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dirk_mec1
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Homework Statement
A homogeneous bar with length 0.6 m and mass m = 2 kg is fixed to a wall via a hinged connection in the vertical plane. At the end of the bar a constant force F acts of 150 N. The bar is released from the vertical equibrilium position. Determine the velocity (of the COG) and the angular velocity of the bar when the bar reaches a horizontal postition.
The answer from the book is: [itex]\omega [/itex] = 26.4 rad/s and [itex]v_{COG}[/itex] = 7.9 m/s
Homework Equations
Work moment : [tex] M = I \theta [/tex]
Rotational energy:
[tex] \frac{1}{2} I \omega ^2 [/tex]
The Attempt at a Solution
[tex] M \theta =\frac{1}{2} I \omega ^2 =\frac{1}{2} (\frac{1}{3}ML^2) \omega ^2 [/tex]
[tex] 150 \cdot0.6 \cdot \pi/2= 1/2 \cdot 1/3\cdot 2 \cdot 0.6^2 \cdot \omega^2 \rightarrow \omega =\ 34.32 rad/s [/tex]
What mistake am I making?
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