Recent content by physics_cosmos

I don't believe the differential equation is linear, or resolvable into linear form, so I don't think that that would help me get to a solution. I hope you can help me find another way, though.

This Wolfram Alpha Page contains a derivation of the parametric form of the brachistochrone curve that result from either assuming friction or its absence. I am asking for help understanding how the solution to the differential equation obtained from applying the Euler-Lagrange equation to the...

Hi, not sure if it is ok to revive an old question, I am also having trouble following some of the steps in this demonstration, in particular steps (28) to (29). I know what the Euler Lagrange equation is, but applying it to the integrand in (28) does not appear to simplify to (29). Would anyone...

Hi, thanks for the reply. I am looking more for some qualitative analysis. Exactly forces are involved? The tension in the long suspending string, as in the situation for SHM. In addition the tension from the horizontal string must come into account, I guess? Just a bit lost as to how to put all...

Assume that initially one of the pendula is displaced at an angle perpendicular to the plane defined by the fixed posts indicated in the diagram, and that the other pendula is initially at equilibrium. It is a self-imposed problem that I have set myself, to understand the dynamics of this...

Homework Statement My problem/task is to explain in elementary terms the dynamics of a string coupled pendulum, the same as in this diagram: Is it simple to make a free body diagram for the pendulums? Is it possible to understand the motion as being caused by SHM oscillation of the top...