From the Super Mario Wiki
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Big Grinders are larger versions of Grinders that appear in Super Mario Galaxy 2 and New Super Mario Bros. 2. In Super Mario Galaxy 2, they act the same as normal Grinders, but are slower, and generally cut down larger platforms. In New Super Mario Bros. 2, they only appear in World 3-, and like normal Grinders, they can only be defeated with an Invincibility Leaf and a Super Star. They tend to come from the ceiling or from underwater and chase the player for a while before retreating.