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Question

A wood plank (length 4.4 m and mass 13.0 kg) is balanced between two saw horses, as shown in the figure below. One saw horse is positioned directly under one end of the plank, and the other is located a distance d₁ = 3.4 m away. A child (mass 25 kg) walks along the plank, as if it were a balance beam. What is the furthest distance d₂ (in meters) from the end of the plank that the child can walk before the plank tips and falls? Hint: When the plank starts to tip, one of the forces becomes zero.