Solve Cable Tension Problem with Density & Mass

AI Thread Summary
To solve the cable tension problem, it's essential to calculate the total mass below a specific point, which includes both the load and the mass of the cable itself. The density of the cable is crucial for determining its mass, as it allows for the calculation of how much mass is present in the length of the cable below the point of interest. By incorporating the cable's density, one can derive the tension in the cable as a function of the distance from the lower end. Understanding this relationship is key to solving the problem effectively. Properly accounting for both the load and the cable's mass will yield the correct tension values.
gap87guy
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im confused as to how density is incorporated in this problems solution. any help as to how to solve this problem would be much appretiated.

consider a heavy cable of diameter d and density p from which hangs a load of mass M. what is the tension in the cable as a function of the distance from the lower end?
 
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gap87guy said:
im confused as to how density is incorporated in this problems solution.

you need to figure out the total mass below a given point. this includes the mass of the rope too. you need the density of the rope to find the mass of the rope.
 

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