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anonymous

  • 5 years ago

Parametrize a disk of radius a which lies on the yz plane and is oriented clockwise when viewed from the positive x-axis.

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  1. anonymous
    • 5 years ago
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    I'm not too sure about what you mean by 'oriented clockwise'. I'm going to assume you mean that the position vector rotates clockwise when we view down along the positive x-axis. If the disk lies in the y-z plane, with y horizontal and z vertical, then the position vector will be, \[(y,z)=({a}\cos(-{\theta}),{a}\sin(-{\theta}))=({a}\cos({\theta}),-{a}\sin({\theta}))\]Setting

  2. anonymous
    • 5 years ago
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    \[\theta \rightarrow -{\theta}\]will allow the position vector to rotate clockwise as you increase theta. I hope this is what you're looking for.

  3. anonymous
    • 5 years ago
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    Yes, thank you.

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