The distance from the left end of the beam to the point where the rope is attached, x = 2.33 m.
To determine the distance x, we first solve for m1 as follows:
(m₁ + m₂ + m₃) * g = T
(m₁ + 10 + 40) * 9.81 = 637 N
m₁ = 15 kg
Taking torque about the left end of the beam:
15 * x + 10 * (1.5 - x) = 40 * (3- x)
15x + 15 - 10x = 120 - 40x
45x = 105
x = 2.33 m
In conclusion, the sum of torque about the pivot is zero.
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