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Say Jim is falling from a typical balcony (see image; he's too short and thus can't exert any forward momentum to make himself land safely in the balcony below, so he has to rely on his arm strength to catch the railing below him if he falls). Also, there is an obstacle on the floor of the balcony he is holding onto, so he can't pull himself up directly.

How much force must Jim's shoulders and fingers be able to withstand to catch a balcony one floor below the one he is falling from? ...