$[-/1$ Points$]$

$$ OSUNIPHYS$110\mathrm{.}6.$P$\mathrm{.}075.$

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What hanging mass $($in kg $)$ must be placed on the cord to keep the pulley from rotating $($see the following figure$)?$ The mass on the frictionless plane is $5\mathrm{.}1$ kg $.$ The inner radius of the pulley is $20$ cm $,$ and the outer radius is $27$ cm $.($Assume the $5\mathrm{.}1$ kg mass and the hanging mass are only connected to the inner and outer radii, respectively.$)$

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kg

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