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

A mass follows the path of a cardioid r=1+sinφ with given speed, what is its period?

2. Relevant equations

3. The attempt at a solution

I attempt to do an integral on polar coordinates to find the distance covered by the mass first.

The integral I derived is

[tex]\int_0^{2\pi} \sqrt{r^{2}+(\frac{dr}{d\varphi})^2}d\varphi[/tex]

A mistake here? Or there are other methods to find the time?

Any help is appreciated.

UPDATE: I figure out the integral, but it is zero (ok, I know it's correct ya), but certainly not something I want.

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# Homework Help: Analytic mechanics in polar coordinates

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