A uniform 5.0 m long 25 kg plank is to hold two people washing windows on a downtown skyscraper. The plank is supported by a rope at each end, and each of the ropes has a breaking point of 1200 N (the maximum tension allowed before the rope breaks). If the mass of the window washer that is standing 1.0 m from the right end of the plank is 85 kg and the second window washer with a mass of 75 kg stands 2.0 m from the left end of the plank, then what are the magnitudes of the tensions in each rope? Do either of the ropes break? Include a force or free-body diagram of the situation.

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A uniform 5.0 m long 25 kg plank is to hold two people washing windows on a downtown
skyscraper. The plank is supported by a rope at each end, and each of the ropes has a
breaking point of 1200 N (the maximum tension allowed before the rope breaks). If the mass
of the window washer that is standing 1.0 m from the right end of the plank is 85 kg and the
second window washer with a mass of 75 kg stands 2.0 m from the left end of the plank, then
what are the magnitudes of the tensions in each rope? Do either of the ropes break? Include a
force or free-body diagram of the situation.
Transcribed Image Text:A uniform 5.0 m long 25 kg plank is to hold two people washing windows on a downtown skyscraper. The plank is supported by a rope at each end, and each of the ropes has a breaking point of 1200 N (the maximum tension allowed before the rope breaks). If the mass of the window washer that is standing 1.0 m from the right end of the plank is 85 kg and the second window washer with a mass of 75 kg stands 2.0 m from the left end of the plank, then what are the magnitudes of the tensions in each rope? Do either of the ropes break? Include a force or free-body diagram of the situation.
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