Let us assume by default that the lever in this case is in equilibrium.
As we know from the school physics course, the equilibrium position of the lever can be described in the form of the following formula:
F1 / F2 = l2 / l1.
Let us determine what the length of the arm will be, on which a force equal to 50 N acts, when it is precisely known from the condition of our problem that a force of 13 N acts on the other arm 13 centimeters long:
l2 = l1 * F1 / F2;
13 * 13: 50 = 169: 50 = 3.38.
Answer: The shoulder length will be 3.38 centimeters.
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