Analysing a pulley block system

AI Thread Summary
The discussion focuses on analyzing a pulley block system involving two identical blocks connected by a weightless, inextensible thread over a pulley. One block is on a table, while the other hangs off the edge, creating a taut thread when released. Participants are encouraged to derive the equations of motion for both blocks based on the forces acting on them. The initial request emphasizes the need for clarity despite the absence of a diagram. The analysis aims to fully understand the dynamics of the system.
Boltzmann2012
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A pulley is mounted at the edge of a table.
A block is connected to an identical block through the pulley(assumed to be weightless)by a weightless in-extensible thread of length 2l. The left block rests on the table at a distance l from the edge (where the pulley is mounted) while the right block is kept at the same level(not on the table, outside) so that the thread is just taut and does not sag, and then released.

Can we analyze this system completely,that is, write the equations of motion for both the blocks
As a function of a specific variable. Any help is appreciated.the extensive description was due to the unavailability of the diagram.

Regards,
Boltzmann2012
 
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Start by writing down the forces on each block.
 

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