Transcription of THE HANGING CABLE PROBLEM FOR PRACTICAL …
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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. In both cases we assume that the only knownquantities are the heights of the poles and the length of the many PRACTICAL applications it is necessary to determine therelationship between the length of a CABLE HANGING from two vertical poles, theheight of the poles and the lowest distance between the CABLE and the ground. Suchapplications include electrical or telephone cables which, when HANGING too low,could cause property damage or injuries and even deaths.
CATENARY 75 We can generalize this example and find a general method for calculating the distance between two unequal poles given the poles’ heights z1and z2 and the cable length y when the cable barely touches the ground (See Figure 4). …
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