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Math Help - Really need help! Tangential and normal components

  1. #1
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    Really need help! Tangential and normal components

    If , find the tangential and normal components of the acceleration vector.

    This is what I have so far





    Am I on the right track? My algebra is a little rusty. Can T be simplified? Is the next step to find N and then do a dot T and a dot N? correct?

    Thanks
    Jason
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  2. #2
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    Quote Originally Posted by kenshinofkin View Post
    If , find the tangential and normal components of the acceleration vector.

    This is what I have so far





    Am I on the right track? My algebra is a little rusty. Can T be simplified? Is the next step to find N and then do a dot T and a dot N? correct?

    Thanks
    Jason
    a_T = \frac{\vec{v} \cdot \vec{a}}{|\vec{v}|}

    a_N = \frac{|\vec{v} \times \vec{a}|}{|\vec{v}|}

    where \vec{v} = \frac{d \vec{r}}{dt} and \vec{a} = \frac{d^2 \vec{r}}{dt^2}.
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