The left end of a massless stick with length $ℓ$ is placed on the corner of a table, as shown in Fig. A point mass m is attached to the center of the stick, which is initially held horizontal. It is then released. Immediately afterward, what normal force does the table exert on the stick?

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CT44 m2 diagram

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Immediately after release, take moments about the table corner. For the point mass at ℓ/2, α=2g/ℓ and its vertical acceleration is g. The force balance gives the table normal N=mg/6.

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