derivative is taken in respect to time. That's where I'm drawing a blank and why I thought the given R equation had to be manipulated in some way to be in terms of t. Or possibly solve for θ in terms of t and then substitute that equation into θ in the original given R equation.

    In all the examples we did in class θ was given in terms of t, so it was pretty simple to substitute that equation into the given r equation and then take the derivatives.
     
  5. Jan 31, 2016 #4
    From Eqn. 3.1, in terms of dθ/dt and θ, what is dr/dt?
    What is ##\frac{d^2r}{dt^2}## in terms of θ, dθ/dt, and d2θ/dt2.
     
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