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A cart of mass M is at rest on a frictio...

A cart of mass `M` is at rest on a frictionless horizontal surface and a pendulum bob of mass `m` hangs from the roof of the cart. The string breaks, the bob falls on the floor, makes several collisions on the floor and finally lands up in a small slot made on the floor. The horizontal distance between the string and the slot is `L`. Find the displacement of the cart during this process.

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