Find the tension a in the string as a function of height a

[pyrothai]

A mass a hangs at the lower end of a vertical string, in equilibrium under the force of gravity a. The string has constant mass density a per unit length. The mass is at a, and the string is attached to the ceiling at a. Find the tension a in the string as a function of height a .

 

[kleinwolf]

I suppose by tension you mean the force on the point at height h not forcedly equal to a (?), like : f(h)=g(m+h/a*rho) ? where h=distance from the mass to the attachment point at the ceiling ?

 

[Ojwang]

Can you draw the diagram of the hanging mass and label the various forces acting on it, from there you'll get an idea on how to go about the problem.