Torsoin pendulum with meter stick

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faizulhu
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Homework Statement



A meter stick is hung at its center from a thin wire. It is twisted and oscillates with a period of 6.0 s. The meter stick is sawed off to a length of 70.0 cm. This piece is again balanced at its center and set in oscillation.

Homework Equations



T = 2PI / (omega) = 2PI * (sqrt(I/k)) where I = m.o.i and k =torsion constant

The Attempt at a Solution



I managed to get the value for the two period

T = T_0 * sqrt (I / I_0) where T_0 and I_0 are the initial parameters. The problem is the question does not state the I and I_0. I tried considering it to be a thin rod but failed. The correct answer is 3.5s.
 
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  • Two diagrams labeled (a) and (b), each showing a horizontal meter stick hung from a thin vertical wire attached to a pink bar at the top, with a curved arrow indicating twisting motion; in (b) the stick is shorter.
    GIANCOLI.ch14.p53.jpg
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