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THE HANGING CABLE PROBLEM FOR PRACTICAL …

Atlantic of , Number1, HANGING CABLE PROBLEM FOR PRACTICALAPPLICATIONSNeil Chatterjee and Bogdan G. NitaDepartment of Mathematical SciencesMontclair State UniversityMontclair, NJ investigate the ` HANGING CABLE ' PROBLEM for PRACTICAL applica-tions. We focus on determining the minimum distance between two verticalpoles which will prevent a CABLE , HANGING from the top of these poles, to touchthe ground. We consider two set-ups, starting with the case of equal poles thengeneralizing to unequal poles.

CATENARY 71 the shape of the catenary is known. However, in the problem we are investigating, we are regarding a as an unknown which depends on the distance between the poles that the cable is hanging from . In this paper we deal with the limiting case in which the catenary is tangent to

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