Topic 4: Relative Motion of Particles

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4 Terms

1
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rA/B

what is the notation that represents the position of A relative to B

2
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rA = rB + rA/B

what is the equation that represents the absolute position of A relative to B

3
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  • labels ‘o’, ‘a’, ‘b’ are not points in space, they are labels to help us with drawing vector directions

  • each vector is drawn as an arrow from one labelled point to another

  • VA and VB are absolute vectors, so they are drawn from the same point labelled ‘o’

  • draw your arrows approximately to scale, this ensures the angles are approximately correct

what is the relative velocity/acceleration diagram convention

4
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  1. identify provided vector quantities (magnitude and direction) and what you’re trying to find

  2. state the relative motion equation to use

  3. draw the velocity or acceleration diagram

    • start with ‘o’ near the middle of the page

    • draw absolute vectors first

  4. check that your diagram(s) represent the equation in step 2

  5. decide on whether to use trigonometry or vector components to solve, be careful when doing inverse trig functions

  6. solve for the unknowns using the approach in step 5

  7. check your solutions make sense

what are the steps in solving relative motion problems