A bottle of mass mb = 0.1 kg and volume V = 0.1 m3 is attached to the bottom of a vertical thin rod of length ` = 1 m an

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A bottle of mass mb = 0.1 kg and volume V = 0.1 m3 is attached
to the bottom of a vertical thin rod of length ` = 1 m and mass mr
= 2 kg, that is hinged at the top end. The bottle is full of
hydrogen (mH = 1.67 × 10−27 kg) and is at atmospheric pressure and
temperature T0 = 20 0C.
(e) To what height will the rod/bottle system swing up to?
(Hint: Don’t forget about the center of mass of the rod.)
Angular velocity is 30 rad/sec