A non-uniform horizontal beam of mass \(M\) and length \(L\) is held in static equilibrium by two vertical strings. String 1 is attached to the left end of the beam, and String 2 is attached at a distance of \(\dfrac{3}{4}L\) from the left end. The center of mass of the beam is located at a distance of \(\dfrac{1}{3}L\) from the left end. Which of the following is a correct expression for the tension \(T_1\) in String 1?