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Yes.Saints-94 said:Will the acceleration be twice as much at the block compared to the log?
But now I should confess something. The question posed is whether the log will move. To answer that, you do not need to worry about how fast it will move. You can suppose that it does not move, so there are no accelerations, and see whether the balance of forces is consistent with that.
However, most multiple pulley questions do involve different accelerations, and I felt it was important you found out how to deal with these.