Thanks. It's very late here in the UK so I'll actually write this up tomorrow - the flu really isn't helping my thought process!
So in short I need to show that ##\theta(0) = \theta(4t_2)## and that ##\dot\theta(0) = \dot\theta(4t_2)##? And then use a similar argument from before, from my...
I think I need to prove that ##\theta(4t_2) = \theta(0)## but I'm not entirely sure... I think to do that I would need to basically run through a very similar argument again and then use cauchy-lipschitz to show uniqueness
Noted for the future.
The minus sign is a typo, thanks for pointing that out!
At time t=2t2, we have that it's equal to ##\theta(-t)## by symmetry, since it's the furthest "left" position of the mass (taking moving from left to right as being negative).
Hi,
Sorry I should've given more information. The equation I'm drawing on as is as you said is ##\ddot\theta = -csin\theta## and this is just the regular sine function multiplied by a constant, c. No complex sine - sorry for the...
Homework Statement
I'm writing a small project as part of my degree, and I am stuck on proving one (probably simple!) thing towards the end. I've shown that the pendulum is periodic and has a total period of 4t2.
Homework Equations
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The Attempt at a Solution
I think I need to...