Two objects connected with a rope, between them there is a nail...

Oct 2019
2
0
Two objects (their mass is m_1 and m_2) are connected with an ideal rope on a flat surface. Next to the rope there is a nail. If we toss one of the objecs what will be their trajectory?
I think i should use the Euler-Lagrangian theorem, but i have no idea how to use it. No friction.
 

ChipB

PHF Helper
Jun 2010
2,361
289
Morristown, NJ USA
Just to clarify your question: you say you "toss" one of the objects, but do you actually mean you slide it across the surface, presumably in an initial direction perpendicular to the rope so that the rope wraps around the nail? The word "toss" generally means to throw something in the air, in which case the nail would serve no purpose.
 
Oct 2019
2
0
Yea, you give it a v velocity perpendicular to the rope. Sorry for my bad english skills.