Solving a Cycloid Equation: Finding θ(t)

[Orodruin]

And now, knowing A and B I have the solution for cos(θ/2)

So theta becomes ...?

 

[thomas91]

Hello!

¿

?

Thanks!

 

[Orodruin]

Hello!

¿

?

Thanks!

There we go!

 

[thomas91]

Finally! How can I calculate the oscillation period of the bean?

 

[Orodruin]

How long does it take until it returns to the original position?

 

[thomas91]

It will be

?

Simplified:

Thanks!

 

[Orodruin]

Bingo!

Or even simpler
$$
T= 4\pi \sqrt{\frac{a}{g}}
$$

 

[thomas91]

Thanks for everything Orodruin! Have a nice day :D