Question

a uniform heavy rope is being pulled by a force 100 N find tension at its mid point

​

Answer 1

Let the mass of the rope AB be m . 

Acceleration of the rope = a = mF

Let the force be applied at the end A and the point at a distance x from point A be P .

Tension in the rope at a distance x from end A (at point P)

                    = Force required to move the remaining part with acceleration a

Linear mass density of the rod = lm

Mass of the remaing part i.e. part PB = lm(l−x)

Force required to move the remaining part = mass*acceleration

                                                                         = lm(l−x)mF

Therefore , tension in the rope at a distance x from the 

end at which the force is applied is  F(ll−x).