A light rigid rod PQ is hinged smoothly to the wall at one end while the other end is connected by an inextensible string to a point R directly above P. A weight W is suspended from a point on the rod. If the rod remains horizontal, which of the following change(s) would increase the tension in the string?
(1) Shifting the weight towards Q
(2) Replacing the string with a shorter one and connecting it to the mid-points of PQ and PR
(3) Replacing the string with a longer one and connecting it to a point higher than R
The Attempt at a Solution
I guess the first one is correct, as the force will be greater when W is farer away from the hinged point, but i have no idea how the length of the string is related to the tension.
Is it related to the L/g ^1/2?