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AP Physics C: Mechanics
7.5 Simple and Physical Pendulums
7.2 Frequency and Period of SHM
2.8 Spring Forces
Multi-Unit
AdvancedMCQMathematicalConceptual13.7k
A uniform rod pivoted at its base and supported by a horizontal spring at its midpoint.
A uniform rod pivoted at its base and supported by a horizontal spring at its midpoint.
A uniform rod of mass \(M\) and length \(L\) is attached to a frictionless pivot at its base so that it can rotate freely in a vertical plane.

A horizontal ideal spring of force constant \(k\) is connected between a fixed vertical wall and the midpoint of the rod, as shown.

The rod is in equilibrium in the vertical position where the spring is unstretched.

Assuming \(k > \dfrac{2Mg}{L}\), what is the angular frequency of small-amplitude oscillations of the rod about this equilibrium position?

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