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Qmechanic
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A rope with length L$L$ and mass density per unit length ρ$ρ$ is suspended vertically from one end. Find the tension as a function of height along the rope

A rope with length $L$ and mass density per unit length $ρ$ is suspended vertically from one end. Find the tension as a function of height along the rope

I just don’t understand the way the functions have been used in the solution of the question  ( thisthis from morin’sMorin’s classical mechanics book)

A rope with length L and mass density per unit length ρ is suspended vertically from one end. Find the tension as a function of height along the rope

I just don’t understand the way the functions have been used in the solution of the question( this from morin’s classical mechanics book)

A rope with length $L$ and mass density $ρ$ is suspended vertically from one end. Find the tension as a function of height along the rope

A rope with length $L$ and mass density per unit length $ρ$ is suspended vertically from one end. Find the tension as a function of height along the rope

I just don’t understand the way the functions have been used in the solution of the question  (this from Morin’s classical mechanics book)

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A rope with length L and mass density per unit length ρ is suspended vertically from one end. Find the tension as a function of height along the rope

I just don’t understand the way the functions have been used in the solution of the question( this from morin’s classical mechanics book)