Posted by Karan on Wednesday, December 12, 2012 at 1:37am.
A rod of length L = 1.2 m pivots freely about one end. The rod is held horizontally and released, with no intial velocity. Find the angular velocity of the rod as it passes through the vertical orientation. (Use conservation of energy. The rotational inertia of a rod like this is I = (1/3)mL2.) The units are rad/s.

physics  Karan, Wednesday, December 12, 2012 at 1:41am
The answer I get is 12.24 rad/s. Can anyone confirm this?

physics  Elena, Wednesday, December 12, 2012 at 6:02am
PE =KE =KE(trans)+ KE(rot) =
mgL=mv²/2 +Iω²/2=
=m ω²L²/2 + m ω²L²/3•2=
=2 m ω²L²/3,
ω=sqrt(3g/2L)=sqrt(3•9.8/2•1.2) =
=sqrt(12.24)=3.5 rad/s
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