Frequency of Oscillation of a monkey hanging from a tree

AI Thread Summary
The discussion revolves around calculating the frequency of oscillation for a gibbon swinging from a tree branch. The user initially attempts to use the equations for period and frequency, incorporating the given values for rotational inertia and distance from the branch. After some calculations, they realize their results are incorrect and express confusion regarding the use of the I/m value. Ultimately, the user resolves the issue independently and finds the correct solution. The thread highlights the importance of correctly applying physics formulas in oscillation problems.
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Homework Statement



A gibbon, hanging onto a horizontal tree branch with one arm, swings with a small amplitude. The gibbon's center of mass is 0.410 m from the branch and its rotational inertia divided by its mass is I/m = 0.289 m2. Estimate the frequency of oscillation.


Homework Equations



d = 1/2L
T = 2π * SQRT(I/mgd)
f = 1/T

The Attempt at a Solution



Okay, they have given me I/m, and I need to find f using the last equation. In order to find T, I need to use the first and second equation.

d = 1/2(.410)
d = .205

I/m = .289 m2

T = 2π * SQRT([.289][9.8][.205])
T = 2π * .762
T = 4.78

f = 1/4.78
f = .209 Hz

Which is, of course, wrong. I'm thinking I'm getting confused by the I/m = 0.289 m2 value which is throwing off how I plug and chug. I may even have the wrong equation. Thanks for all your help.
 
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Nevermind, I solved it!
 
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