What is the mass of the diver in Fig. 9–49 if she exerts a torque of 1800 m \cdot N on the board, relative to the left (A) support post?

This is Giancoli Answers with Mr. Dychko. The torque exerted by this diver about support post A is gonna be the diver's weight mg multiplied by their distance to the support A which I have labeled l subscript D for the lever arm of the diver. And we can solve for mass by dividing both sides by gl D and so that mass is gonna be torque divided by gl D and that's 1800 newton meters divided by 9.8 newtons per kilogram times 3.0 meters plus 1.0 meter so that's a total of 4.0 meters away from between the support post and the diver and that gives about 46 kilograms.

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What is the mass of the diver in Fig. 9–49 if she exerts a torque of 1800 m⋅N1800 \textrm{ m}\cdot\textrm{N}1800 m⋅N on the board, relative to the left (A) support post?

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What is the mass of the diver in Fig. 9–49 if she exerts a torque of $1800 \textrm{ m}\cdot\textrm{N}$ on the board, relative to the left (A) support post?