A uniform rope of mass `m` and length `L` is attached to the ceiling of a lift. The other end of the rope is attached to a block of mass `M`. The lift is moving up with a constant acceleration `a_(0)`. Find the tension in the rope at a distance `x` from the ceiling as shown in the diagram.

Explanation

Applying a cut at `P`

`T-[M+(m)/(L)(L-x)]g=[M+(m)/(L)(L-x)]a_(0)`
`T-[M+(m)/(L)(L-x)](g+a_(0))`