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heenac2

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[Note from mentor: this thread was originally posted in a non-homework forum, therefore it does not use the homework template.]

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So I've been asked to prove that in a harmonic function where

a(t)+w

that

(1) v(t).v(t)+w

and

(2) r(t).v(t)=constant vector

where a(t)=acceleration, v(t)=velocity, r(t)=position

By deriving (1) I found that

2[a(t)+w

By deriving (2) I get

v(t).v(t)+r(t)a(t)= v(t).v(t)+r(t)[-w

How do I finish this?

Can anyone please explain what the point of this proof is?

Thanks!

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So I've been asked to prove that in a harmonic function where

a(t)+w

^{2}r(t)=0that

(1) v(t).v(t)+w

^{2}r(t).r(t)=constant scalarand

(2) r(t).v(t)=constant vector

where a(t)=acceleration, v(t)=velocity, r(t)=position

By deriving (1) I found that

2[a(t)+w

^{2}r(t)].v(t)=0 because a(t)+w^{2}r(t)=0By deriving (2) I get

v(t).v(t)+r(t)a(t)= v(t).v(t)+r(t)[-w

^{2}r(t)] because a(t)=-w^{2}r(t)How do I finish this?

Can anyone please explain what the point of this proof is?

Thanks!

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