Can the spell floating disk cut objects?
The text of the spell doesn't give any restriction on where you can summon the disk, so could you summon it halfway through a lock or door to gain entry?
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The spell floating disk has the entry Effect 3-ft.-diameter disk of force, making it an effect spell, and Aiming a Spell on Line of Effect, in part, says, "You must have a clear line of effect… to any space in which you wish to create an effect."
Thus in the same way a summon monster spell can't explode a foe by conjuring a creature within that foe, a floating disk can't be created so that it shatters a door or lock.