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This video lists out some excellent text books on mechanics for JEE Physics Teachers looking forward to expand their horizon a little beyond JEE. Some of the books might be relevant to some very sharp students as well. The best would be that teachers extract the Gems from these books and deliver to their students according to their needs and capabilities.
For Sharp students if I have to recommend one book out of these, it would be "Introduction to Classical Mechanics" by David Morin.