As we’ve discussed before, the tension in a rope on either side of a frictionless pulley is constant. Therefore, T_1 = T_2 = T_3 = T. To determine the value of T, we consider the equilibrium of the floating pulley: the downward force of the weight, W, must be balanced by the two upward tension forces. So W = 2 T, and therefore T = W/2. The tackle gives us a mechanical advantage of 2.
Last modified: January 22, 2009 at 8:32 PM.