Homework StatementA uniform rope of mass m and length L is attached to a block of mass M. The rope is pulled with force F. Find the tension at a distance x from the end of the rope.
Homework EquationsT(total)=Ma, F-T(total)=ma & T(total)/L=T(x)/x
The Attempt at a Solution
T(total)=Ma, F-T(total)=ma => T(total)=(MF)/(1+mM)
This is the part I'm confused about. I assumed the following proportion. T(total)/L=T(x)/x
This implies, T(x)=(T(total)/L)x= (M/(L(mM+1)))x
Am I right in my reasoning?