# Movement Equation Of A Particle In A Non Inertial System (Polar Coordinates)

physics non-inertial system polar coordinates

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### #1 velvetmist

velvetmist

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Posted 05 December 2018 - 11:27 PM

Problem:
A particle of a mass $m$ is embedded in a circular rail, (radius: $R$), without any friction. In a given moment, the particle finds itselfs without velocity at point C, and a force is applied on the rail, which starts moving with an $\vec A$ constant acceleration. Use a non-inertial system fixed to the rail to solve the problem.

Arrange the Newton's equations, and find the movement equation of the particle.

(It was originally in spanish that's why I only screenshoted the graph)

My attempt at a solution:
$\vec F_v = bending force$

So I manage to integrate $\ddot \varphi$ so i get [/math]\dot \varphi (\varphi)[/math], but I guess i have to find $\varphi (t)$ to get the movement equation, and I'm really stuck at this point.