- #1
NoWorry
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Hello. Before I ask a question I want you to remind that it is my first time to use this page. And I am not even good at speaking english. My question is about the fictitious forces. I have made a long proof for the formula of the force in the non-inertial reference frame with the second law of Newton, that is
[itex]m\boldsymbol{\ddot{r}}=\boldsymbol{F}-m\boldsymbol{\ddot{R}}_{0} -m\left (\boldsymbol{\dot{\omega}} \times \boldsymbol{r} \right )- \underbrace{2m\left (\boldsymbol{\omega} \times \boldsymbol{\dot{r}} \right )}_\text{Coriolis kraft} -\underbrace{m\left [\boldsymbol{\omega} \times \left (\boldsymbol{\omega} \times \boldsymbol{r} \right ) \right ]}_\text{Centrifugal kraft}[/itex]
Note that "Kraft" in danish means "force". I use danish because I live in denmark. This equation where the left side is the force in the non-inertial reference frame. The first term to right is the total force in the inertial reference frame. The two last last terms to right is the rotation reference frame.
The question is: How do I interpret this equation when I don't know what (second and) third term to right say? I think (I am not sure) the second term to right is what that makes the non-inertial reference frame to accelerate from the origin of the inertial reference frame while the third term is to make rotate with the angular acceleration [itex]\boldsymbol{\dot{\omega}}[/itex]. Could you please explain/verify?
[itex]m\boldsymbol{\ddot{r}}=\boldsymbol{F}-m\boldsymbol{\ddot{R}}_{0} -m\left (\boldsymbol{\dot{\omega}} \times \boldsymbol{r} \right )- \underbrace{2m\left (\boldsymbol{\omega} \times \boldsymbol{\dot{r}} \right )}_\text{Coriolis kraft} -\underbrace{m\left [\boldsymbol{\omega} \times \left (\boldsymbol{\omega} \times \boldsymbol{r} \right ) \right ]}_\text{Centrifugal kraft}[/itex]
Note that "Kraft" in danish means "force". I use danish because I live in denmark. This equation where the left side is the force in the non-inertial reference frame. The first term to right is the total force in the inertial reference frame. The two last last terms to right is the rotation reference frame.
The question is: How do I interpret this equation when I don't know what (second and) third term to right say? I think (I am not sure) the second term to right is what that makes the non-inertial reference frame to accelerate from the origin of the inertial reference frame while the third term is to make rotate with the angular acceleration [itex]\boldsymbol{\dot{\omega}}[/itex]. Could you please explain/verify?
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