(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the following forces are conservative:

a) [tex]\vec{F}[/tex]=c([tex]\vec{\omega}[/tex]x([tex]\vec{\omega}[/tex]x[tex]\vec{r}[/tex]))

b) [tex]\vec{F}[/tex]=d([tex]\vec{\omega}[/tex]x[tex]\vec{v}[/tex])

where c and d are constants.

2. Relevant equations

There are probably more but I think helpful ones include:

[tex]\vec{\nabla}[/tex]x[tex]\vec{F}[/tex]=0

[tex]\vec{v}[/tex]dt=d[tex]\vec{r}[/tex]

3. The attempt at a solution

First I think equation a is just the Centrifugal force in the force equation for a rotating system and equation b is the Coriolis force. I could be wrong though.

We were told for part a that we should just evaluate for the x-component and assume symmetry for the rest. I think for part a the curl should first be calculated.

For part b I believe it would be helpful to show that the force along any path would be zero first. But I'm not sure how to go about this.

Thank you for your time and help!

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# Homework Help: Mechanics - Show Forces Are Conservative

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