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adoado
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Homework Statement
A body of arbitrary shape has a mass m, mass center at G with a distance of D and a radius of gyration about G of K. It is hanging, and pinned at the top. If it is displaced a slight amount of angle P from it's equilibrium position and released, determine the natural period of vibration.
Homework Equations
The Attempt at a Solution
Sum of Torques = Ia. Hence, I = K2m
The torque applied by gravity: -mgDSinP = K2ma
Hence, mgDSinP + K2ma = 0
By the small angle approximation..
mgDP + K2mP'' = 0
Is this correct so far? I am lost at what to do next,
Cheers,
Adrian
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