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Problem $16\mathrm{.}158-$ Centroidal rotation $-$ DEPENDENT MULTI$-$PART PROBLEM $-$ ASSIGN ALL PARTS

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

The uniform rod $\backslash ($ A B $\backslash )$ of weight $\backslash ($ W $\backslash )$ is released from rest when $\backslash (\backslash$beta$=72^\{\backslash$circ$\}\backslash ).$

Problem $16\mathrm{.}158.$b $-$ Centroidal rotation

Assuming that the friction force is zero between end $\backslash ($ A $\backslash )$ and the surface, determine the acceleration of the mass center of the rod immediately after release.

The acceleration of the mass center of the rod is

$*\backslash (\backslash$mathrm$\{$g$\}\backslash$downarrow $\backslash ).$