Then... Recapitulating
2nd condition = > θ' = 0 and t = 0 (rest position)
So I obtained B setting θ' (t = 0) = 0; so B = 0
And now, knowing A and B I have the solution for cos(θ/2)
Hello!
I think this:
a) Find the solution θ(t) which in the case of a bead at t = 0 falls from rest from the corresponding point θ= π/2
Then:
What do you think?
Sorry! It was a mistake...
The linear equation is:
The characteristics polynomial is:
With complex roots:
The general solution:
We need to know the particular solution. True?Thanks!
Hello! If you do not mind, I prefer to finish the exercise by this method and later solve by the method you suggest
Then, the second derivative is:
Replacing first and second derivative:
And simplifying:
Simplifying again:
What do you think? Thanks and have a nice sunday