 #1
Lambda96
 57
 17
 Homework Statement:
 Can one throw away terms from the Lagrangian that you obtained in a) and still preserve the equations of motion?
 Relevant Equations:

Result from task 1
##L=\frac{1}{2}m(\dot{\theta}^2l^22\dot{\theta}lsin\theta A\omega sin(\omega t)+A^2\omega^2sin^2(\omega t))+mg(\dot{\theta}lsin\thetaA\omega sin(\omega t))##
In problem 1 I assumed that the suspension moves up and down in an oscillating manner, so ##y_0(t)=Acos(\omega t)##
I am not quite sure about task 2, but I would say you can remove the motion of the suspension and the motion of the system would not change noticeably, as I assume that the suspension is moving at constant speed and therefore no external force is acting on the system and thus not affecting its motion. So whether the suspension moves or not does not change the typical motion of the pendulum.