Problem $16$: $(6\backslash \%$ of Assignment Value$)$

A uniform rod of length $1\mathrm{.}01$ m and mass $0\mathrm{.}59$ kg is supported horizontally by a collar that is attached to a vertical wall, as shown. A second uniform rod of length $0\mathrm{.}27$ m and mass $0\mathrm{.}23$ kg is attached to the first, with the far ends of the rods aligned as shown.

What is the magnitude of the total torque, in newton meters, exerted on the longer rod due to the force of gravity? Assume that the axis extends perpendicularly out of the page and is located at the collar, which has negligible length.

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$\backslash$left$.\backslash$left$|\backslash$Sigma $\backslash$tau$\_\{$g$\}\backslash$right$|=\backslash$mid $\backslash$quad$\backslash$right$]\backslash$mathrm$\{$N$\}\backslash$cdot $\backslash$mathrm$\{$~m$\}$

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