All Problems

Mechanical Oscillations

Problem 4.44

Find the frequency of small oscillations of a thin uniform vertical rod of mass mm and length ll hinged at the point OO (Fig. 4.12 ). The combined stiffness of the springs is equal to x.x . The mass of the springs is negligible.

Reveal Answer
ω=3g2l(1+2xlmg)\omega=\sqrt{\frac{3 g}{2 l}\left(1+\frac{2 x l}{m g}\right)}
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