Find the locus of a pt in polar form

  • Thread starter VHAHAHA
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  • #1
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the question is showed below
i know that x=rcos θ and y= rsinθ and x^2 + y^2 = R^2
but i just dun know how to find the locus is polar form
any clue ?
 

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Answers and Replies

  • #2
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All you have to do is to find the position of the ring in terms of r and θ.
It's easy to get r in terms of t and also θ in terms of t.

That gives you two formulae - you just have to eliminate 't' between them.
 
  • #3
58
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All you have to do is to find the position of the ring in terms of r and θ.
It's easy to get r in terms of t and also θ in terms of t.

That gives you two formulae - you just have to eliminate 't' between them.

u mean

r= (u)t
and
θ= (w)t

so
rw=uθ and then rw-uθ=0 ??

actually i have listed this equ but i just don't believe my self
i feel that i have missed something
 
  • #4
668
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Ya gotta have faith.

If you're not sure, draw the locus (path).
Note that rω = θu can be written as r = kθ where k is a constant - that's easy to plot.
 
  • #5
58
0
Ya gotta have faith.

If you're not sure, draw the locus (path).
Note that rω = θu can be written as r = kθ where k is a constant - that's easy to plot.
the path will be something like a @ ??
 

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  • #7
58
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ya i got it, thx
 

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